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Optimization and Quantization Effects for Sine and Cosine Computation Using a Sum of Bit-Products
Linköping University, The Institute of Technology. Linköping University, Department of Electrical Engineering, Electronics System.ORCID iD: 0000-0003-3470-3911
Linköping University, The Institute of Technology. Linköping University, Department of Electrical Engineering, Electronics System.
Linköping University, The Institute of Technology. Linköping University, Department of Electrical Engineering, Electronics System.
2005 (English)In: Asilomar Conference on Signals, Systems, and Computers,2005, Piscataway, NJ: IEEE , 2005, 1347­- p.Conference paper, Published paper (Refereed)
Abstract [en]

Recently, a novel technique to compute sine and cosine has been proposed. By rewriting the expressions using trigonometric equations a weighted sum of bit-products is used to compute the values. This can then be mapped onto a bit-product generator followed by an adder tree. This provides an efficient architecture that can be pipelined to an arbitrary degree. It was shown in previous work that it is possible to remove a large portion of the bit-products and still obtain accurate results. The objective of this work is to study the effects of this removal and also the finite wordlength representation of the weights. Furthermore, optimization problems are formulated that can be used to minimize the maximum absolute error, the average absolute error, and the mean square error for the output values, respectively, as well as implementation complexity under error constraints.

Place, publisher, year, edition, pages
Piscataway, NJ: IEEE , 2005. 1347­- p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-34588Local ID: 22191OAI: oai:DiVA.org:liu-34588DiVA: diva2:255436
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2015-03-11

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Gustafsson, OscarJohansson, KennyWanhammar, Lars

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