TRANSMISSION AND MECHANIZATION ASPECTS OF RESIDUE CODED SIGNALS.
Abstract
The major objective of this study program is to determine if residue encoded numbers are beneficial in telecommunication systems. The transmission efficiency and possibilities of error correction using this unique numbering system are explored. Also, the techniques required for mechanization of logical and arithmetic processes that may be required in such transmission systems utilizing residue coded numbers are investigated. The mechanization portion of this study considers logic circuits, coincident current core, and diode matrices as the possible ways to implement arithmetic and logic operations. In the logic circuit investigation, the necessary logical equations are generated from Karnaugh maps representing the desired operations. The resulting equations are subjected to a minimization procedure to ensure that minimum sums are obtained and thereby approach minimum circuit requirements. This process is carried out for both addition and multiplication operations of binary and Gray encoded residue numbers. The inquiry into circuit requirements using either coincident current cores or diode matrices employs a parallel representation of the residue coded number, and the circuit requirements are evaluated on the basis of matrix size. The results to date indicate that a logic circuit is the most efficient way to physically implement the arithmetic operations of addition, subtraction, multiplication; the division process presents problems which have yet to be solved. Also, a number may be represented more efficiently with a number of small bases than with a fewer number of large bases. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1961
- Accession Number
- AD0631324
Entities
People
- E. H. Gavenman
- R. A. Yocke
Organizations
- Lockheed Martin Missiles and Space