Spectrum Estimation and Harmonic Analysis

Proceedings of the IEEE

Volumn 70, Issue 9, 1982, Pages 1055-1096

  Thomson, David J ^a  

^a LUCENT TECHNOLOGIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DISCRETE PROLATE SPHEROIDAL SEQUENCES; ESTIMATION CAPACITY; SPECTRUM ANALYSIS; SPECTRUM ESTIMATOR;

MATHEMATICAL TECHNIQUES - HARMONIC ANALYSIS;

EID: 0020189541     PISSN: 00189219     EISSN: 15582256     Source Type: Journal    
DOI: 10.1109/PROC.1982.12433     Document Type: Article

References (362)

1. Bell Syst. Tech. J. (Special Issue on the WT4 Millimeter Waveguide System), vol. 56, no. 9, 1977.
2. Proc. RADC Spectrum Estimation Workshop, 1978.
3. Proc. 2nd RADC Spectrum Estimation Workshop, 1979.
4. Directions in Time Series, D. R. Brillinger & G. C. Tiao; eds., Institute of mathematical statistics, 1980.
5. M. Abramowitz, AND I. A. Stegun, eds. Handbook of Mathematical Functions (Applied Math Series 55). Washington, DC: NBS, 1965.
6. D. Achilles, “Deconvolution algorithms based on spline interpolation,” in Proc. ICASSP80, pp. 950-953, 1980.
7. A. C. Aitken, “On least squares and linear combination of observations,” Proc. Roy. Soc. Edinburgh, vol. 55, pp. 42-48, 1935.
8. H. Akaike, “Some problems in the application of the cross-spectral method,” in Spectral Analysis of Time Series, B. Harris, ed. New York: Wiley, 1967, pp. 81-108.
9. H. Akaike, “On the use of an index of bias in the estimation of power spectra,” Ann. Inst. Statist. Math., vol. 20, pp. 55-69, 1968.
10. V. G. Alekseev, “Calculation of spectra of stationary random processes on the basis of large samples,” Prob. Infor. Trans., vol. 16, pp. 30-35, 1980.
11. V. G. ALEKSEEV, “ON ESTIMATION OF SOME FUNCTIONALS OF SPECTRAL DENSITY OF GAUSSIAN RANDOM PROCESSES,” Theory Prob. & Appl., vol. XXV, pp. 267-273, 1980.
12. V. G. ALKSEEV AND A. M. YAGLOM, Nonparametric and Parametric Spectrum Estimation Methods for Stationary Time Series (TIME SERIES), O. D. ANDERSON, ED. AMSTERDAM, THE NETHERLANDS: NORTH-HOLLAND, 1980, pp. 401-422.
13. J. B. ALLEN AND L. R. RABINER, “UNBIASED SPECTRUM ESTIMATION AND SYSTEM IDENTIFICATION USING SHORT-TIME SPECTRAL ANALYSIS METHODS,” Bell System Tech. J., vol. 58, pp. 1743-1763, 1979.
14. T. W. ANDERSON, An Introduction to Multivariate Statistical Analysis. NEW YORK: WILEY, 1958.
15. T. W. ANDERSON, “AN ASYMPTOTIC EXPANSION OF THE DISTRIBUTION OF THE LIMITED INFORMATION MAXIMUM LIKELIHOOD ESTIMATE OF A COEFFICIENT IN A SIMULTANEOUS EQUATION SYSTEM,” J. Amer. Statist. Assoc., vol. 69, pp. 565-573, 1974.
16. T. W.ANDERSON, AND H. RUBIN, “ESTIMATION OF THE PARAMETERS OF A SINGLE EQUATION IN A COMPLETE SYSTEM OF STOCHASTIC EQUATIONS,” Ann. Math. Statist., vol. 20, pp. 46-63, 1949.
17. T. W.ANDERSON, AND H. RUBIN, “THE ASYMPTOTIC PROPERTIES OF ESTIMATES OF THE PARAMETERS OF THE PARAMETERS OF A SINGLE EQUATION IN A COMPLETE SYSTEM OF STOCHASTIC EQUATIONS,” Ann. Math. Statist., vol. 21, pp. 570-582, 1950.
18. W. W. ANDERSON, “OPTIMUM ESTIMATION OF THE MEAN OF A GAUSSIAN RANDOM PROCESS,” Proc. IEEE, vol. 53, pp. 1640-1641, 1965.
19. N. ARONSZAJN, “THEORY OF REPRODUCING KERNELS,” Trans. Amer. Math. Soc., vol. 68, pp. 337-404, 1950.
20. T. AULIN, “A MODIFIED MODEL FOR THE FADING SIGNAL AT A MOBILE RADIO CHANNEL,” IEEE Trans. Vehicular Technology, vol. VT-28, pp. 182-203, 1979.
21. H. BABIC, G. C. TEMES, “OPTIMUM LOW-ORDER WINDOWS FOR DISCRETE FOURIER TRANSFORM SYSTEMS,” IEEE Trans. Accoust., Speech, Signal Processing, vol. ASSP-24, pp. 512-517, 1976.
22. C.T.H. BAKER, et al. “NUMERICAL SOLUTION OF FREDHOLM INTEGRAL EQUATIONS OF THE FIRST KIND,” Comput. J., vol. 7, pp. 141-148, 1964.
23. C.T.H. BAKER, The Numerical Treatment of Integral Equations. NEW YORK: OXFORD UNIV. PRESS, 1977.
24. E. J. BAGHDADY, R. N. LINCOLN, AND B. D. NELIN, “SHORT-TERM FREQUENCY STABILITY: CHARACTERIZATION, THEORY, AND MEASUREMENTS,” Proc. IEEE, vol. 53, pp. 704-722, 1965.
25. T. E. BARNARD, “LEGENDRE POLYNOMIAL EXPRESSIONS FOR THE PROBABILITY DENSITY FUNCTION OF MAGNITUDE-SQUARED COHERENCE ESTIMATES,” IEEE Trans. Accoust., Speech, Signal Processing, vol. ASSP-29, pp. 107-108, 1986.
26. C. W. BARNES, “OBJECT RESTORATION IN A DIFFRACTION-LIMITED IMAGING SYSTEM,” J. Opt. Soc. Amer., vol. 56, pp. 575-578, 1966.
27. Y. BAR-SHALOM, “ON THE ASYMPTOTIC PROPERTIES OF THE MAXIMUM LIKELIHOOD ESTIMATE OBTAINED FROM DEPENDENT OBSERVATIONS,” J. Roy. Statist. Soc., vol. B-33, pp. 72-77, 1971.
28. M. S. BARTLETT, “ON THE THEORETICAL SPECIFICATION AND SAMPLING PROPERTIES OF AUTOCORRELATED TIME SERIES,” J. Roy. Statist. Soc. Suppl., vol. 8, PT. 1, pp. 27-41, 1946.
29. M. S. BARTLETT, “PERIODOGRAM ANALYSIS AND CONTINUOUS SPECTRA,” Biometrika, vol. 37, pp. 1-16, 1950.
30. M. S. BARTLETT, “SOME REMARKS ON THE ANALYSIS OF TIME SERIES,” Biometrika,VOL. 54, pp. 25-38, 1967.
31. M. BATH, Spectral Analysis in Geophysics. AMSTERDAM, THE NETHERLANDS: ELSEVIER, 1974.
32. T. BERGER, RATE Distortion Theory. ENGLEWOOD CLIFFS, NJ: PRENTICE-HALL, 1971.
33. K. N. BERK, “CONSISTENT AUTOREGRESSIVE SPECTRAL ESTIMATES,” Ann. Statist., vol. 2, pp. 489-502, 1974.
34. M. BERTERO, C. DE MOL, AND G. A. VIANO, “ON THE PROBLEMS OF OBJECT RESTORATION AND IMAGE EXTRAPOLATING IN OPTICS,” J. Math. Phys.,vol. 20, pp. 509-521, 1979.
35. M. BERTERO, C. DE MOL, AND G. A. VIANO, “RESOLUTION BEYOND THE DIFFRACTION LIMIT FOR REGULARIZED OBJECT RESTORATION,” Optica Acta, vol. 27, pp. 307-320, 1980.
36. M. BERTRAN-SALVANS AND V. CASARES-GINER, “ON BAND-PASS ENERGY CONCENTRATION FOR FINITE DURATION SEQUENCES,” IN Signal Processing: Theories and Applications, M. KUNT AND F. DE COULON, EDS. AMSTERDAM, THE NETHERLANDS: NORTH-HOLLAND, 1980, pp. 181-186.
37. R. J. BHANSALI, “A MONTE CARLO COMPARISON OF THE REGRESSION METHOD AND THE SPECTRAL METHODS OF PREDICTION,” J. Amer. Statist. ASSOC., vol. 68, pp. 621-625, 1973.
38. R. J. BHANSALI, “ASYMPTOTIC PROPERTIES OF THE WIENER-KOLMOGOROV PREDICTOR,”. J. Roy. Statist. Soc., pp. 61-73, 1974.
39. F. W. BIEGLER-KONIG, “SUFFICIENT CONDITIONS FOR THE SOLUBILITY OF INVERSE EIGENVALUE PROBLEMS,” Linear Algebra Appl., vol. 40, pp. 89-100, 1981.
40. C. BINGHAM, M. D. GODFREY, AND J. W. TUKEY, “MODERN TECHNIQUES OF POWER SPECTRUM ESTIMATION,” IEEE Trans. Audio Electroacoust., vol. AU-1S, pp. 56-67, 1967.
41. R. B. BLACKMAN, AND J. W. TUKEY, “THE MEASUREMENT OF POWER SPECTRA,” BellSyst Tech. J., vol. 37 (REPRINTED BY DOVER).
42. A. BLOMQVIST, “FIGURES OF MERIT OF WINDOWS FOR POWER SPECTRUM ESTIMATION WITH THE DFT,” Proc. IEEE, vol. 67, pp. 438-439, 1979.
43. P. BLOOMFIELD, Fourier Analysis of Time Series: An lntroduction. NEW YORK: WILEY, 1976.
44. E. K. BLUM, Numerical Analysis and Computation: Theory and Practice. READING, MA: ADDISON-WESLEY, 1972.
45. L. E. BLUMENSON, AND K. S. MILLER, “PROPERTIES OF GENERALIZED RAYLEIGH DISTRIBUTIONS,” Ann. Math. Statist., vol. 34, pp. 903910, 1963.
