Title :
Average Walsh Power Spectrum for Periodic Signals
Author :
Dinstein, Its Hak ; Silberberg, Tuvia
Author_Institution :
Electrical Engineering Department, Ben Gurion University of the Negev, Beer-Sheva, Israel
Abstract :
A circular shift-invariant Walsh power spectrum for deterministic periodic sequences is defined. For a sequence with period N, the power spectrum is the average of the Walsh power spectra of all N possible distinct circular shifts. The Average Walsh Power Spectrum (AWPS) consists of (N/2) + 1 coefficients, each representing a distinct sequency. A fast transformation from the arithmetic autocorrelation function of a periodic sequence to its AWPS is presented.
Keywords :
Arithmetic; Autocorrelation; Automation; Character recognition; Discrete transforms; Erbium; Military computing; Random processes; Shape; Voltage; Walsh function; autocorrelation; average power spectrum; periodic signals;
Journal_Title :
Electromagnetic Compatibility, IEEE Transactions on
DOI :
10.1109/TEMC.1981.303982
