Accession Number : AD0628554

Title :   EVALUATION OF THE DETERMINANTAL POLYNOMIAL OF A MATRIX OF POLYNOMIAL ELEMENTS AND AN APPLICATION TO AMTI RADAR,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Liechenstein,M. I.

Report Date : JAN 1966

Pagination or Media Count : 129

Abstract : The requirement to expand the determinant of a matrix whose elements are polynomials of a common variable is encountered frequently in system analyses and optimizations. Inasmuch as this generalized eigenvalue problem is pertinent in studies of system behavior and synthesis for a broad class of systems, it is desirable to secure a computational technique, amenable to both manual and machine execution, which enables efficient calculation of the coefficients of a determinantal polynomial. To this end, an algorithm is derived, computer programs detailed, and tables provided in this Memorandum which accomplish the polynomial evaluation predominantly by reference to established tables. The particular application which motivated the computationaltechnique detailed in this memorandum arose from renewed inquiry into problems of airborne radar signal synthesis. The need to evaluate the determinantal polynomial and roots of matrices is found in the design equations for processors of signals in airborne moving target indicator (AMTI) pulse doppler radars. The relevance of the algorithm to the construction of AMTI systems with characteristics enhancing detection of objects over land is clarified in this memorandum through the discussion of a generalized delay-line canceler signal processing scheme. (Author)

Descriptors :   (*POLYNOMIALS, MATRICES(MATHEMATICS)), (*DETERMINANTS(MATHEMATICS), POLYNOMIALS), (*RADAR SIGNALS, SYNTHESIS), AIRBORNE, MOVING TARGET INDICATORS, DETECTION, ALGORITHMS

Subject Categories : Operations Research
      Active & Passive Radar Detection & Equipment

Distribution Statement : APPROVED FOR PUBLIC RELEASE