NDLI: Right-cyclic Hadamard coding schemes and fast Fourier transforms for use in computing spectrum estimates in Hadamard-transform spectrometry

Content Provider	IEEE Xplore Digital Library
Author	Dyer, R.A. Ouattara, S. Dyer, S.A.
Copyright Year	1994
Description	Author affiliation: Dept. of Electr. & Comput. Eng., Kansas State Univ., Manhattan, KS, USA (Dyer, R.A.; Ouattara, S.; Dyer, S.A.)
Abstract	Two computationally efficient spectrum-recovery schemes have been developed for use by Hadamard-transform spectrometers that have static and dynamic nonidealities in their encoding masks. When a right-cyclic Hadamard pattern is used to encode the mask, a fast Fourier transform (FFT) algorithm or a Trench algorithm can be used to obtain one of the matrix inverses, and an FFT can be used to compute the vector-matrix product, both of which are required in the spectrum-recovery process. In general, the number of mask elements is not an integer power of two, normally requiring that non-radix-2 FFT algorithms be used. However, with appropriate zero-padding of the vectors, radix-2 FFTs can be used to compute the required vector-matrix product. Various combinations of algorithms were used and the total computation times were compared in order to determine the most efficient means of computing the spectrum-estimate. The results indicate that the number of elements in the mask is an important factor in determining which combination of algorithms provides the most efficient recovery of the spectrum-estimate.
Starting Page	1032
Ending Page	1035
File Size	391564
Page Count	4
File Format	PDF
ISBN	0780318803
DOI	10.1109/IMTC.1994.351928
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1994-05-10
Publisher Place	Japan
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Error correction Error correction codes Fast Fourier transforms Spectroscopy Encoding Noise measurement State estimation Aerodynamics Flexible printed circuits Additive noise
Content Type	Text
Resource Type	Article

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