
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