46. R. P. BOGERT, M. J. HEALY, AND J. W. TUKEY, “THE FREQUENCY ANALYSIS OF TIME SERIES FOR ECHOES: CEPSTRUM, PSEUDO-AUTOCOVARIANCE, CROSS-CEPSTRUM, AND SAPHE CRACKING,” IN Time Series Analysis, M. ROSENBLATT, ED. NEW YORK: WILEY, 1962, pp. 209-243.
47. E. BOILEAU AND B. PICINBONO, “STATISTICAL STUDY OF PHASE FLUCTUATIONS AND OSCILLATOR STABILITY,” IEEE Trans. Instrum. Meas., vol. IM-25, pp. 66-75, 1976.
48. B. A. BOLT AND D. R. BRILLINGER, “ESTIMATION OF UNCERTAINTIES IN EIGENSPECTRAL ESTIMATES FROM DECAYING GEOPHYSICAL TIME SERIES,” Geophys. J. Roy. Astr. Soc., vol. 59, pp. 593-603, 1979.
49. C. DE BOOR, “PACKAGE FOR CALCULATING WITH B-SPLINES,” SIAM J. Numer. Analysis,vol. 14, pp. 441-472, 1977.
50. G.E.P. BOX, “A GENERAL DISTRIBUTION THEORY FOR A CLASS OF LIKELIHOOD CRITERIA,” Biometrika, vol. 36, pp. 317-346, 1949.
51. G.E.P. BOX AND G. M. JENKINS, Time Series Analysis Forecasting and Control. SAN FRANCISCO: HOLDEN-DAY, 1970.
52. D. R. BRILLINGER, “AN INTRODUCTION TO POLY SPECTRA,” Ann. Math. Statist., vol. 36, pp. 1351-1374, 1965.
53. D. R. BRILLINGER, “COMPUTATION AND INTERPRETATION OF K-TH ORDER SPECTRA,” Spectral Analysis of Time Series, B. HARRIS, ED. NEW YORK: WILEY, 1967, pp. 81-108.
54. D. R. BRILLINGER, “ASYMPTOTIC PROPERTIES OF SPECTRAL ESTIMATES OF SECOND ORDER,” Biometrika, vol. 56, pp. 375-390, 1969.
55. D. R. BRILLINGER, “THE FREQUENCY ANALYSIS OF RELATIONS BETWEEN STATIONARY SPATIAL SERIES,” Proc. 12th Biennial Sem. Canadian Math. Congress, R. PYKE, ED. (CANADIAN MATH. CONGRESS, MONTREAL) pp. 3981, 1970.
56. D. R. BRILLINGER, “FOURIER ANALYSIS OF STATIONARY PROCESSES,” Proc. IEEE, vol.62, pp. 1628-1643, 1974.
57. D. R. BRILLINGER, Time Series, Data Analysis and Theory. NEW YORK: HOLT, RINEHART AND WINSTON, 1975.
58. D. R. BRILLINGER, “THE KEY ROLE OF TAPERING IN SPECTRUM ESTIMATION,” IEEE Trans. Acoust, Speech, Signal Processing, vol. ASSP-29, pp. 1075-1076, 1981.
59. D. R. BRILLINGER AND M. ROSENBLATT, “ASYMPTOTIC THEORY OF ESTIMATES OF K-TH ORDER SPECTRA,” IN Spectral Analysis of Time Series, B. HARRIS, ED. NEW YORK: WILEY, 1967, pp. 81-108.
60. W. S. BROWN, ALTRAN User's Manual. MURRAY HILL, NJ: BELL LABORATORIES (AVAILABLE THROUGH AT&T PATENT LICENSING, GREENSBORO, NC), 1977.
61. G. J. BUCK, “RADAR MAPPING: PROLATE SPHEROIDAL WAVE FUNCTIONS VERSUS TRUNCATED INVERSE FOURIER TRANSFORM,” IEEE Trans. Antennas Propagat., vol. AP-20, pp. 188-193, 1972.
62. J. P. BURG, “THE RELATIONSHIP BETWEEN MAXIMUM ENTROPY SPECTRA AND MAXIMUM LIKELIHOOD SPECTRA,” Geophysics, vol. 37, pp. 375376, 1972.
63. J. P. BUTLER, J. A. REEDS, AND S. V. DAWSON, “ESTIMATING SOLUTIONS OF FIRST KIND INTEGRAL EQUATIONS WITH NONNEGATIVE CONSTRAINTS AND OPTIMAL SMOOTHING,” SIAM J. Numer. Anal., vol. 18, pp. 381-397, 1981.
64. J. A. CADZOW, “AN EXTRAPOLATION PROCEDURE FOR BAND-LIMITED SIGNALS,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-27, pp. 4-12, 1979.
65. J. CAPON, “HIGH-RESOLUTION FREQUENCY-WAVENUMBER SPECTRUM ANALYSIS,” Proc. IEEE, vol. 57, pp. 1408-1418, 1969.
66. J. CAPON, “MAXIMUM-LIKELIHOOD SPECTRAL ESTIMATION,” IN Nonlinear Methods of Spectral Analysis, S. HAYKIN, ED. NEW YORK: SPRINGER-VERLAG, 1979, pp. 155-180.
67. G. C. CARTER, “STATISTICS OF THE ESTIMATE OF COHERENCE,” Proc. IEEE, vol. 60, pp. 465-466, 1972.
68. G. C. CARTER, “BIAS IN MAGNITUDE-SQUARED COHERENCE ESTIMATION DUE TO MISALIGNMENT,” IEEE Trans. Acoust, Speech, Signal Processing, vol. ASSP-28, pp. 97-99, 1980.
69. G. C. CARTER, C. H. KNAPP, AND A. H. NUTTALL, “ESTIMATION OF THE MAGNITUDE-SQUARED COHERENCE FUNCTION VIA OVERLAPPED FAST FOURIER TRANSFORM PROCESSING,” IEEE Trans. Audio Electro-acoust., vol. AU-21, pp. 337-344, 1973.
70. G. C. CARTER, C. H. KNAPP, AND A. H. NUTTALL, “STATISTICS OF THE ESTIMATE OF THE MAGNITUDE-COHERENCE FUNCTION,” IEEE Trans. Audio Electroacoust., vol. AU-21, pp. 388-389, 1973.
71. G. C. CARTER AND A. H. NUTTALL, “EVALUATION OF THE STATISTICS OF THE ESTIMATE OF MAGNITUDE-SQUARED COHERENCE,” NUSC TECH. MEMO. TC-193-71, 1971.
72. G. C. CARTER AND A. H. NUTTALL, “ON THE WEIGHTED OVERLAPPED SEGMENT AVERAGING METHOD FOR POWER SPECTRUM ESTIMATION,” Proc. IEEE, vol. 68, pp. 13521354, 1980.
73. W. Y. CHEN AND G. R. STEGEN, “EXPERIMENTS WITH MAXIMUM ENTROPY POWER SPECTRA OF SINUSOIDS,” J. Geophys. Res., vol. 79, pp. 3019-3022, 1974.
74. D. G. CHILDERS, Modem Spectrum Analysis. NEW YORK: IEEE PRESS, 1978.
75. D. G. CHILDERS, J. I. AUNON, AND C. D.MCGILLEM, “SPECTRAL ANALYSIS: PREDICTION AND EXTRAPOLATION,” IN Critical Reviews in Bioengineering, vol. 6, ISSUE 2. BOCA RATON, FL: CRC PRESS, 1981, pp. 133-175.
76. D. G. CHILDERS AND M.-T. PAO, “COMPLEX DEMODULATION FOR TRANSIENT WAVELET DETECTION AND EXTRACTION,” IEEE Trans. Audio Electroacoust., vol. AU-20, pp. 295-308, 1972.
77. R. H. CLARKE, “A STATISTICAL THEORY OF MOBILE-RADIO RECEPTION,” Bell Syst. Tech. J., vol. 47, pp. 957-1000, 1968.
78. W. S. CLEVELAND AND E. PARZEN, “THE ESTIMATION OF COHERENCE, FREQUENCY RESPONSE, AND ENVELOPE DELAY,” Technometrics, vol. 17, pp. 167-172, 1975.
79. J. W. COOLEY, AND J. W. TUKEY, “AN ALGORITHM FOR THE MACHINE CALCULATION OF COMPLEX FOURIER SERIES,” Math. Comp., vol. 19, pp. 297-301, 1965.
80. J. W. COOLEY, P.A.W. LEWIS, AND P. D. WELCH, The Application of the Fast Fourier Transform Algorithm to the Estimation of Spectra and Cross-Spectra, COMPUTER PROCESSING IN COMMUNICATIONS, POLYTECHNIC INSTITUTE OF BROOKLYN MICROWAVE RESEARCH INSTITUTE SYMP. SER., vol. 19, pp. 5-20, 1969.
81. D. R. COX AND D. V. HINKLEY, Theoretical Statistics. LONDON, ENGLAND: CHAPMAN & HALL, 1979.
82. H. CRAMER, “ON THE THEORY OF STATIONARY RANDOM PROCESSES,” Ann. Math., vol. 41, pp. 215-230, 1940.
83. H. CRAMER, Mathematical Methods of Statistics. PRINCETON, NJ: PRINCETON UNIV. PRESS, 1946.
84. R. E. CROCHIERE, “A WEIGHTED OVERLAP-ADD METHOD OF SHORT-TIME FOURIER ANALYSIS/SYNTHESIS,” IEEE Trans Accoust, Speech, Signal Processing,vol. ASSP-28, pp. 99-102, 1980.
85. H. B. CURRY AND I. J. SCHOENBERG, “ON PóLYA FREQUENCY FUNCTIONS IV; THE FUNDAMENTAL SPLINE FUNCTIONS AND THEIR LIMITS,” J. Analyse Math., vol. 17, pp. 71-107, 1966.
