Accession Number:

ADA273027

Title:

Sampling Requirements and Aliasing for Higher-Order Correlations

Descriptive Note:

Journal rept.

Corporate Author:

NAVAL RESEARCH LAB STENNIS SPACE CENTER MS

Report Date:

1993-10-01

Pagination or Media Count:

15.0

Abstract:

While sampling at a Nyquist frequency equal to the highest frequency present in the data critical sampling is sufficient to prevent aliasing in both the data and the autocorrelation of a bandlimited energy signal, the sampling requirements for the avoidance of aliasing in higher-order correlations and spectra are not the same. Also, there is a difference in aliasing effects depending on whether one samples the original continuous-time signal and calculates the autocorrelation or one samples the continuous-time autocorrelation. This distinction between sampling procedures must be made for correlations of higher order, as well, for which not only the type of aliasing but also the sampling requirements to prevent aliasing differ. In particular, if one samples the continuous-time autobicorrelation or autotricorrelation, critical sampling is sufficient to prevent aliasing. In practice, however, it is not usually the continuous-time autobiocorrelation or autotricorrelation that is sampled. Generally, it is the original continuous-time signal that is sampled and used to calculate the discrete-time autobicorrelation or autotricorrelation. Transients, Distributed sensors, Coherence, Detection, Classification

Subject Categories:

  • Acoustic Detection and Detectors

Distribution Statement:

APPROVED FOR PUBLIC RELEASE