On The Probability Distribution Of Fixed-Point Multiplication

Ahmadi, Arash and Zwolinski, Mark (2008) On The Probability Distribution Of Fixed-Point Multiplication. In, IEEE International Conference on Electronics Circuits and Systems, IEEE, 25-28.


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The area, delay and power consumption of functional units all are dependent on the word-length of the processed data. Since choosing an optimum word-length is a tradeoff between design costs and accuracy, it is essential to have an accurate model of computational errors for each operation. Errors resulting from the output rounding or truncation of the functional units is generally considered as uniformly distributed over the error limits regardless to the functionality of the unit. This work presents an analysis of the probability distribution of a fixed-point multiplier and its output truncation error. simulations show that the uniform distribution assumption is violated in the case of truncation of a multiplication result of less than 8 bits.

Item Type: Conference or Workshop Item (Paper)
Additional Information: Event Dates: August 2008
ISBNs: 9781424421824 (print)
Keywords: Computer Arithmetic, Fixed-point, Multiplication, Computational Error
Divisions : Faculty of Physical Sciences and Engineering > Electronics and Computer Science > EEE
ePrint ID: 265772
Accepted Date and Publication Date:
August 2008Published
Date Deposited: 21 May 2008 13:53
Last Modified: 31 Mar 2016 14:11
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/265772

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