Accession Number : AD0714280

Title :   Optimum Signals and the Uncertainty Principle,

Corporate Author : CALIFORNIA UNIV LOS ANGELES NUMERICAL ANALYSIS RESEARCH

Personal Author(s) : Barcilon,Victor

Report Date : 15 OCT 1970

Pagination or Media Count : 31

Abstract : The problem of finding an optimal signal g(t) which satisfies certain constraints in both the time and frequency domains is examined. Relying on the theory of entire functions, a general representation of g(t) in terms of prolate spheroidal wave functions is obtained which reduces the problem to the solution of a nonlinear integral equation. Particular examples illustrating the solution procedure are discussed. (Author)

Descriptors :   (*WAVE FUNCTIONS, FOURIER ANALYSIS), INFORMATION THEORY, SPECIAL FUNCTIONS(MATHEMATICAL), CALCULUS OF VARIATIONS, INTEGRAL TRANSFORMS, LINEAR PROGRAMMING, UNCERTAINTY, OPTIMIZATION, THEOREMS

Subject Categories : Statistics and Probability
      Cybernetics

Distribution Statement : APPROVED FOR PUBLIC RELEASE