Accession Number : ADA192589


Title :   Polynomials with Restricted Coefficients and Their Applications


Descriptive Note : Final rept. 6 Mar-30 Sep 1987


Corporate Author : PROMETHEUS INC MIDDLETOWN RI


Personal Author(s) : Byrnes, James S ; Newman, Donald J ; Goldstein, Martin


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a192589.pdf


Report Date : Jan 1987


Pagination or Media Count : 146


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.


Descriptors :   *ANTENNA RADIATION PATTERNS , *BEAM STEERING , THEORY , MATHEMATICAL FILTERS , LIMITATIONS , COEFFICIENTS , POLYNOMIALS , ANTENNAS , YIELD , COMPLEX VARIABLES , UNDERWATER ACOUSTICS , PARABOLAS , ADAPTIVE FILTERS , NULLS(AMPLITUDE) , DOPPLER SYSTEMS , EQUATIONS , COMPENSATION


Subject Categories : Radiofrequency Wave Propagation


Distribution Statement : APPROVED FOR PUBLIC RELEASE