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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

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).

Original languageEnglish (US)
Title of host publication2005 IEEE ICASSP '05 - Proc. - Design and Implementation of Signal Proces.Syst.,Indust. Technol. Track,Machine Learning for Signal Proces. Signal Proces. Education, Spec. Sessions
PublisherInstitute of Electrical and Electronics Engineers Inc.
VolumeIV
ISBN (Print)0780388747, 9780780388741
DOIs
StatePublished - Jan 1 2005
Externally publishedYes
Event2005 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP '05 - Philadelphia, PA, United States
Duration: Mar 18 2005Mar 23 2005

Other

Other2005 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP '05
CountryUnited States
CityPhiladelphia, PA
Period3/18/053/23/05

Fingerprint

estimators
random processes
fast Fourier transformations
Approximation algorithms
Power spectrum
Random processes
Fast Fourier transforms
power spectra
Signal to noise ratio
signal to noise ratios
estimates
approximation

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Signal Processing
  • Acoustics and Ultrasonics

Cite this

Richmond, C. (2005). On the probability of resolution for the amplitude and phase estimation (APES) spectral estimator. In 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 (Vol. IV). [1416186] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICASSP.2005.1416186

On the probability of resolution for the amplitude and phase estimation (APES) spectral estimator. / Richmond, Christ.

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. Vol. IV Institute of Electrical and Electronics Engineers Inc., 2005. 1416186.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Richmond, C 2005, On the probability of resolution for the amplitude and phase estimation (APES) spectral estimator. in 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. vol. IV, 1416186, Institute of Electrical and Electronics Engineers Inc., 2005 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP '05, Philadelphia, PA, United States, 3/18/05. https://doi.org/10.1109/ICASSP.2005.1416186
Richmond C. On the probability of resolution for the amplitude and phase estimation (APES) spectral estimator. In 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. Vol. IV. Institute of Electrical and Electronics Engineers Inc. 2005. 1416186 https://doi.org/10.1109/ICASSP.2005.1416186
Richmond, Christ. / On the probability of resolution for the amplitude and phase estimation (APES) spectral estimator. 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. Vol. IV Institute of Electrical and Electronics Engineers Inc., 2005.
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