Near canonic double-based number system (DBNS) with applications in digital signal processing

Vassil S. Dimitrov; Saeid Sadeghi-Emamchaie; Graham A. Jullien; W. C. Miller

doi:10.1117/12.255433

22 October 1996 Near canonic double-based number system (DBNS) with applications in digital signal processing

Vassil S. Dimitrov, Saeid Sadeghi-Emamchaie, Graham A. Jullien, W. C. Miller

Proceedings Volume 2846, Advanced Signal Processing Algorithms, Architectures, and Implementations VI; (1996) https://doi.org/10.1117/12.255433
Event: SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation, 1996, Denver, CO, United States

Abstract

In this paper we explore a new number system which uses a double base. The representation of the numbers has a very simple geometric interpretation, allowing potentially fast implementation of the basic arithmetic operations. The transformation of the integers into minimal form, however, leads to some problems associated with transcendental number theory, and we identify and open the discussion on these problems. An intriguing implementation vehicle, which has some of the properties associated with symbolic substitution in optical computing, is the use of Cellular Neural Network (CNNs) to perform digital reduction. Brief details are presented on CNN implementation, and a system-level example is shown in order to justify the applicability of the proposed theory in digital signal processing.

Citation Download Citation

Vassil S. Dimitrov, Saeid Sadeghi-Emamchaie, Graham A. Jullien, and W. C. Miller "Near canonic double-based number system (DBNS) with applications in digital signal processing", Proc. SPIE 2846, Advanced Signal Processing Algorithms, Architectures, and Implementations VI, (22 October 1996); https://doi.org/10.1117/12.255433

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