A METHOD OF SIGNAL DESIGN EMPLOYING SADDLE POINT INTEGRATION

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)

Document Details

Document Type
Technical Report
Publication Date
May 19, 1961
Accession Number
AD0258617

Entities

People

  • Ronald D. Haggarty

Organizations

  • Massachusetts Institute of Technology

Tags

DTIC Thesaurus Topics

  • Bandwidth
  • Equations
  • Integral Equations
  • Integrals
  • Mathematics
  • Stationary

Readers

  • Graph Algorithms and Convex Optimization.
  • Linear Algebra
  • Radar Systems Engineering.