Two Exponential Approximation Methods.
Abstract
Two different constructive techniques for approximating positive definite functions by means of finite exponential sums are explored. One technique constructs the coefficients and the exponents. The other technique constructs the exponents when the coefficients are all required to be equal. Both approximation techniques appear to be suitable for numerical computation. The techniques extend to completely monotonic functions as well. Error bounds are proved using elementary methods. In an application, these error bound can be used to eliminate some of the effort and guesswork previously necessary in two procedures for the design and synthesis of sparse broadband linear arrays. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 28, 1980
- Accession Number
- ADA092728
Entities
People
- Roy L. Streit
Organizations
- Naval Underwater Systems Center