Title :
On the probability of resolution for the amplitude and phase estimation (APES) spectral estimator
Author :
Richmond, Christ D.
Author_Institution :
Lincoln Lab., MIT, Lexington, MA, USA
Abstract :
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).
Keywords :
array signal processing; direction-of-arrival estimation; frequency estimation; maximum likelihood estimation; phase estimation; APES algorithm resolution probability; ML frequency estimator; SNR; amplitude/phase estimation; direction of arrival estimation; maximum-likelihood complex amplitude estimator; random process power spectrum complex amplitude; resolution probability two point measure; spectral estimation; uniform linear arrays; Algorithm design and analysis; Amplitude estimation; Colored noise; Finite impulse response filter; Frequency estimation; Maximum likelihood estimation; Phase estimation; Random processes; Sensor arrays; Signal resolution;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 2005. Proceedings. (ICASSP '05). IEEE International Conference on
Print_ISBN :
0-7803-8874-7
DOI :
10.1109/ICASSP.2005.1416186