86. G. DAHLQUIST, A. Björck, AND N. ANDERSON, Numerical Methods. ENGLEWOOD CLIFFS, NJ: PRENTICE-HALL, 1974.
87. H. E. DANIELS, “THE ESTIMATION OF SPECTRAL DENSITIES,” J. Roy. Statist. Soc., vol. B-24, pp. 185-198, 1962.
88. J. N. DARROCH, “AN OPTIMAL PROPERTY OF PRINCIPAL COMPONENTS,” Ann. Math. Statist., vol. 36, pp. 1579-1582, 1965.
89. A. R. DAVIES, T. COCHRANE, AND O. M. AL-FAOUR, “THE NUMERICAL INVERSION OF TRUNCATED AUTOCORRELATION FUNCTIONS,” Opt. Acta, vol. 27, pp. 107-118, 1980.
90. H. T. DAVIS AND R. H. JONES, “ESTIMATION OF THE INNOVATIONS VARIANCE OF A STATIONARY TIME SERIES,” J. Amer. Statist. Assoc., vol. 63, pp. 141-149, 1968.
91. YU. M. DAVYDOV, “MOMENTS OF THE BIVARIATE ENVELOPE DISTRIBUTION,” Radio Eng., vol. 25, no. 12, pp. 77-81, 1970.
92. L. M. DELVES AND J. WALSH, EDS., Numerical Solution of Integral Equations. NEW YORK: OXFORD UNIV. PRESS, 1974.
93. A. M. DESPAIN, AND J. W. BELL, “INCREASED SPECTRAL RESOLUTION FROM FIXED LENGTH INTERFEROGRAMS,” Aspen Int. Conf. on Fourier Spectroscopy, 1970, G. A VANASSE, A. T. STAIR, AND D. J. BAKER, EDS., TECH. REP. AFCRL-71-0019, pp. 397-406, 1970.
94. E. L. DODD, “THE LENGTH OF THE CYCLES WHICH RESULT FROM THE GRADUATION OF CHANCE ELEMENTS,” Ann. Math. Statist., vol. 10, pp. 254-264, 1939.
95. J. L. DOOB, Stochastic Processes. NEW YORK: WILEY, 1953.
96. V. DOSE, AND H. SCHEIDT, “DECONVOLUTION OF APPEARANCE POTENTIAL SPECTRA,” Appl. Phys.,vol. 19, pp. 19-23, 1979.
97. V. DOSE AND TH. FAUSTER, “DECONVOLUTION OF APPEARANCE POTENTIAL SPECTRA II,” Appl. Phys., vol. 20, pp. 299-303, 1979.
98. S. C. DUTTA ROY AND A. AGRAWAL, “DIGITAL LOW-PASS FILTERING USING THE DISCRETE HILBERT TRANSFORM,” IEEE Trans. Accoust., Speech, Signal Processing, vol. ASSP-26, pp. 465-467, 1978.
99. H. DYM AND H. P. MCKEAN, Gaussian Processes, Function Theory, and the Inverse Spectral Problem. NEW YORK: ACADEMIC PRESS, 1976.
100. K. O. DZHAPARIDZE, “ESTIMATION OF PARAMETERS OF A SPECTRAL DENSITY WITH FIXED ZEROES,” Theory Prob. and Appl., vol. XXII, pp. 708-729, 1977.
101. K. O. DZHAPARIDZE AND A. M. YAGLOM, “ASYMTOTICALLY EFFICIENT ESTIMATION OF THE SPECTRUM PARAMETERS OF STATIONARY STOCHASTIC PROCESSES,” IN Proc. Prague Symp. on Asymptotic Statistics, vol. 1. PRAGUE, CZECHOSLAVAKIA: CHARLES UNIV. PRESS, 1974.
102. K. O. DZHAPARIDZE AND A. M. YAGLOM, “APPLICATIONS OF A MODIFIED“SCORING METHOD” OF FISHER TO THE ESTIMATION OF SPECTRAL PARAMETERS OF RANDOM PROCESSES,” Sov. Math-Dokl., vol. 15, pp. 1077-1082, 1974.
103. A. EBERHARD, “AN OPTIMAL DISCRETE WINDOW FOR THE CALCULATION OF POWER SPECTRA,” IEEE Trans. Audio Electroacoust., vol. AU-21, pp. 37-43, 1973.
104. B. EFRON, “COMPUTERS AND THE THEORY OF STATISTICS: THINKING THE UNTHINKABLE,” SIAM Rev., vol. 21, pp. 460-480, 1979.
105. M. F. EGERTON AND P. J. LAYCOCK, “SOME CRITICISMS OF STOCHASTIC SHRINKAGE AND RIDGE REGRESSION, WITH COUNTEREXAMPLES,” Technometrics, vol. 23, pp. 155-159, 1981.
106. M. P. EKSTROM, “A SPECTRAL CHARACTERIZATION OF ILL-CONDITIONING IN NUMERICAL DECONVOLUTION,” IEEE Trans. Audio Electroacoust., vol. AU-21, pp. 344-348, 1973.
107. R. H. FARRELL, “ASYMPTOTIC LOWER BOUNDS FOR THE RISK OF ESTIMATORS OF THE VALUE OF A SPECTRAL DENSITY FUNCTION,” Z. Wahrschein-lichkeitstheorie Verw., vol. 49, pp. 221-234, 1979.
108. J. L. FIELDS, “RATIONAL APPROXIMATIONS TO GENERALIZED HYPERGEO-METRIC FUNCTIONS,” Math. Comp., vol. 19, pp. 606-624, 1965.
109. R. A. FISHER, “TESTS OF SIGNIFICANCE IN HARMONIC ANALYSIS,” Proc. Roy. Soc. London, vol. 125 A, pp. 54-59, 1929.
110. R. A. FISHER, “ON THE SIMILARITY OF THE DISTRIBUTIONS FOUND FOR THE TEST OF SIGNIFICANCE IN HARMONIC ANALYSIS AND IN STEVEN'S PROBLEM IN GEOMETRICAL PROBABILITY, Ann. Eugen., vol. 10, pp. 14-17, 1940.
111. R. A. FISHER, Statistical Methods and Scientific Inference, 3RD. ED. NEW YORK: HAFNER, 1973.
112. R. A. FISHER, Statistical Methods for Research Workers, 14TH ED. NEW YORK: HAFNER, 1973.
113. R. FITZGERALD, “EXTRAPOLATION OF BAND-LIMITED SIGNALS: A TUTORIAL,” Signal Processing: Theories and Applications, M. KUNT AND F. DE COULON, EDS. AMSTERDAM, THE NETHERLANDS: NORTH-HOLLAND, 1980, pp. 175-180.
114. C. FLAMMER, Spheroidal Wave Functions. STANFORD, CA: STANFORD UNIV. PRESS, 1967.
115. P. FOX, ED., PORT Mathematical Subroutine Library. MURRAY HILL, NJ: BELL TELEPHONE LABORATORIES, 1977 (AVAILABLE THROUGH AT&T PATENT LICENSING, GREENSBORO, NC).
116. J. N. FRANKLIN, “ON TIKHONOV'S METHOD FOR ILL-POSED PROBLEMS,” Math. Comp., vol. 28, pp. 889-907, 1974.
117. B. R. FRIEDEN, “BAND-UNLIMITED RECONSTRUCTION OF OPTICAL OBJECTS AND SPECTRA,” J. Opt. Soc. Amer., vol. 57, pp. 1013-1019, 1967.
118. M. J. GANS., “A POWER-SPECTRAL THEORY OF PROPAGATION IN THE MOBILE RADIO ENVIRONMENT,” IEEE Trans. Vehicular Technology, vol. VT-20, P. 27, 1972.
119. B. S. GARBOW, J. M. BOYLE, J. J. DONGARRA, AND C. B. MOLER, “MATRIX EIGENSYSTEM ROUTINES—EISPACK GUIDE EXTENSION,” LECTURE NOTES IN COMPUTER SCIENCE no. 51. NEW YORK: SPRINGER, 1977.
120. N. C. GEÇKINLI, “POWER SPECTRA ESTIMATION USING DISCRETE FOURIER TRANSFORM,” IN Signal Processing: Theories and Applications, M. KUNT AND F. DE COULON, EDS. AMSTERDAM, THE NETHERLANDS: NORTH-HOLLAND, 1980, 567-575.
121. N. C. GEÇKINLI AND D. YAVUZ, “SOME NOVEL WINDOWS AND A CONCISE TUTORIAL COMPARISON OF WINDOW FAMILIES,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-26, pp. 501-507, 1978.
122. R. W. GERCHBERG, “SUPERRESOLUTION THROUGH ERROR ENERGY REDUCTION,” Opt. Acta, vol. 21, pp. 709-720, 1974.
123. J. GEWEKE, “A COMPARISON OF TESTS OF THE INDEPENDENCE OF TWO COVARIANCE-STATIONARY TIME SERIES,” J. Amer. Statist Assoc., vol. 76, pp. 363-373, 1981.
124. I. C. GOHBERG AND I. FEL'DMAN, Convolution Equations and Projection Methods for their Solution. NEW YORK: AMER. MATH. SOC., 1974.
125. N. R. GOODMAN, “ON THE JOINT ESTIMATION OF THE SPECTRA, COSPECTRUM OF A TWO-DIMENSIONAL STATIONARY GAUSSIAN PROCESS,” SCIENTIFIC PAPER no. 10, COLLEGE OF ENG., NEW YORK UNIV., ASTIA DOC. AD-134919.
126. N. R. GOODMAN, “MEASURING AMPLITUDE AND PHASE,” J. Franklin Inst., vol. 270, pp. 437-450, 1960.
127. N. R. GOODMAN, “SPECTRAL ANALYSIS OF MULTIPLE TIME SERIES,” Proc. Symp. on Time Series Analysis, M. ROSENBLATT, ED. NEW YORK: WILEY, 1962, pp. 260-266.
128. N. R. GOODMAN, “STATISTICAL ANALYSIS BASED ON A CERTAIN MULTIVARIATE COMPLEX GAUSSIAN DISTRIBUTION (AN INTRODUCTION),” Ann. Math. Statist., vol. 34, pp. 152-177, 1963.
129. F. GORI, AND C. PALMA, “ON THE EIGENVALUES OF sine2 Kernel,” J. Phys. A: Math. Gen., vol. 8, pp. 1709-1719, 1975.
130. A. H. GRAY, JR. AND J. D. MARKEL, “DISTANCE MEASURES FOR SPEECH PROCESSING,” IEEE Trans. Acoust., Speech, Signal Processing, ASSP-24, pp. 380-391, 1976.
