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Computationally efficient algorithms for cyclic spectral analysis

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3 Author(s)
Roberts, R.S. ; Los Alamos Nat. Lab., NM, USA ; Brown, W.A. ; Loomis, H.H.

Two computationally efficient algorithms for digital cyclic spectral analysis, the FFT accumulation method (FAM) and the strip spectral correlation algorithm (SSCA), are developed from a series of modifications on a simple time smoothing algorithm. The signal processing, computational, and structural attributes of time smoothing algorithms are presented with emphasis on the FAM and SSCA. As a vehicle for examining the algorithms the problem of estimating the cyclic cross spectrum of two complex-valued sequences is considered. Simplifications of the resulting expressions to special cases of the cross cyclic spectrum of two complex-valued sequences, such as the cyclic spectrum of a single real-valued sequence, are easily found. Computational and structural simplifications arising from the specialization are described.<>

Published in:

Signal Processing Magazine, IEEE  (Volume:8 ,  Issue: 2 )