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Theory and applications of the double-base number system

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3 Author(s)
Dimitrov, V.S. ; Helsinki Univ. of Technol., Espoo, Finland ; Jullien, G.A. ; Miller, W.C.

In this paper, we analyze some of the main properties of a double base number system, using bases 2 and 3; in particular, we emphasize the sparseness of the representation. A simple geometric interpretation allows an efficient implementation of the basic arithmetic operations and we introduce an index calculus for logarithmic-like arithmetic with considerable hardware reductions in lookup table size. We discuss the application of this number system in the area of digital signal processing; we illustrate the discussion with examples of finite impulse response filtering

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Computers, IEEE Transactions on  (Volume:48 ,  Issue: 10 )