131. R. M. GRAY, “SLIDING-BLOCK SOURCE CODING,” IEEE Trans. Informai. Theory, vol. IT-21, pp. 357-368, 1975.
132. R. M. GRAY, D. L._NEUHOFF, AND P. C. SHIELDS, “A GENERALIZATION OF ORNSTEIN'S D DISTANCE WITH APPLICATIONS TO INFORMATION THEORY,” Ann. Prob., vol. 3, pp. 315-328, 1975.
133. R. M. GRAY, A. BUZO, A. H. GRAY, JR., AND Y. MATSUYAMA, “DISTORTION MEASURES FOR SPEECH PROCESSING,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-28, pp. 367-376, 1980.
134. R. M GRAY, A. H. GRAY, JR., G. REBOLLEDO, AND J. E. SHORE, “RATE-DISTORTION SPEECH CODING WITH A MINIMUM DISCRIMINATION INFORMATION DISTORTION MEASURE,” IEEE Trans. Informat. Theory, vol. IT-27, pp. 708-721, 1981.
135. U. GRENANDER, H. O. POLLAK, AND D. SLEPIAN, “THE DISTRIBUTION OF QUADRIATIC FORMS IN NORMAL VARIATES: A SMALL SAMPLE THEORY WITH APPLICATIONS TO SPECTRAL ANALYSIS,” J. SIAM vol. 7, pp. 374-401, 1959.
136. U. GRENANDER AND M. ROSENBLATT, “AN EXTENSION OF A THEOREM OF G. SZEGÖ AND ITS APPLICATION TO THE STUDY OF STOCHASTIC PROCESSES,” Trans. Amer. Math. Soc., vol. 76, pp. 112-126, 1954.
137. U. GRENANDER AND M. ROSENBLATT, Statistical A nalysis of Stationary Time Series. NEW YORK: WILEY, 1957.
138. U. GRENANDER AND G. SZEGÖ, Toeplitz Forms and Their Applications. LOS ANGELES, CA: UNIV. CAL. PRESS, 1958.
139. C. GUMACOS, “ON THE OPTIMUM ESTIMATION OF THE SPECTRA OF CERTAIN DISCRETE STOCHASTIC PROCESSES,” IEEE Trans. Informat. Theory, vol. IT-13, pp. 298-304, 1967.
140. P. R. GUTOWSKI, E. A. ROBINSON, AND S. TRIETEL, “SPECTRAL ESTIMATION: FACT OR FICTION,” IEEE Trans. Geosci Electron., vol. GE-16, pp. 80-84, 1978.
141. J. HADAMARD, Lectures on Cauchy's Problem in Linear Partial Differential Equations. NEW HAVEN, CT: YALE UNIV. PRESS, 1923.
142. P. H. HALPERN, “OPTIMUM FINITE DURATION NYQUIST SIGNALS,” IEEE Trans. Commun., vol. COM-27, pp. 884-888, 1979.
143. E. J. HANNAN, Multiple Time Series. NEW YORK: WILEY, 1970.
144. E. J. HANNAN, “NON-LINEAR TIME SERIES REGRESSION,” J. Appl. Prob., vol. 8, pp. 767-780, 1971.
145. E. J. HANNAN, “THE ESTIMATION OF FREQUENCY,” J. Appl. Prob., vol. 10, pp. 510-519, 1973.
146. E. J. HANNAN AND P. J. THOMSON, “SPECTRAL INFERENCE OVER NARROW BANDS,” J. Appl. Prob., vol. 8, pp. 157-169, 1971.
147. E. J. HANNAN AND P. J. THOMSON, “THE ESTIMATION OF COHERENCE AND GROUP DELAY,” Biometrika,VOL. 58, pp. 469-481, 1971.
148. E. J. HANNAN AND P. J. THOMSON, “ESTIMATING GROUP DELAY,” Biometrika, vol. 60, pp. 241-253, 1973.
149. R. J. HANSON, “A NUMERICAL METHOD FOR SOLVING FREDHOLM INTEGRAL EQUATIONS OF THE FIRST KIND USING SINGULAR VALUES,” SIAM J. Numer. Anal., vol. 8, pp. 616-622, 1971.
150. R. F. HARRINGTON, Field Computation by Moment Methods. NEW YORK: MACMILLAN, 1968.
151. B. HARRIS, ED., Spectral Analysis of Time Series. NEW YORK: WILEY, 1967.
152. F. J. HARRIS, “HIGH-RESOLUTION SPECTRAL ANALYSIS WITH ARBITRARY SPECTRAL CENTERS AND ARBITRARY SPECTRAL RESOLUTIONS,” Comput. Elect. Eng., vol. 3, pp. 171-191, 1976.
153. F. J. HARRIS, “ON THE USE OF WINDOWS FOR HARMONIC ANALYSIS WITH THE DISCRETE FOURIER TRANSFORM,” Proc. IEEE, vol. 66, pp. 51-83, 1978.
154. J. L. HARRIS, “DIFFRACTION AND RESOLVING POWER,” J. Opt. Soc. Amer., vol. 54, pp. 931-936, 1964.
155. S. HAYKIN, Nonlinear Methods of Spectral Analysis. NEWYORK: SPRINGER, 1979.
156. J. R. Higgins, Completeness and Basis Properties of Sets of Special Functions. NEW YORK: CAMBRIDGE UNIV. PRESS, 1977.
157. I.I. HIRSCHMAN, JR., “RECENT DEVELOPMENTS IN THE THEORY OF FINITE TOEPLITZ OPERATORS,” Adv. Prob. and Related Topics, vol. 1, pp. 103-167, 1971.
158. I.I. HIRSCHMAN, JR., “ON THE EIGENVALUES OF CERTAIN INTEGRAL OPERATORS,” SIAM J. Math. Anal., vol. 6, pp. 1024-1050, 1975.
159. I. I. HIRSCHMAN AND D. V. WIDDER, The Convolution Transform. PRINCETON, NJ: PRINCETON UNIV. PRESS, 1955.
160. W. S. HODGKISS AND J. A. PRESLEY, “ADAPTIVE TRACKING OF MULTIPLE SINUSOIDS WHOSE POWER LEVELS ARE WIDELY SEPARATED,” IEEE Trans. Circuits Syst., vol. CAS-28, pp. 550-561, 1981.
161. H. HOTELLING, “RELATIONS BETWEEN TWO SETS OF VARIABLES,” Biometrika, vol. 28, pp. 321-377, 1936.
162. P. J. HUBER, “ROBUST STATISTICS: A REVIEW,” Ann. Math. Statist., vol. 43, pp. 1041-1067, 1972.
163. I. A. IBRAGIMOV, “ON ESTIMATION OF THE SPECTRAL FUNCTION OF A STATIONARY GAUSSIAN PROCESS,” Theory Prob. AppL, vol. VIII, pp. 366-401, 1963.
164. I. S. IBRAMHALILOV, “AN ESTIMATOR OF THE SPECTRAL DENSITY OF A STATIONARY GAUSSIAN PROCESS,” Theory Prob. Math. Statist., vol. 17, pp. 87-94, 1979.
165. E. ISAACSON AND H. B. KELLER, Analysis of Numerical Methods. NEW YORK: WILEY, 1966.
166. F. ITAKURA, “MINIMUM PREDICTION RESIDUAL PRINCIPLE APPLIED TO SPEECH RECOGNITION,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-23, pp. 67-72, 1975.
167. F. ITAKURA AND S. SAITO, “A STATISTICAL METHOD FOR ESTIMATION OF SPEECH SPECTRAL DENSITY AND FORMANT FREQUENCIES,” Electr. Commun. Japan, vol. 5 3-A, no. 1, pp. 36-43, 1970.
168. G. M. JENKINS AND D. G. WATTS, Spectral Analysis and its Applications. SAN FRANCISCO, CA: HOLDEN-DAY, 1968.
169. F. JOHN, “CONTINUOUS DEPENDENCE ON DATA FOR SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS WITH A PRESCRIBED BOUND,” Comm. Pure Appl. Math., vol. XIII, pp. 551-585, 1960.
170. R. JOHNSON AND J. SHORE, “MINIMUM-CROSS-ENTROPY SPECTRAL ANALYSIS OF MULTIPLE SIGNALS,” NAVAL RESEARCH LAB. MEMO. 4492, APR. 7, 1981.
171. A. F. JONES, AND D. L. MISELL, “THE PROBLEM OF ERROR IN DECONVOLUTION,” J. Phys. A: Gen. Phys., vol. 3, pp. 462-472, 1970.
172. R. H. JONES, “SPECTRAL ESTIMATES AND THEIR DISTRIBUTIONS,” Skandinavisk Aktuatietidskrift, vol. 45, pp. 39-69, 135-153, 1962.
173. R. H. JONES, “A REAPPRAISAL OF THE PERIODOGRAM IN SPECTRAL ANALYSIS,” Technometrics, vol. 7, pp. 531-542, 1965.
174. R. H. JONES, “PHASE FREE ESTIMATION OF COHERENCE, Ann. Math. Statist.,VOL. 40, pp. 510-518, 1969.
175. R. H. JONES, “ESTIMATION OF THE INNOVATION GENERALIZED VARIANCE OF A MULTIVARIATE STATIONARY TIME SERIES,” J. Amer. Statist Assoc., vol. 71, pp. 386-388, 1976.
176. T. T. KADOTA, “SIMULTANEOUS ORTHOGONAL EXPANSION OF TWO STATIONARY GAUSSIAN PROCESSES-EXAMPLES,” Bell Sys. Tech J., vol. 46, pp. 1071-1096, 1966.
177. T. T. KADOTA AND L. A. SHEPP, “ON THE BEST FINITE SET OF LINEAR OBSERVABLES FOR DISCRIMINATING TWO GAUSSIAN SIGNALS,” IEEE Trans. Informat. Theory, vol. IT-13, pp. 278-284, 1967.
178. T. KAILATH, “AN INNOVATIONS APPROACH TO LEAST-SQUARES ESTIMATION-PART 1: LINEAR FILTERING IN ADDITIVE WHITE NOISE,” IEEE Trans Automat. Contr., vol. AC-13, pp. 645-655, 1968.
179. T. KAILATH, “THE DIVERGENCE AND BHATTACHARYYA DISTANCE MEASURES IN SIGNAL SELECTION,” IEEE Trans. Commun., vol. COM-15, pp. 52-60, 1967.
180. T. KAILATH, “A VIEW OF THREE DECADES OF LINEAR FILTERING THEORY,” IEEE Trans. Informat. Theory, vol. IT-20, pp. 146-180, 1974.
181. T. KAILATH AND P. FROST, “AN INNOVATIONS APPROACH TO LEAST-SQUARES ESTIMATION—PARTII: LINEAR SMOOTHING IN ADDITIVE WHITE NOISE,” IEEE Trans. Automat. Contr., vol. AC-13, pp. 655-660, 1968.
182. J. F. KAISER, “NONRECURSIVE DIGITAL FILTER DESIGN USING THE I0 - SINH WINDOW FUNCTION,” IN IEEE Inter. Symp. Circuits Syst. Proc., pp. 20-23.
183. T. KANEKO AND P. LIU, “ACCUMULATION OF ROUND-OFF ERROR IN FAST FOURIER TRANSFORMS,” J. Assoc. Comput. Mach., vol. 17, pp. 637654, 1970.
184. J. K. KAUPPINEN, D. J. MOFFATT, D. G. CAMERON, AND H. H. MANTSCH, “NOISE IN FOURIER SELF-DECONVOLUTION,” Appl. Opt., vol. 20, pp. 1866-1879, 1981.
185. S. M. KAY, AND S. L. MARPLE, JR., “SPECTRUM ANALYSIS-A MODERN PERSPECTIVE,” Proc. IEEE, vol. 69, pp. 1380-1419, 1981.
186. R. B. KELMAN AND R. P. FEINERMAN, “DUAL ORTHOGONAL SERIES,” SIAM J. Math. Anal., vol. 5, pp. 489-502, 1974.
187. M. G. KENDALL AND A. STUART, The Advanced Theory of Statistics, Vol. I-III. NEW YORK: HAFNER, 1963.
188. C. G. KHATRI, “CLASSICAL STATISTICAL ANALYSIS BASED ON A CERTAIN MULTIVARIATE COMPLEX GAUSSIAN DISTRIBUTION,” Ann. Math. Statist.,VOL. 36, pp. 98-114, 1965.
189. J. L. KINSEY AND R. D. LEVINE, “A PERFORMANCE CRITERION FOR INFORMATION THEORETIC DATA ANALYSIS,” Chem. Phys. Lett., vol. 65, pp. 413-416, 1979.
190. B. KLEINER, R. D. MARTIN, AND D. J. THOMSON, “THREE APPROACHES TOWARDS MAKING POWER SPECTRA LESS VULNERABLE TO OUTLIERS,” Buss. Econ. Statist. Sect. Proc, Amer. Statist. Assoc., pp. 386-391, 1976.
191. B. KLEINER, R. D. MARTIN, AND D. J. THOMSON, “ROBUST ESTIMATES OF SPECTRA (WITH DISCUSSION),” J. Roy. Statist. Soc., vol. B-41, pp. 313-351, 1979.
192. G. KOLEY NI AND F. INGELS, “WINDOWED SINUSOIDAL WAVEFORMS ANALYSIS USING THE SHORT TIME AVERAGED CEPSTRUM,” IN Proc. Southeast-con., pp. 379-383, 1981.
193. A. N. KOLMOGOROV, “STATIONARY SEQUENCES IN HILBERT SPACE,” Bull Math. Moscow Univ., vol. 2, no. 6, pp. 1-40 (TRANSLATION), 1941.
194. L. H. KOOPMANS, “ON THE COEFFICIENT OF COHERENCE FOR WEAKLY STATIONARY STOCHASTIC PROCESSES” Ann. Math. Statist., vol. 35, pp. 532-549, 1964.
195. L. H. KOOPMANS, “ON THE MULTIVARIATE ANALYSIS OF WEAKLY STATIONARY STOCHASTIC PROCESSES,” Ann. Math. Statist., vol. 35, pp. 1765-1780, 1964.
196. L. H. KOOPMANS, The Spectral Analysis of Time Series. NEW YORK: ACADEMIC PRESS, 1974.
197. S. KULLBACH, Information Theory and Statistics. NEW YORK: WILEY, 1959.
198. R. W. KULP, “AN OPTIMAL SAMPLING PROCEDURE FOR USE WITH THE PRONY METHOD,” IEEE Trans. Electromag. Comput., vol. EMC-23, pp. 67-71, 1981.
199. R. KUMARESAN AND D. W. TUFTS, “IMPROVED SPECTRAL RESOLUTION III: EFFICIENT REALIZATION,” Proc. IEEE, vol. 68, pp. 1354-1355, 1980.
200. R. KUMARESAN AND D. W. TUFTS, “SINGULAR VALUE DECOMPOSITION AND SPECTRAL ANALYSIS,” Proc. IEEE Workshop on Spectral Estimation (HAMILTON, ONT.), pp.
201. H. J. LANDAU AND H. O. POLLAK, “PROLATE SPHEROIDAL WAVE FUNCTIONS, FOURIER ANALYSIS AND UNCERTAINTY-II,” Bell Syst. Tech. J., vol. 40, pp. 65-84, 1961.
202. H. J. LANDAU AND H. O. POLLAK, “PROLATE SPHEROIDAL WAVE FUNCTIONS, FOURIER ANALYSIS AND UNCERTAINTY-III,” Bell Syst. Tech. /., vol. 40, pp. 1295-1336, 1962.
203. R. D. LARSEN, “TIME SERIES ANALYSIS IN FOURIER SPECTROSCOPY,” IN Proc. 1970 Aspen Inter. Conf. on Fourier Spectroscopy, G. A. VANASSE, A. T. STAIR, AND D. J. BAKER, EDS., pp. 385-394, 1970.
204. P. F. LEE, “AN ALGORITHM FOR COMPUTING THE CUMULATIVE DISTRIBUTION FUNCTION FOR MAGNITUDE SQUARED COHERENCE ESTIMATES,” IEEE Trans Acoust., Speech, Signal Processing, vol. ASSP-29, pp. 117119, 1981.
205. V. P. LEONOV AND A. N. SHIRYAEV, “ON A METHOD OF CALCULATION OF SEMIINVARIANTS,” Theory Prob. Appl., vol. IV, pp. 319-329, 1959.
206. V. P. LEONOV AND A. N. SHIRYAEV, “SOME PROBLEMS IN THE SPECTRAL THEORY OF HIGHER-ORDER MOMENTS, II,” Theory Prob. Appl., vol. V, pp. 417-421, 1960.
207. R. V. LENTH, “ON FINDING THE SOURCE OF ASIGNAL,” Technometrics, vol. 23, pp. 149-154, 1981.
208. R. V. LENTH, “ROBUST MEASURES OF LOCATION FOR DIRECTIONAL DATA,” Technometrics, vol. 23, pp. 77-81, 1981.
209. G. J. LEPPINK, “EFFICIENT ESTIMATORS IN SPECTRAL ANALYSIS,” Proc. 12th Biennial Seminar, Can. Math. Congress, R. PYKE, ED., pp. 83-87 (CAN. MATH. CONGRESS, MONTREAL), 1970.
210. P. LESAGE AND C. AUDOIN, “CHARACTERIZATION OF FREQUENCY STABILITY: UNCERTAINTY DUE TO THE FINITE NUMBER OF MEASUREMENTS,” IEEE Trans Instrum. Meas, vol. IM-22, pp. 157-161, 1973.
211. B. YA. LEVIT, AND A. M. SAMAROV, “ESTIMATION OF SPECTRAL FUNCTIONS,” Prob. Infor. Trans., vol. 14, pp. 120-124, 1978.
212. W. C. LINDSEY AND C. M. CHIE, “THEORY OF OSCILLATOR INSTABILITY BASED UPON STRUCTURE FUNCTIONS,” Proc. IEEE, vol. 64, pp. 16521666. 1976.
213. M. Loève, Probability Theory. NEW YORK: VAN NOSTRAND, 1963.
214. Z. A. LOMNICKI AND S. K. ZAREMBA, “ON ESTIMATING THE SPECTRAL DENSITY FUNCTION OF A STOCHASTIC PROCESS,” J. Roy. Statist Soc., vol. B-19, pp. 13-37, 1957.
215. Z. A. LOMNICKI AND S. K. ZAREMBA, “BANDWIDTH AND RESOLVABILITY IN STATISTICAL SPECTRAL ANALYSIS,” J. Roy. Statist. SOC., vol. B-21, pp. 169-171, 1959.
216. R. LUGANNANI, “ASYMPTOTIC DISTRIBUTION OF THE SAMPLE COHERENCE USING OVERLAP PROCESSING,” IN Proc. 16th Allerton Conf. on Control and Computing (UNIV. OF ILLINOIS), pp. 403-412, 1978.
217. E. LUKACS, “A CHARACTERIZATION OF A BIVARIATE GAMMA DISTRIBUTION,” IN Multivariate Analysis-IV,P. R. KRISHNAIAH, ED. AMSTERDAM, THE NETHERLANDS: NORTH-HOLLAND, pp. 119-128.
218. I. B. MACNEILL, “TESTS FOR PERIODIC COMPONENTS IN MULTIPLE TIME SERIES,” BIOMETRIKA, vol. 61, pp. 57-70, 1974.
219. I. B. MACNEILL, “A TEST OF WHETHER SEVERAL TIME SERIES SHARE COMMON PERIOD-ICITIES,” Biometrika, vol. 64, pp. 495-508, 1977.
220. T. A. MAGNESS, “SPECTRAL RESPONSE OF A QUADRATIC DEVICE TO NON-GAUSSIAN NOISE,” J. Appl. Phys., vol. 25, pp. 1357-1365, 1954.
221. H. MAITRE, “ITERATIVE SUPERRESOLUTION. SOME FAST NEW METHODS,” Opt. Acta, vol. 28, pp. 973-980, 1981.
222. C. L. MALLOWS, “LINEAR PROCESSES ARE NEARLY GAUSSIAN,” J. Appl. Prob., vol. 4, pp. 313-329, 1967.
223. J. D. MARKEL AND A. H. GRAY, JR., “ON AUTOCORRELATION EQUATIONS AS APPLIED TO SPEECH ANALYSIS,” IEEE Trans Audio Electroacoust., vol. AU-21, pp. 69-79, 1973.
