TY - GEN

T1 - On the probability of resolution for the amplitude and phase estimation (APES) spectral estimator

AU - Richmond, Christ D.

PY - 2005

Y1 - 2005

N2 - The Amplitude and Phase EStimation (APES) algorithm is a spectral estimation approach that estimates the complex amplitude of the power spectrum of a random process. Although its resolution performance has been observed to be slightly better than conventional FFT approaches, but quite inferior to super-resolution approaches like the Capon algorithm and MUSIC, no quantitative measure of resolution exists for the APES algorithm. This analysis provides a new exact two point measure of the large sample probability of resolution for the APES algorithm, as well as an approximation useful in capturing finite sample effects. This probability measure indicates that the APES algorithm resolution performance is fundamentally limited even in the limit of infinite signal-to-noise ratio (SNR).

AB - The Amplitude and Phase EStimation (APES) algorithm is a spectral estimation approach that estimates the complex amplitude of the power spectrum of a random process. Although its resolution performance has been observed to be slightly better than conventional FFT approaches, but quite inferior to super-resolution approaches like the Capon algorithm and MUSIC, no quantitative measure of resolution exists for the APES algorithm. This analysis provides a new exact two point measure of the large sample probability of resolution for the APES algorithm, as well as an approximation useful in capturing finite sample effects. This probability measure indicates that the APES algorithm resolution performance is fundamentally limited even in the limit of infinite signal-to-noise ratio (SNR).

UR - http://www.scopus.com/inward/record.url?scp=33646789871&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33646789871&partnerID=8YFLogxK

U2 - 10.1109/ICASSP.2005.1416186

DO - 10.1109/ICASSP.2005.1416186

M3 - Conference contribution

AN - SCOPUS:33646789871

SN - 0780388747

SN - 9780780388741

T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

SP - 1025

EP - 1028

BT - 2005 IEEE ICASSP '05 - Proc. - Design and Implementation of Signal Proces.Syst.,Indust. Technol. Track,Machine Learning for Signal Proces. Signal Proces. Education, Spec. Sessions

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2005 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP '05

Y2 - 18 March 2005 through 23 March 2005

ER -