Polynomials with Restricted Coefficients and Their Applications
Abstract
Certain design restrictions growing out of antenna theory yield a beautiful class of complex variables problems. Our work was devoted to formulating these problems in mathematical terms, solving some of them, and beginning work on the others. One important result achieved was the development of a new method of estimating Gaussian-type exponential sums. Improvements of our previous results in null steering and notch filtering were also attained. Other findings were obtained in the areas of: the robustness of polynomials with unimodular coefficients; the effect of errors in such standard and crucial approximations as the far-field, Fresnel, and Doppler compensation; the effect of errors in the noise covariance matrix; and the Parabolic Equation Method in underwater acoustics.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1987
- Accession Number
- ADA192589
Entities
People
- Donald J. Newman
- James S. Byrnes
- Martin Goldstein