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On the number representation in sub-expression sharing
Linköping University, Department of Electrical Engineering, Electronics System. Linköping University, The Institute of Technology.ORCID iD: 0000-0003-3470-3911
2010 (English)In: International Conference on Signals and Electronic Systems, ICSES'10 - Conference Proceeding 2010,, 2010, p. 17-20Conference paper, Published paper (Refereed)
Abstract [en]

The core of many DSP tasks is Multiplication ofone data with several constants, i.e. in Digital filtering, image processing DCT and DFT. The Modern Portable equipments like Cellular phones and MP3 players which has DSP circuits,involve large number of multiplications of one variable with several constants (MCM) which leads to large area, delay and energy consumption in hardware. Multiplication operation can be realized using addition/subtraction and shifts without general multipliers. Different number representations are used in MCM algorithms and there are differnet views about different representations. Some of the authors termed the Canonic Signed Digit (CSD) representation as better for subexpression sharing. We have compared the results of CSD and Binary representations using our Generalized MCM Algorithm on Random Matrices and come to conclusion that binary representation is better compared to CSD when a system has multiple inputs and multiple outputs.

Place, publisher, year, edition, pages
2010. p. 17-20
Keywords [en]
Multiple Constant Multiplication (MCM), CanonicSigned Digit (CSD), Minimal Signed Digit (MSD).
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering
URN: urn:nbn:se:liu:diva-65504Scopus ID: 78649231460ISBN: 978-839047434-2 (print)OAI:, id: diva2:397319
International Conference on Signals and Electronic Systems, ICSES'10; Gliwice; 7 September 2010 through 10 September 2010; Category number CFP1057D-ART; Code 82386
Article number 5595265Available from: 2010-12-09 Created: 2011-02-08 Last updated: 2015-03-11

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