Accession Number : AD0729412

Title :   Optimum Impulse Response and the van der Maas Function,

Corporate Author : CALIFORNIA UNIV LOS ANGELES NUMERICAL ANALYSIS RESEARCH

Personal Author(s) : Barcilon,Victor ; Temes,Gabor C.

Report Date : AUG 1971

Pagination or Media Count : 21

Abstract : The optimum impulse response of a bandlimited system, viz., the van der Maas function, is derived from considerations based on the theory of entire functions. The L (sup 2)-version of the optimization problem is also discussed. In particular, it is shown that there is no square integrable impulse response which is optimum in Chebyshev's sense since the van der Maas function, which is not square integrable, can be regarded as the limit of a sequence of square integrable functions. Some modified L (sup 2)-version of the optimization problem, in which weighted square integral measures of the side-lobes are prescribed, are also described. (Author)

Descriptors :   (*ANTENNAS, MATHEMATICAL MODELS), INTEGRAL TRANSFORMS, INEQUALITIES, BANDWIDTH, BESSEL FUNCTIONS, ASYMPTOTIC SERIES, NUMERICAL ANALYSIS, OPTIMIZATION

Subject Categories : Electrical and Electronic Equipment
      Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE