Title: Compressed fixed-point data formats with non-standard compression factors

Authors: Manuel Richey; Hossein Saiedian

Addresses: Engineering Services Department, CertTech (certtech.com), Lenexa, KS, 66215 USA ' Electrical Engineering and Computer Science, Information & Telecommunication Technology Center, University of Kansas (eecs.ku.edu), Lawrence, KS, 66049 USA

Abstract: Sign bit compression in fixed-point numbering systems can improve the dynamic range and round-off noise for signal processing algorithms. This paper analyses non-standard compression factors (CF) for compressed fixed-point data formats, where sign bit compression is performed on each individual fixed-point number. Although these compression techniques are applicable to other fixed-point formats, the compressed two's complement data format is selected for illustration. A brief background on compressed two's complement is provided. Obvious compression factors are powers of two due to binary formatting, but compression factors other than standard powers of two are presented. Compression factors of 3 and 5 are analysed in greater detail. Motivation for and advantages of non-power-of-two compression factors are identified.

Keywords: compression factors; digital signal processing; fixed-point data formats; multiple shift size mapping; sign bit compression; signal processing; variable shift field length.

DOI: 10.1504/IJSISE.2017.087981

International Journal of Signal and Imaging Systems Engineering, 2017 Vol.10 No.6, pp.301 - 305

Received: 22 Jul 2016
Accepted: 26 Jun 2017

Published online: 13 Nov 2017 *

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