Finite length discrete matched filters
Abstract
The Matched Filter (MF) is well known to be the linear detector that has the maximum output SignaltoNoise Ratio (SNR). The problem of finding the minimum filter length in discrete time to achieve a certain level of performance is considered when there is some freedom in choosing a signal shape. Upper and lower bounds on the SNR are given in terms of the eigenvalues of the noise covariance matrix. Since these bounds are rather difficult to compute, looser, but easier to compute, bounds are given. Several examples are presented which illustrate the exact and approximate bounds.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 January 1986
 Bibcode:
 1986STIN...8626531M
 Keywords:

 Eigenvalues;
 Linear Arrays;
 Matched Filters;
 Signal Detection;
 Signal Detectors;
 Signal To Noise Ratios;
 Length;
 Shapes;
 Time;
 Electronics and Electrical Engineering