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Adaptive Line Enhancer Used for Spectral Resolution. ALE Resolution of Two Sinusoids in the Presence of White Noise is Determined for Various Filter and Signal Parameters.
Technical rept. Oct 77-May 78,
NAVAL OCEAN SYSTEMS CENTER SAN DIEGO CA
Pagination or Media Count:
ALE spectral resolution was analyzed by using the solutions for the converged ALE weight vector. The functions abs. val. HOmega, QOmega, and SOmega each contain information pertaining to spectral resolution. When the bulk delay, Delta, is greater than 1, both abs. val. HOmega and SOmega experience more than one resolved-unresolved transition as the frequency separation between two sinusoids is decreased. This phenomemon is completely explained by the basic weight vector solution. By Marples criterion, the resolutions of abs. val. HOmega and QOmega were determined for various values of the filter length L and SNR. When the weight vector is known exactly, the abs. val. HOmega function provides better resolution than QOmega, particularly at high SNR. When the ALE weights contain noise, and particularly at high input SNR, abs. val. HOmega is superior to QOmega and SOmega for spectral resolution as shown by a Monte Carlo analysis whereas QOmega and SOmega are more accurate than abs. val. HOmega for determining sinusoid frequency. Author
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