Optimum Impulse Response and the van der Maas Function,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1971
- Accession Number
- AD0729412
Entities
People
- Gabor C. Temes
- Victor Barcilon
Organizations
- University of California, Los Angeles