메뉴 건너뛰기




Volumn 208, Issue 4, 1997, Pages 617-652

Probability density of finite fourier series with random phases

Author keywords

[No Author keywords available]

Indexed keywords

PROBABILITY DENSITY FUNCTION;

EID: 0031367628     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1997.1207     Document Type: Article
Times cited : (11)

References (36)
  • 1
    • 0002676166 scopus 로고
    • On the resultant of a large number of vibrations of the same pitch and arbitrary phase
    • LORD RAYLEIGH 1880 Philosophical Magazine X, 73-78. On the resultant of a large number of vibrations of the same pitch and arbitrary phase. See also Theory of Sound. New York: Dover, reprinted 1945, Vol. 10, art. 42a; and Scientific Papers. New York: Dover, 1964, Vol. I, pp. 491-496.
    • (1880) Philosophical Magazine , vol.10 , pp. 73-78
    • Rayleigh, L.1
  • 2
    • 0003951930 scopus 로고
    • New York: Dover, reprinted art. 42a
    • LORD RAYLEIGH 1880 Philosophical Magazine X, 73-78. On the resultant of a large number of vibrations of the same pitch and arbitrary phase. See also Theory of Sound. New York: Dover, reprinted 1945, Vol. 10, art. 42a; and Scientific Papers. New York: Dover, 1964, Vol. I, pp. 491-496.
    • (1945) Theory of Sound , vol.10
  • 3
    • 30244505026 scopus 로고
    • New York: Dover
    • LORD RAYLEIGH 1880 Philosophical Magazine X, 73-78. On the resultant of a large number of vibrations of the same pitch and arbitrary phase. See also Theory of Sound. New York: Dover, reprinted 1945, Vol. 10, art. 42a; and Scientific Papers. New York: Dover, 1964, Vol. I, pp. 491-496.
    • (1964) Scientific Papers , vol.1 , pp. 491-496
  • 6
    • 84939730902 scopus 로고
    • S. O. RICE 1944 The Bell Systems Technical Journal 23 282-332. Continued in 1945; 24, 46-156. Mathematical analysis of random noise. Also available in N. WAX (ed.) 1954 Selected Papers on Noise and Stochastic Processes. New York: Dover.
    • (1944) The Bell Systems Technical Journal , vol.23 , pp. 282-332
    • Rice, S.O.1
  • 7
    • 84939730902 scopus 로고
    • Mathematical analysis of random noise
    • Also available in N. WAX (ed.) 1954 New York: Dover
    • S. O. RICE 1944 The Bell Systems Technical Journal 23 282-332. Continued in 1945; 24, 46-156. Mathematical analysis of random noise. Also available in N. WAX (ed.) 1954 Selected Papers on Noise and Stochastic Processes. New York: Dover.
    • (1945) Selected Papers on Noise and Stochastic Processes , vol.24 , pp. 46-156
  • 11
    • 0003851731 scopus 로고
    • Washington D.C.: National Bureau of Standards, U.S. Government Printing Office; reprinted by Dover
    • M. ABRAMOWITZ and I. A. STEGUN 1964 Handbook of Mathematical Functions. Washington D.C.: National Bureau of Standards, U.S. Government Printing Office; reprinted by Dover.
    • (1964) Handbook of Mathematical Functions
    • Abramowitz, M.1    Stegun, I.A.2
  • 13
    • 0000155427 scopus 로고
    • First-order statistics of combined random sinusoidal waves with application to laser speckle patterns
    • A. BARAKAT 1974 Optica Acta 21, 903-921. First-order statistics of combined random sinusoidal waves with application to laser speckle patterns.
    • (1974) Optica Acta , vol.21 , pp. 903-921
    • Barakat, A.1
  • 14
    • 0004062749 scopus 로고
    • Ver 2.2, Wolfram Research, Champaign, Illinois
    • Mathematica, 1995 Ver 2.2, Wolfram Research, Champaign, Illinois.
    • (1995) Mathematica
  • 16
    • 33750474190 scopus 로고
    • The problem of the random walk
    • LORD RAYLEIGH, 1905 Nature 72, 318. The problem of the random walk.
    • (1905) Nature , vol.72 , pp. 318
    • Rayleigh, L.1
  • 19
    • 0000645464 scopus 로고
    • On the problem of random vibrations and of random flights in one, two, or three dimensions
    • LORD RAYLEIGH 1919 Philosophical Magazine XXXVII, 321-347. On the problem of random vibrations and of random flights in one, two, or three dimensions. Also contained in Scientific Papers. New York: Dover, 1964, Vol. VI, pp. 604-641.
