Fast design of good systolic systems
Abstract
Advanced high resolution methods for realtime signal processing require fast multiprocessor architectures, realized as Very Large Scale Integrated systems, for their implementation. A class of parallel architectures, systolic arrays, fulfills the demands of signal processing and at the same time conforms to the limitations of VLSI technology. The design of efficient systems of systolic arrays is an iterative process in which the information gathered from mapping algorithms onto hardware is influential in the development of the algorithms. Presently, the absence of mapping tools makes it extremely difficult to find good systolic implementations for many important problems. Often, one cannot do better than implementing structurally simple but numerically inferior algorithms, which is undesirable for most signal processing tasks. A methodology is proposed that automates the mapping of recurrence equations to processor arrays. Two aspects distinguish our methodology from extant work: (1) complex coupled systems of recurrence equations can be systematically treated, and (2) the resulting systolic systems are optimal. The proposed methodology takes as input recurrence equations describing the algorithm, along with certain desirable hardware features. A sophisticated optimization procedures is then applied to generate the description of optimal arrays that implement the algorithm. If there is no satisfactory implementation, the algorithm will have to be revised, in order to improve pipeliability, without sacrificing numerical stability.
 Publication:

Final Report
 Pub Date:
 January 1989
 Bibcode:
 1989yale.rept.....D
 Keywords:

 Architecture (Computers);
 Multiprocessing (Computers);
 Parallel Processing (Computers);
 Pipelining (Computers);
 Signal Processing;
 Systolic Arrays;
 Very Large Scale Integration;
 Algorithms;
 Computer Aided Mapping;
 Computer Systems Design;
 High Resolution;
 Iteration;
 Numerical Stability;
 Optimization;
 Real Time Operation;
 Electronics and Electrical Engineering