Logarithmic detection with postdetection filtering
Abstract
An analysis is presented of the performance of a logarithmic detector followed by a lowpass filter, under the assumption of a large ratio of IF bandwidth to postdetection bandwidth. This allows for the probability of detection and similar quantities to be computed in a straightforward manner. The mean and variance of the filter output are found by first deriving the autocorrelation function of the logarithmic detector output and then obtaining the power spectral density. A useful engineering approximation is made for the variance which is valid for all signaltonoise ratios.
 Publication:

IEEE Transactions on Aerospace Electronic Systems
 Pub Date:
 January 1978
 DOI:
 10.1109/TAES.1978.308575
 Bibcode:
 1978ITAES..14...35R
 Keywords:

 Logarithmic Receivers;
 Low Pass Filters;
 Radar Filters;
 Signal Detection;
 Intermediate Frequencies;
 Power Spectra;
 Signal To Noise Ratios;
 Communications and Radar