    • (1919) Philosophical Magazine , vol.37 , pp. 321-347
    • Rayleigh, L.1
  • 20
    • 30244567822 scopus 로고
    • New York: Dover
    • LORD RAYLEIGH 1919 Philosophical Magazine XXXVII, 321-347. On the problem of random vibrations and of random flights in one, two, or three dimensions. Also contained in Scientific Papers. New York: Dover, 1964, Vol. VI, pp. 604-641.
    • (1964) Scientific Papers , vol.6 , pp. 604-641
  • 23
    • 0000983051 scopus 로고
    • The distribution of length and components of the sun of n random vectors
    • J. A. GREENWOOD and D. DURAND 1955 Annals of Mathematical Statistics 26, 233-246. The distribution of length and components of the sun of n random vectors.
    • (1955) Annals of Mathematical Statistics , vol.26 , pp. 233-246
    • Greenwood, J.A.1    Durand, D.2
  • 25
    • 0002121327 scopus 로고
    • Stochastic problems in physics and astronomy
    • S. CHANDRASEKHAR 1943 Reviews of Modern Physics 15, 2-74. Stochastic problems in physics and astronomy. Also available in N. WAX (ed.) 1954 Selected Papers on Noise and Stochastic Processes. New York: Dover.
    • (1943) Reviews of Modern Physics , vol.15 , pp. 2-74
    • Chandrasekhar, S.1
  • 26
    • 0004104734 scopus 로고
    • New York: Dover
    • S. CHANDRASEKHAR 1943 Reviews of Modern Physics 15, 2-74. Stochastic problems in physics and astronomy. Also available in N. WAX (ed.) 1954 Selected Papers on Noise and Stochastic Processes. New York: Dover.
    • (1954) Selected Papers on Noise and Stochastic Processes
    • Wax, N.1
  • 27
    • 30244547648 scopus 로고
    • Joint distribution function for position and rotation angle in plane random walks
    • L. T. WILLIE 1987 Physica 141A, 509-523. Joint distribution function for position and rotation angle in plane random walks.
    • (1987) Physica , vol.141 A , pp. 509-523
    • Willie, L.T.1
  • 28
    • 25044466443 scopus 로고
    • Joint densities for random walks in the plane
    • S. H. WEISS and U. SHMULEI 1987 Physica 146A, 641-649. Joint densities for random walks in the plane.
    • (1987) Physica , vol.146 A , pp. 641-649
    • Weiss, S.H.1    Shmulei, U.2
  • 29
    • 13444268335 scopus 로고
    • On the fatigue failure of structure due to vibrations excited by random pressure fields
    • A. POWELL 1958 Journal of the Acoustical Society of America 30 (12), 1130-1135. On the fatigue failure of structure due to vibrations excited by random pressure fields.
    • (1958) Journal of the Acoustical Society of America , vol.30 , Issue.12 , pp. 1130-1135
    • Powell, A.1
  • 30
    • 30244458992 scopus 로고
    • Effect of spectral non linearities upon peak distributions of random signals
    • J. T. BROCH 1963 Bruel & Kjaer Technical Journal, No. 3, 5-29. Effect of spectral non linearities upon peak distributions of random signals.
    • (1963) Bruel & Kjaer Technical Journal , vol.3 , pp. 5-29
    • Broch, J.T.1
  • 31
    • 0040406290 scopus 로고
    • The distribution of the maxima of a random curve
    • S. O. RICE 1939 American Journal of Mathematics 61, 409-416. The distribution of the maxima of a random curve.
    • (1939) American Journal of Mathematics , vol.61 , pp. 409-416
    • Rice, S.O.1
  • 32
    • 5844348699 scopus 로고
    • Probability and frequency characteristics of some flight buffet loads
    • August
    • W. B. HUSTON and T. H. SKOPINSKI 1956 NACA TN 3733, August. Probability and frequency characteristics of some flight buffet loads.
    • (1956) NACA TN 3733
    • Huston, W.B.1    Skopinski, T.H.2
  • 35
    • 0003963664 scopus 로고
    • New York: Dover Reprint of 1962 edition
    • G. P. TOLSTOV 1962 Fourier Series. New York: Dover. See pp. 173-177. Reprint of 1962 edition.
    • (1962) Fourier Series , pp. 173-177
    • Tolstov, G.P.1
  • 36
    • 33746806001 scopus 로고
    • The problem of the random walk
    • K. PEARSON 1905 Nature 72, 294. The problem of the random walk.
    • (1905) Nature , vol.72 , pp. 294
    • Pearson, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.