Programmable Power-of-two RNS Scaler and its Application to a QRNS Polyphase Filter

Gian Carlo Cardarilli (Invited author), Andrea Del Re (Invited author), Alberto Nannarelli (Invited author), Marco Re (Invited author)

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    The scaling operation, i.e. the division by a constant factor followed by rounding, is a commonly used technique for reducing the dynamic range in Digital Signal Processing (DSP) systems. Usually, the constant is a power of two, and the implementation of the scaling is reduced to a right shift. This basic operation is not easily implementable in the Residue Number System (RNS) due to its non positional nature. A number of different algorithms have been presented in the literature for the RNS scaling. In this paper, several RNS dynamic reduction techniques have been analyzed and the selected one is applied to a polyphase filter bank. A comparison of the filter bank scaled with RNS to binary and binary to RNS conversions, and the RNS scaled implementation is presented. A reduction of area and power consumption of about 30% for the scaling block is obtained.
    Original languageEnglish
    Title of host publicationProceedings of 2005 IEEE International Symposium on Circuits and Systems (ISCAS), Kobe (Japan)
    Publication date2005
    ISBN (Print)0-7803-8834-8
    Publication statusPublished - 2005
    Event2005 IEEE International Symposium on Circuits and Systems -
    Duration: 1 Jan 2005 → …


    Conference2005 IEEE International Symposium on Circuits and Systems
    Period01/01/2005 → …

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