Right-cyclic hadamard coding schemes and fast fourier transforms for use in computing spectrum estimates in hadamard-transform spectrometry

IEEE Transactions on Instrumentation and Measurement

Volumn 45, Issue 5, 1996, Pages 860-864

  Dyer, Ruth A ^a,b   Ouattara, Siendou ^a,b   Dyer, Stephen A ^a,b  

^a IEEE

^b Kansas State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; ELECTROOPTICAL EFFECTS; ENCODING (SYMBOLS); FAST FOURIER TRANSFORMS; MASKS; MATRIX ALGEBRA; SPECTROMETERS; SPECTRUM ANALYSIS; VECTORS; WHITE NOISE;

HADAMARD TRANSFORM SPECTROMETRY; RIGHT CYCLIC HADAMARD CODING; SPECTRUM ESTIMATES;

SPECTROMETRY;

EID: 0030269707     PISSN: 00189456     EISSN: None     Source Type: Journal    
DOI: 10.1109/19.536702     Document Type: Article

References (12)

1. J. Xiong, "The effect of finite switching time of a polymer dispersed liquid crystal mask on Hadamard transform spectrometry," Master's Thesis, Kansas State University, Manhattan, 1992.
2. J. Xiong, R. A. Dyer, and S. A. Dyer, "A model for incorporating the effects of nonzero switching-time constants in electrooptic masks used in Hadamard-transform spectrometry," in Proc. IEEE Instrumentation and Measurement Technology Conf., pp. 1028-1031, May 1994.
3. P. J. Davis, Circulant Matrices. New York: Wiley, 1979.
4. S. A. Dyer, B. K. Harms, J. B. Park, T. W. Johnson, and R. A. Dyer, "A fast spectrum-recovery method for Hadamard transform spectrometers having nonideal masks," Appl. Spectrosc., vol. 43, pp. 435-440, 1989.
5. R. A. Dyer, S. A. Dyer, B. K. Harms, T. W. Johnson, and J. B. Park, "Implementation problems in Hadamard transform spectrometry," IEEE Trans. Instrum. Meas., vol. 39. pp. 163-167, 1990.
6. T. W. Johnson, J. B. Park, S. A. Dyer, B. K. Harms, and R. A. Dyer, "An efficient method for recovering the optimal unbiased linear spectrum-estimate from Hadamard transform spectrometers having nonideal masks," Appl. Spectrosc., vol. 43, pp. 746-750, 1989.
7. S. Zohar, "Toeplitz matrix inversion: The algorithm of W. F. Trench," J. Assoc. Comput. Mach., vol. 16, pp. 592-601, 1969.
8. M. Harwit and N. J. A. Sloane, Hadamard Transform Optics. New York: Academic, 1979.
9. PC-MATLAB™ User's Guide. The Math Works, Inc., South Natick, MA. 1990.
10. S. Ouattara, "On the use of right-cyclic Hadamard coding schemes and fast Fourier transforms in computing spectrum-estimates in Hadamard-transform spectrometry," Master's Thesis, Kansas State University, Manhattan, 1993.
11. N. Ahmed and K. R. Ran, Orthogonal Transforms for Digital Signal Processing. Berlin: Springer-Verlag, 1975.
12. R. E. Blahut, Fast Algorithms for Digital Signal Processing. Reading. MA: Addison-Wesley. 1985.