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Optimizing imprecise fixed-point arithmetic circuits specified by Taylor Series through Arithmetic Transform

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2 Author(s)
Yu Pang ; Dept. of Electr. & Comput. Eng., Mcgill Univ., Montreal, QC ; Radecka, K.

We consider synthesis of arithmetic DSP circuits with finite precision fixed-point operations. The aim is to choose the lowest cost implementation that matches a real-valued specification within the allowed imprecision. Starting from Taylor series or real-valued polynomials, we demonstrate first a method to obtain satisfying implementations that uses intermediate arithmetic transform polynomials as an analytical apparatus suitable to precision analysis for both the quantization (bit-width) and approximation sources of imprecision. We then derive the precision optimization algorithm that explores multiple precision parameters in a branch-and-bound search.

Published in:

Design Automation Conference, 2008. DAC 2008. 45th ACM/IEEE

Date of Conference:

8-13 June 2008