Accession Number : AD0258617

Title :   A METHOD OF SIGNAL DESIGN EMPLOYING SADDLE POINT INTEGRATION

Corporate Author : MASSACHUSETTS INST OF TECH LEXINGTON LINCOLN LAB

Personal Author(s) : HAGGARTY,RONALD D.

Report Date : 19 MAY 1961

Pagination or Media Count : 1

Abstract : The problem of specifying both the envelope of a radar's transmitted signal and the matched receiver output waveform involves the solution of an integral equation. Approximate solutions of the integral equation which are valid for the large Time-Bandwidth case are studied. First, a solution obtained by the Stationary Phase method of integration is reviewed, and some of its limitations examined. Then the stationary phase solution is extended by the use of Saddle Point Method of integration. The saddle point solution and a consideration of the assumptions necessary to obtain it is used to determine the restrictions on the use of the Stationary phase solution. In addition, an estimate of the time-bandwidth product necessary to yield a satisfactory result is made. (Author)

Descriptors :   *INTEGRAL EQUATIONS, *RADAR SIGNALS, INTEGRAL TRANSFORMS, NUMERICAL INTEGRATION, RADAR RECEIVERS, RADAR TRANSMITTERS, SERIES(MATHEMATICS), THEORY

Distribution Statement : APPROVED FOR PUBLIC RELEASE