224. J. E. MAZO, “ON THE ANGLE BETWEEN TWO FOURIER SUBSPACES,” Bell Syst. Tech. J., vol. 56, pp. 411-426, 1977.
225. R. N. MCDONOUGH, “A CANONICAL FORM OF THE LIKELIHOOD DETECTOR FOR GAUSSIAN RANDOM VECTORS,” J. Acoust. Soc. Amer., vol. 49, pp. 402-406, 1970.
226. J. M. MENDEL, “WHITE-NOISE ESTIMATORS FOR SEISMIC DATA PROCESSING IN OIL EXPLORATION,” IEEE Trans Automat. Contr., vol. AC-22, pp. 694-706, 1977.
227. K. S. MILLER, “COMPLEX LINEAR LEAST SQUARES,” SIAM Rev., vol. 15, pp. 706-726, 1973.
228. K. S. MILLER, Complex Stochastic Processes. READING, MA: ADDISON-WESLEY, 1974.
229. K. S. MILLER, R. I. BERNSTEIN AND L. E. BLUMENSON, “GENERALIZED RAYLEIGH PROCESSES,” Quart J. Math., vol. 16, pp. 137-145, 1958.
230. K. MILLER AND G. A. VIANO, “ON THE NECESSITY OF NEARLY-BEST-POSSIBLE METHODS FOR ANALYTIC CONTINUATION OF SCATTERING DATA,” J. Math. Phys., vol. 14, pp. 1037-1048, 1973.
231. M. MIYATA, “COMPLEX GENERALIZATION OF CANONICAL CORRELATION AND ITS APPLICATION OT A SEA-LEVEL STUDY,” J. Marine Res., vol. 28, pp. 202-214, 1970.
232. J. A. MULLEN AND D. MIDDLETON, “THE RECTIFICATION OF NON-GAUSSIAN NOISE,” Quart. Appl. Math., vol. 15, pp. 395-419, 1958.
233. M. Z. NASHED AND G. WAHBA, “GENERALIZED INVERSES IN REPRODUCING KERNEL SPACES: AN APPROACH TO REGULARIZATION OF LINEAR OPERATOR EQUATIONS,” SIAM J. Math. Anal., vol. 5, pp. 974-987, 1974.
234. P. G. NEVAI, “EIGENVALUE DISTRIBUTION OF TOEPLITZ MATRICES,” Proc. Amer. Math. Soc., vol. 80, pp. 247-253, 1980.
235. A. H. NUTTALL, AND C. G. CARTER, “A GENERALIZED FRAMEWORK FOR POWER SPECTRAL ESTIMATION,” IEEE Trans Acoust., Speech, Signal Processing, vol. ASSP-28, pp. 334-335, 1980.
236. R. L. OBENCHAIN, “GOOD AND OPTIMAL RIDGE ESTIMATES,” Ann. Statist., vol. 6, pp. 1111-1121, 1978.
237. A. OPPENHEIM AND J. S. LIM, “THE IMPORTANCE OF PHASE IN SIGNALS,” Proc. IEEE, vol. 69, pp. 529-541, 1981.
238. R. K. OTNES AND L. ENOCHSON, Digital Time Series Analysis. NEW YORK: WILEY-INTERSCIENCE, 1972.
239. K. OZEKI, “A COORDINATE-FREE THEORY OF EIGENVALUE ANALYSIS RELATED TO THE METHOD OF PRINCIPAL COMPONENTS AND THE KARHUNEN-LOÈVE EXPANSION,” Inform. Contr., vol. 42, pp. 38-59, 1979.
240. B. V. PAL'CEV, “THE ASYMPTOTICS OF THE SPECTRUM AND EIGENFUNCTIONS OF CONVOLUTION OPERATORS ON A FINITE INTERVAL WITH A KERNEL WITH A HOMOGENEOUS FOURIER TRANSFORM,” Sov. Math.—Dokl., vol. 15, pp. 1243-1247, 1974.
241. H. A. PANOFSKY, “METEOROLOGICAL APPLICATIONS OF CROSS-SPECTRUM ANALYSIS,” IN Spectral Analysis of Time Series, B. HARRIS, ED. NEW YORK: WILEY, 1967, pp. 109-132.
242. A. PAPOULIS, Probability, Random Variables, and Stochastic Processes. NEW YORK: MCGRAW-HILL, 1965.
243. A. PAPOULIS, “MINIMUM-BIAS WINDOWS FOR HIGH-RESOLUTION SPECTRAL ESTIMATES,” IEEE Trans. Informat. Theory, vol. IT-19, pp. 9-12, 1973.
244. A. PAPOULIS, “A NEW ALGORITHM IN SPECTRAL ANALYSIS AND BAND-LIMITED EXTRAPOLATION,” IEEE Trans. Circuits Syst., vol. CAS-22, pp. 735-742, 1975.
245. A. PAPOULIS AND M. S. BERTRAN, “DIGITAL FILTERING AND PROLATE FUNCTIONS,” IEEE Trans. Circuit Theory, vol. CT-19, pp. 674-681, 1972.
246. E. PARZEN, “ON CONSISTENT ESTIMATES OF THE SPECTRUM OF ASTATIONARY TIME SERIES,” Ann. Math. Statist., vol. 28, pp. 329-348, 1957.
247. E. PARZEN, “MATHEMATICAL CONSIDERATIONS IN THE ESTIMATION OF SPECTRA,” Technometrics, vol. 3, pp. 167-190, 1961.
248. E. PARZEN, Time Series Analysis Papers. SAN FRANCISCO, CA: HOLDEN-DAY, 1967.
249. E. PARZEN, “TIME SERIES ANALYSIS FOR MODELS OF SIGNAL PLUS WHITE NOISE,” IN Spectral Analysis of Time Series, B. HARRIS, ED. NEW YORK: WILEY, 1967, pp. 233-258.
250. E. PARZEN, “STATISTICAL INFERENCE ON TIME SERIES BY RKHS METHODS,” Proc. 12th Biennial Seminar Can. Math. Congress, R. PYKE, ED. (CAN. MATH CONGRESS, MONTREAL), pp. 1-37, 1970.
251. E. PARZEN, “MODERN EMPIRICAL STATISTICAL SPECTRAL ANALYSIS,” TECH. REP. N-12, TEXAS A & M UNIV., 1980.
252. E. PARZEN, “AUTOREGRESSIVE SPECTRAL ESTIMATION, LOG SPECTRAL SMOOTHING, AND ENTROPY,” TECH. REP. N-26, TEXAS A&M UNIV., 1981.
253. K. L. PEACOCK, AND S. TRIETEL, “PREDICTIVE DECONVOLUTION: THEORY AND PRACTICE,” Geophysics, vol. 34, pp. 155-169, 1969.
254. W. L. PERRY, “APPROXIMATE SOLUTIONS OF INVERSE PROBLEMS WITH PIECEWISE CONTINUOUS SOLUTIONS,” Radio Sci., vol. 12, pp. 637642, 1977.
255. D. L. PHILLIPS, “A TECHNIQUE FOR THE NUMERICAL SOLUTION OF CERTAIN INTEGRAL EQUATIONS OF THE FIRST KIND,” J. Assoc. Comput. Mach., vol. 9, pp. 84-97, 1962.
256. M. S. PINSKER, Information and Information Stability of Random Variables and Processes (TRANSLATED BY A. FEINSTEIN). SAN FRANCISCO: HOLDEN-DAY, 1964.
257. V. F. PISARENKO, “ON THE ESTIMATION OF SPECTRA BY MEANS OF NONLINEAR FUNCTIONS OF THE COVARIANCE MATRIX,” Geophys. J., Roy. Astronomical Soc., vol. 28, pp. 511-531, 1972.
258. V. F. PISARENKO, “THE RETRIEVAL OF HARMONICS FROM A COVARIANCE FUNCTION,” Geophys. J., Roy. Astronomical Soc., vol. 33, pp. 347-366, 1973.
259. J. PLIVA, A. S. PINE, AND P. D. WILSON, “DECONVOLUTION OF INFRARED SPECTRA BEYOND THE DOPPLER LIMIT,” Appl. Opt., vol. 19, pp. 1833-1837, 1980.
260. K.M.M. PRABHU AND V. U. REDDY, “DATA WINDOWS IN DIGITAL SIGNAL PROCESSING-A REVIEW,” J. Inst. Electr. Telecom. Eng., vol. 26, no. 1, pp. 69-76, 1980.
261. P. PRESCOTT, “VARIANCES AND COVARIANCES OF ORDER STATISTICS FROM THE GAMMA DISTRIBUTION,” Biometrika, vol. 61, pp. 607-613, 1974.
262. M. B. PRIESTLEY, “THE ANALYSIS OF STATIONARY PROCESSES WITH MIXED SPECTRA,” J. Royal Statist. Soc., vol. B-24; P. I, pp. 215-233; P. II, pp. 511-529, 1962.
263. M. B. PRIESTLEY, “ESTIMATION OF THE SPECTRAL DENSITY FUNCTION IN THE PRESENCE OF HARMONIC COMPONENTS,” J. Roy. Statist. Soc., vol. B-26, pp. 123-132, 1964.
264. M. B. PRIESTLEY, “THE ROLE OF BANDWIDTH IN SPECTRAL ANALYSIS,” Appl. Statist.,VOL. 14, pp. 33-47, 1965.
265. M. B. PRIESTLEY, Spectral Analysis and Time Series I & II. NEW YORK: ACADEMIC PRESS. 1981.
266. R. PROST AND R. GOUTTE, “DECONVOLUTION WHEN THE CONVOLUTION KERNEL HAS NO INVERSE,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-25, pp. 542-549, 1977.
267. A. J. RAINAL, “PHASE PRINCIPLE FOR MEASURING LOCATION OR SPECTRAL SHAPE OF A DISCRETE RADIO SOURCE,” Bell Syst. Tech. J., vol. 47, pp. 415-428, 1968.
268. A. J. RAINAL, “DETECTING A WEAK SINE WAVE AND MEASURING ITS PARAMETERS,” IEEE Trans. Instrum. Meas., vol. IM-17, pp. 127-133, 1968.
269. C. R. RAO, Linear Statistical Inference and Its Applications.NEW YORK: WILEY, 1965.
270. LORD RAYLEIGH (J. W. STRUTT), [1879-1880] “INVESTIGATIONS IN OPTICS, WITH SPECIAL REFERENCE TO THE SPECTROSCOPE,” IN Scientific Papers by Lord Rayleigh. NEW YORK: DOVER, 1964, ARTICLE 62.
