Accession Number : ADA323658

Title :   Theory and Design of Optimum Fir Compaction Filters,

Corporate Author : CALIFORNIA INST OF TECH PASADENA DEPT OF ELECTRICAL ENGINEERING

Personal Author(s) : Vaidyanathan, P. P. ; Kirac, Ahmet

PDF Url : ADA323658

Report Date : 1996

Pagination or Media Count : 35

Abstract : Energy compaction filters have attracted considerable attention due in part, to the fact that they are the building blocks of optimal orthonormal (paraunitary) filter banks. In this paper we introduce some new design techniques for optimum M-channel FIR compaction filters for a given input power spectrum. Some properties of the optimum FIR compaction filters and the corresponding maximum compaction gains are also derived. For the design part, a modification of the well-known linear programming technique is considered. We also consider multistage (IFIR) designs of compaction filters. A new, efficient design method called the window method is then introduced. The method generates M-channel FIR compaction filters for any given power spectrum. Although it is suboptimal, no optimization tools of any kind are involved and the algorithm terminates in a finite number of elementary steps. As the filter order increases, the window method produces compaction gains that are very close to the optimal ones. We give a necessary condition for a compaction filter to be optimum and provide some bounds on the maximum compaction gains. Finally we propose an analytical method for the two channel case which finds the optimum FIR compaction filters for a class of random processes.

Descriptors :   *INFRARED FILTERS, ALGORITHMS, OPTIMIZATION, LINEAR PROGRAMMING, POWER SPECTRA, DUAL CHANNEL, FOURIER SPECTROSCOPY, COMPACTING.

Subject Categories : Infrared Detection and Detectors

Distribution Statement : APPROVED FOR PUBLIC RELEASE