Synthesis of optimum singlechannel discrete signals and filters
Abstract
Synthesis of optimum discrete signals and filters for singlechannel processing, specifically signals with linear frequencymodulation of the phase, is considered on the basis of the quadratic optimality criterion. In the case of signals with a reciprocal indeterminacy function, the problem reduces to finding the complex signal and filter envelopes which will maximize the cresttovalley ratio in the timefrequency plane. The most typical five variants of the problem are: (1) with the signal vector given, find the filter vector which maximizes that ratio; (2) find both signal and filter vectors which will maximize that ratio; (3) with absolute values of the signal given, find both signal and filter vectors which will maximize that ratio; (4) with the filter matched to the signal, find the signal vector which maximizes that ratio; and (5) with the filter matched to the signal and absolute values of the signal given, find the signal vector which will maximize that ratio. A suboptimum procedure is proposed for solving these problems, a procedure less unwieldy than optimal solution and based on minimization of the proximity criterion. As such a criterion is regarded the distance between the law of signal phase modulation and the sought signal in the L(2) space.
 Publication:

USSR Rept Electron Elec Eng JPRS UEE
 Pub Date:
 January 1985
 Bibcode:
 1985RpEEE........9K
 Keywords:

 Electric Filters;
 Frequency Modulation;
 Phase Modulation;
 Signal Processing;
 Optimization;
 Problem Solving;
 Ratios;
 Vectors (Mathematics);
 Communications and Radar