Acousto-optic estimation of correlations and spectra using triple correlations and bispectra

Autor: Brian M. Sadler, Dale J. Smith, Georgios B. Giannakis
Rok vydání: 1992
Předmět:
Zdroj: Optical Engineering. 31:2139
ISSN: 0091-3286
DOI: 10.1117/12.58873
Popis: The relationships between lower and higher order cumulants of deterministic and random continuous signals are presented. This theory is used to develop time- and frequency-domain algorithms for the estimation of correlations (spectra) from triple correlations (bispectra) using acousto-optic processors. Cumulants are of interest because they are insensitive to a wide class of additive noises, including Gaussian noise of unknown covariance. Thus, noise-insensitive correlation (spectrum) estimates can be derived from higher order correlations (polyspectra). The potential for noise insensitivity is examined through the variance of power spectrum estimates based on conventional (second-order) and bispectrum statistics. A proof-of-principle experiment was carried out using an acousto-optic four-product processor to estimate the autocorrelation of a wideband periodic signal. The experimental data are compared with a simulation to validate the results.
Databáze: OpenAIRE