271. LORD RAYLEIGH (J. W. STRUTT), [1912], “REMARKS CONCERNING FOURIER'S THEOREM AS APPLIED TO PHYSICAL PROBLEMS,” IN Scientific Papers by Lord Rayleigh. NEW YORK: DOVER, 1964, ARTICLE 369.
272. D. R. RHODES, “ON THE SPHEROIDAL FUNCTIONS,” J. Res. Nat. Bur. Stand., vol. 74B, pp. 187-209, 1970.
273. D. R. RHODES, “ON A THIRD KIND OF CHARACTERISTIC NUMBERS OF THE SPHEROIDAL FUNCTIONS,” Proc. Nat. Acad. Sci. (USA), vol. 67, pp. 351-355, 1970.
274. D. R. RHODES, “ON THE TAYLOR DISTRIBUTION,” IEEE Trans. Antennas Propagating, vol. AP-20, pp. 143-145, 1972.
275. G. G. RICKER AND J. R. WILLIAMS, “REDUNDANT PROCESSING SENSITIVITY IEEE Trans. Automat. Contr., vol. AU-21, pp. 348-354, 1973.
276. D. C. RIFE, AND R. R. BOORSTYN, “MULTIPLE TONE PARAMETER ESTIMATION FROM DISCRETE-TIME OBSERVATIONS,” Bell Syst. Tech.J., vol. 55, pp. 1389-1410, 1976.
277. D. C. RIFE, AND G. A. VINCENT, “USE OF THE DISCRETE FOURIER TRANSFORM IN THE MEASUREMENT OF FREQUENCIES, AND LEVELS OF TONES,” BellSyst. Tech. J., vol. 49, pp. 197-228, 1970.
278. H. B. RILEY AND W. E. ALEXANDER, “DECONVOLUTION USING THE COMPLEX CEPSTRUM,” Proc. Southeastcon., pp. 854-858, 1981.
279. A. L. ROARK AND G. M. WING, “A METHOD FOR COMPUTING THE EIGENVALUES OF CERTAIN INTEGRAL EQUATIONS,” Numerische Math., vol. 7, pp. 159-170, 1965.
280. L. ROBIN, Fonctions Sphériques de Legendre et Fonctions Sphéroidales, I-III. PARIS: GAUTHIER-VILLARS, 1957-1959.
281. Y. RONEN AND M. ZAKAI, “THE MAXIMUM LIKELIHOOD ESTIMATOR FOR A PHASE COMPARISON ANGLE MEASURING SYSTEM,” Proc. IEEE, vol. 52, pp. 1669-1670, 1963.
282. M. ROSENBLATT, “SOME COMMENTS ON NARROW BAND-PASS FILTERS,” Quart. Appl. Math., vol. 18, pp. 387-393, 1961.
283. M. ROSENBLATT AND J. W. VAN NESS, “ESTIMATION OF THE BISPECTRUM,” Ann. Math. Statist., vol. 36, pp. 1120-1136, 1965.
284. Y. A. ROZANOV, “SPECTRAL ANALYSIS OF ABSTRACT FUNCTIONS,” Theory Prob. Appl.,vol. 4, pp. 271-287, 1959.
285. Y. A. ROZANOV, “On the applicability of the central limit theorem to stationary processes which have passed through a linear filter,” Theory Prob. Appl., vol. 6, pp. 321-322, 1961.
286. Y. A. ROZANOV, Stationary Stochastic Processes. SAN FRANCISCO, CA: HOLDEN-DAY, 1967.
287. C. K. RUSHFORTH AND R. W. HARRIS, “RESTORATION, RESOLUTION, AND NOISE,” J. Opt. Soc. Amer., vol. 58, pp. 539-545, 1968.
288. J. RUTMAN, “CHARACTERIZATION OF PHASE AND FREQUENCY INSTABILITIES IN PRECISION FREQUENCY SOURCES: FIFTEEN YEARS OF PROGRESS,” Proc. IEEE, vol. 66, pp. 1048-1075, 1978.
289. M. S. SABRI AND W. STEENAART, “AN APPROACH TO BAND-LIMITED EXTRAPOLATION: THE EXTRAPOLATION MATRIX,” IEEE Trans. Circuits Syst., vol. CAS-25, pp. 74-78, 1978.
290. A. M. SAMAROV, “LOWER BOUND ON THE RISK FOR SPECTRAL DENSITY ESTIMATES,” Prob. Infor. Trans., vol. 13, pp. 48-52, 1977.
291. T. K. SARKAR, D. D. WEINER, AND V. K. JAIN, “SOME MATHEMATICAL CONSIDERATIONS IN DEALING WITH THE INVERSE PROBLEM,” IEEE Trans. Antennas Propagai., vol. AP-29, pp. 373-379, 1981.
292. H. SCHEFFÉ, The Analysis of Variance. NEW YORK: WILEY, 1959.
293. A. SCHUSTER, “ON THE INVESTIGATION OF HIDDEN PERIODICITIES WITH APPLICATION TO A SUPPOSED 26 DAY PERIOD OF METEOROLOGICAL PHENOMENA,” Terr. Magn., vol. 3, pp. 13-41, 1898.
294. C. E. SHANNON, “A MATHEMATICAL THEORY OF COMMUNICATION,” BellSyst. Tech. J., vol. 27, pp. 379-423 AND 623-656, 1948.
295. A. N. SHIRYAEV, “SOME PROBLEMS IN THE SPECTRAL THEORY OF HIGHER-ORDER MOMENTS I,” Theory Prob. Appl., vol. V, pp. 265-284, 1960.
296. Y. G. SHIRYAEV, “ON CONDITIONS FOR ERGODICITY OF STATIONARY PROCESSES IN TERMS OF HIGHER ORDER MOMENTS,” Theory Prob. Appl., vol. 436-439, 1963.
297. R. A. SILVERMAN, “THE FLUCTUATION RATE OF THE CHI PROCESS,” IRE Trans. Informat. Theory, vol. IT-4, pp. 30-34, 1958.
298. Y. G. SINAI, “ON HIGHER ORDER SPECTRAL MEASURES OF ERGODIC STATIONARY PROCESSES,” Theory Prob. Appl., vol. VIII, pp. 429436, 1963.
299. M. T. SILVIA, “THE ROLE OF STATISTICAL FILTERING IN THE GEOPHYSICAL INVERSE SCATTERING PROBLEM,” IN Proc. 24th Midwest Symp. on Circuits and Syst., S. KAMI, ED. (UNIV. OF NEW MEXICO), pp. 7681, 1981.
300. E. SJ^NTOFT, “A STRAIGHTFORWARD DECONVOLUTION METHOD FOR USE IN SMALL COMPUTERS,” Nuclear Inst. Methods, vol. 163, pp. 519-522, 1979.
301. D. SLEPIAN, “ESTIMATION OF SIGNAL PARAMETERS IN THE PRESENCE OF noise,” IRE Trans., Informat. Theory, vol. IT-3, pp. 68-89, 1953.
302. D. SLEPIAN, “FLUCTUATIONS OF RANDOM NOISE POWER,” Bell Syst. Tech J., vol. 37, pp. 163-184, 1958.
303. D. SLEPIAN, “PROLATE SPHEROIDAL WAVE FUNCTIONS, FOURIER ANALYSIS AND UNCERTAINTY-IV,” BELL Syst. Tech J., vol. 43, pp. 3009-3057, 1964.
304. D. SLEPIAN, “SOME ASYMPTOTIC EXPANSIONS FOR PROLATE SPHEROIDAL WAVE FUNCTIONS,” J. Math. Phys., vol. 44, pp. 99-140, 1965.
305. D. SLEPIAN, “ON BANDWIDTH,” Proc. IEEE, vol. 64, pp. 292-300, 1976.
306. D. SLEPIAN, “PROLATE SPHEROIDAL WAVE FUNCTIONS, FOURIER ANALYSIS, AND UNCERTAINTY-V: THE DISCRETE CASE,” Bell Syst. Tech. J., vol. 57, pp. 1371-1429, 1978.
307. D. SLEPIAN AND H. O. POLLAK, “PROLATE SPHEROIDAL WAVE FUNCTIONS, FOURIER ANALYSIS AND UNCERTAINTY-I,” Bell Syst. Tech. J., vol. 40, pp. 43-64, 1961.
308. D. SLEPIAN AND E. SONNENBLICK, “EIGENVALUES ASSOCIATED WITH PROLATE SPHEROIDAL WAVE FUNCTIONS OF ZERO ORDER,” Bell Syst. Tech. J., vol. 44, pp. 1745-1759, 1965.
309. I. H. SLOAN, “ITERATED GALERKIN METHOD FOR EIGENVALUE PROBLEMS,” SIAM J. Numer. Anal., vol. 13, pp. 753-760, 1976.
310. B. T. SMITH ET AL., “MATRIX EIGENSYSTEM ROUTINES-EISPACK GUIDE,” LECTURE NOTES IN COMPUTER SCIENCE no. 6. BERLIN: SPRINGER, 1976.
311. F. SMITHIES, Integral Equations. NEW YORK: CAMBRIDGE UNIV. PRESS, 1962.
312. S. D. STEARNS, “TESTS OF COHERENCE UNBIASING METHODS,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-29, pp. 321-323, 1981.
313. B. O. STEENSON AND N. C. STIRLING, “THE AMPLITUDE DISTRIBUTION AND FALSE-ALARM RATE OF FILTERED NOISE,” Proc. IEEE, vol. 53, pp. 42-55, 1965.
314. R. L. STENS, “ERROR ESTIMATES FOR SAMPLING SUMS BASED ON CONVOLUTION INTEGRALS,” Infomat. Contr., vol. 45, pp. 37-47, 1980.
315. F. STENGER, “NUMERICAL METHODS BASED ON WHITTAKER CARDINAL, OR SINC FUNCTIONS,” SJAM Rev., vol. 23, pp. 165-224, 1981.
316. M. STONE, “APPLICATION OF A MEASURE OF INFORMATION TO THE DESIGN AND COMPARISON OF REGRESSION EXPERIMENTS,” Ann. Math. Statist., vol. 30, pp. 55-70, 1959.
