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An Algorithm for Bit-Serial Addition of SPT Numbers for Multiplierless Realization of Adaptive Equalizers
| Title: | An Algorithm for Bit-Serial Addition of SPT Numbers for Multiplierless Realization of Adaptive Equalizers |
| Authors: | Choudhary, Sunav Browse this author | | Mukherjee, Pritam Browse this author | | Chakraborty, Mrityunjoy Browse this author |
| Issue Date: | 4-Oct-2009 |
| Publisher: | Asia-Pacific Signal and Information Processing Association, 2009 Annual Summit and Conference, International Organizing Committee |
| Journal Title: | Proceedings : APSIPA ASC 2009 : Asia-Pacific Signal and Information Processing Association, 2009 Annual Summit and Conference |
| Start Page: | 438 |
| End Page: | 440 |
| Abstract: | The "sum of power of two (SPT)" is an effective format to represent multipliers in a digital filter which reduces the complexity of multiplication to a few shift and add operations. The canonic SPT is a special sparse SPT representation that guarantees occurrence of at least one zero between every two nonzero SPT bits. This paper presents a novel algorithm for bit serial addition of two numbers, each given in canonic SPT form, to produce a result also in canonic SPT. The proposed algorithm uses the properties of canonic SPT numbers effectively, resulting in considerable reduction of the hardware complexity of the bit serial adder. The algorithm is particularly useful for multiplier free realization of adaptive filters and equalizers, where the current weight vector and the update term, both presumed to be given in canonic SPT, are required to be added in a way that retains the canonic SPT format for the updated weight vector. |
| Description: | APSIPA ASC 2009: Asia-Pacific Signal and Information Processing Association, 2009 Annual Summit and Conference. 4-7 October 2009. Sapporo, Japan. Poster session: Signal Processing Theory and Methods I (6 October 2009). |
| Conference Name: | APSIPA ASC 2009: Asia-Pacific Signal and Information Processing Association, 2009 Annual Summit and Conference | | 2009年アジア太平洋信号情報処理連合学会アニュアルサミット・国際会議 |
| Conference Place: | Sapporo |
| Type: | proceedings |
| URI: | http://hdl.handle.net/2115/39736 |
| Appears in Collections: | 北海道大学サステナビリティ・ウィーク2009 (Sustainability Weeks 2009) > 2009年アジア太平洋信号情報処理連合学会アニュアルサミット・国際会議 (2009 APSIPA Annual Summit and Conference)
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