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Truncated Binary Multipliers With Variable Correction and Minimum Mean Square Error

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5 Author(s)
Petra, N. ; Dept. of Electron. & Telecommun. Eng., Univ. of Napoli Federico II, Naples, Italy ; De Caro, D. ; Garofalo, V. ; Napoli, E.
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Truncated multipliers compute the n most-significant bits of the n × n bits product. This paper focuses on variable-correction truncated multipliers, where some partial-products are discarded, to reduce complexity, and a suitable compensation function is added to partly compensate the introduced error. The optimal compensation function, that minimizes the mean square error, is obtained in this paper in closed-form for the first time. A sub optimal compensation function, best suited for hardware implementation, is introduced. Efficient multipliers implementation based on sub-optimal function is discussed. Proposed truncated multipliers are extensively compared with previously proposed circuits. Experimental results, for a 0.18 μm technology, are also presented.

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Circuits and Systems I: Regular Papers, IEEE Transactions on  (Volume:57 ,  Issue: 6 )