317. O. N. STRAND AND E. R. WESTWATER, “MINIMUM-RMS ESTIMATION OF THE NUMERICAL SOLUTION OF A FREDHOLM INTEGRAL EQUATION OF THE FIRST KIND,” SIAM J. Numer. Anal., vol. 5, pp. 287-295, 1968.
318. A. H. STROUD AND D. SECREST, Gaussian Quadrature Formulas. ENGLEWOOD CLIFFS, NJ: PRENTICE-HALL, 1966.
319. G. SZEGÖ, “BEITRÄGE ZUR THEORIE DET TOEPLITZCHENFORMEN,” MATH. Zeitschr., vol. 6, pp. 167-202, 1920.
320. G. Szegö, “Beiträge zur theorie det toeplitzchen formen (fortset-zung),” Math. Zeitschr., Vol. 9, pp. 167-190, 1921.
321. G. SZEGÖ, Orthogonal polynomials, 3RD ED. NEW YORK: AMERICAN MATH SOC., 1967.
322. L. S. TAYLOR, “THE PHASE RETREIVAL PROBLEM,” IEEE Trans. Antennas Propagat., vol. AP-29, pp. 386-391, 1981.
323. D. J. THOMSON, “SPECTRAL ANALYSIS OF SHORT SERIES,” PH.D. DISSERTATION, POLYTECHNIC INSTITUTE OF BROOKLYN, BROOKLYN NY, 1971.
324. D. J. THOMSON, “SPECTRUM ESTIMATION TECHNIQUES FOR CHARACTERIZATION AND DEVELOPMENT OF WT4 WAVEGUIDE,” Bell Syst Tech. J., vol. 56, PT. I, pp. 1769-1815, PT II, pp. 1983-2005, 1977.
325. D. J. THOMSON, “SOME RECENT DEVELOPMENTS IN SPECTRUM AND HARMONIC ANALYSIS,” IN Computer Science and Statistics: Proc. of the 13th Symposium on the Interface, W. F. EDDY, ED. NEW YORK: SPRINGER, 1981, pp. 167-171.
326. D. J. THOMSON, “SPECTRUM ESTIMATION AND HARMONIC ANALYSIS,” IN Proc. 1st ASSP Workshop on Spectral Estimation, S. HAYKIN, ED. pp. 6.2.1-6.2.8, 1981.
327. D. J. THOMSON, M. F. ROBBINS, C. G. MACLENNAN, AND L. J. LANZEROTTI, “SPECTRAL AND WINDOWING TECHNIQUES IN POWER SPECTRAL ANALYSIS OF GEOMAGNETIC DATA,” Phys Earth Planetary Interiors,vol. 12, pp. 217-231, 1976.
328. L. J. TICK, “CONDITIONAL SPECTRA, LINEAR SYSTEMS, AND COHERENCY,” IN Time Series Analysis, M. ROSENBLATT, ED. NEW YORK: WILEY, 1962, pp. 197-203.
329. L. J. TICK, “ESTIMATION OF COHERENCY,” Spectral Analysis of Time Series, B. HARRIS, ED. NEW YORK: WILEY, 1967, pp. 133-152.
330. E. C. TITCHMARSH, Eigenfunction Expansions, I & II. NEW YORK: OXFORD UNIV. PRESS, 1962.
331. P. H. TODD, “DIRECT MINIMAL-ORDER MARKOV MODEL FOR SLIDING-WINDOW DETECTION PROBABILITIES,” Proc. Inst Elec. Eng., vol. 128, PT. F, pp. 152-154, 1981.
332. E. A. TRACHTENBERG, “CONSTRUCTION OF FAST UNITARY TRANSFORMS WHICH ARE EQUIVALENT TO KARHUNEN-LOÈVE SPECTRAL REPRESENTATIONS,” IN Proc. IEEE Int. Symp. Electro., pp. 376-379, 1980.
333. J. R. TREICHLER, “TRANSIENT AND CONVERGENT BEHAVIOUR OF THE ADAPTIVE LINE ENHANCER,” IEEE Tran. Acoust., Speech, Signal Processing, vol. ASSP-27, pp. 53-62, 1979.
334. F. G. TRICOMI, Integral Equations. NEW YORK: WILEY-INTERSCIENCE, 1957.
335. D. W. TUFTS AND J. T. FRANCIS, “DESIGNING DIGITAL LOW-PASS FILTERS-COMPARISON OF SOME METHODS AND CRITERIA,” IEEE Trans Audio Electroacoust., vol. AU-18, pp. 487-494, 1970.
336. D. W. TUFTS AND J. T. FRANCIS, “ESTIMATION AND TRACKING OF PARAMETERS OF NARROW-BAND SIGNALS BY ITERATIVE PROCESSING,” IEEE Trans. Informat. Theory, vol. IT-23, pp. 742-751, 1977.
337. J. W. TUKEY, “DISCUSSION, EMPHASIZING THE CONNECTION BETWEEN ANALYSIS OF VARIANCE AND SPECTRUM ANALYSIS,” Technometrics, vol.3, pp. 191-219, 1961.
338. D. W. TUFTS AND J. T. FRANCIS, “AN INTRODUCTION TO THE CALCULATIONS OF NUMERICAL SPECTRUM ANALYSIS,” IN Spectral Analysis of Time Series, B. HARRIS, ED. NEW YORK: WILEY, 1967.
339. D. W. TUFTS AND J. T. FRANCIS, “CAN WE PREDICT WHERE 'TIME SERIES' SHOULD GO NEXT?,” IN Directions in Time Series, D. R. BRILLINGER AND G. C. TIAO, EDS. NEW YORK: INST. MATH. STATIST., 1980.
340. J. W. VAN NESS, “ASYMPTOTIC NORMALITY OF BISPECTRAL ESTIMATES,” Ann. Math. Statist., vol. 37, pp. 1257-1272, 1966.
341. H. L. VAN TREES, Detection, Estimation, and Modulation Theory I.NEW YORK: WILEY, 1968.
342. G. WAHBA, “ON THE DISTRIBUTION OF SOME STATISTICS USEFUL IN THE ANALYSIS OF JOINTLY STATIONARY TIME SERIES,” ANN. Math. Statist., vol. 39, pp. 1849-1862, 1968.
343. G. WAHBA, “AUTOMATIC SMOOTHING OF THE LOG PERIODOGRAM,” J. Amer. Statist. Assoc., vol. 75, pp. 122-132, 1980.
344. A. M. WALKER, “ON THE ESTIMATION OF A HARMONIC COMPONENT IN A TIME SERIES WITH STATIONARY INDEPENDENT RESIDUALS,” Biometrika, vol. 58, pp. 21-36.
345. G. G. WALTER, “A CLASS OF SPECTRAL DENSITY ESTIMATORS,” Ann Inst. Statist. Math., vol. 32A, pp. 65-80, 1980.
346. P. D. WELCH, “A DIRECT DIGITAL METHOD OF POWER SPECTRUM ESTIMATION,” IBM J. Res Devel.,vol. 5, pp. 141-156, 1961.
347. P. D. WELCH, “THE USE OF THE FAST FOURIER TRANSFORM FOR ESTIMATION OF SPECTRA: A METHOD BASED ON TIME AVERAGING OVER SHORT, MODIFIED PERIODOGRAMS,” IEEE Trans. Audio Electroacoust., AU-15, pp. 70-74, 1967.
348. P. WHITTLE, “THE SIMULTANEOUS ESTIMATION OF A TIME SERIES HARMONIC COMPONENTS AND COVARIANCE STRUCTURE,” Trabajos de Estadística,vol. 13, pp. 43-57, 1952.
349. P. WHITTLE, “ESTIMATION AND INFORMATION IN STATIONARY TIME SERIES,” Ark. FürMatematik, vol. 2, pp. 423-434, 1953.
350. P. WHITTLE, Prediction and Regulation by Linear Least-SquaresMethods.PRINCETON, NJ: VAN NOSTRAND, 1963.
351. N. WIENER, Extrapolation, Interpolation and Smoothing of Stationary Time Series. CAMBRIDGE, MA: M.I.T. PRESS, 1949.
352. J. H. WILKINSON, The Algebraic Eigenvalue Problem. OXFORD, ENGLAND: CLARENDON, 1965.
353. S. S. Wilks, Mathematical Statistics. NEW YORK: WILEY, 1962.
354. E. J. WILLIAMS, “THE ANALYSIS OF ASSOCIATION AMONG MANY VARIATES, WITH DISCUSSION,” J. Roy. Statist. Soc., vol. B-29, PP, 199-242, 1967.
355. J. R. WILLIAMS AND G. G. RICKER, “SPECTRUM ANALYZER OVERLAP REQUIREMENTS AND DETECTABILITY USING DISCRETE FOURIER TRANSFORM AND COMPOSITE DIGITAL FILTERS,” J. Acoust. Soc., Amer.,vol. 64, pp. 815-822, 1978.
356. R. A. WILLIAMS AND W.S.C. CHANG, “RESOLUTION AND NOISE IN FOURIER TRANSFORM SPECTROSCOPY,” J. Opt. Soc. Amer., vol. 56, pp. 167-170, 1966.
357. M. B. WOODROOFE AND J. W. VAN NESS, “THE MAXIMUM DEVIATION OF SAMPLE SPECTRAL DENSITIES,” Ann Math. Statist., vol. 38, pp. 1558-1569, 1967.
358. A. D. WYNER, “APPLICATIONS OF DISCRETE PROLATE SPHEROIDAL SEQUENCES TO DIGITAL FILTERING,” UNPUBLISHED WORK.
359. K. YOSHIMURA, “CHARACTERIZATION OF FREQUENCY STABILITY: UNCERTAINTY DUE TO THE AUTOCORRELATION OF THE FREQUENCY FLUCTUATIONS,” IEEE Trans Instrum. Meas, vol. IM-27, pp. 1-7, 1978.
360. C. K. YUEN, “COMMENTS ON MODERN METHODS OF SPECTRUM ESTIMATION,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-27, pp. 298-299, 1979.
361. I. G. ZHURBENKO, “LOCAL PROPERTIES OF ESTIMATE OF SPECTRAL FUNCTION, “Prob. Infor. Trans.,vol. 14, pp. 218-222, 1976.
362. D. S. ZRNIC, “SPECTRAL STATISTICS FOR COMPLEX COLOURED DISCRETE-TIME SEQUENCE,” IEEE Trans Acoust., Speech, Signal Processing,ACCD nn eoc_eao toen