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Non-linear addressing scheme for a lookup-based transformation function in a reconfigurable noise generator

Published: 04 September 2005 Publication History

Abstract

Noise generation is used in several application domains, and each one of them has its own requirements for the statistical properties of the noise signal. This paper presents an approach that allows flexible noise generation based on reconfigurable logic. Such approach uses transformation functions implemented as look-up tables in order to allow the transformation of uniformly distributed noise into noise signals having other probability density functions. A special case study is presented, where a non-linear lookup addressing scheme is proposed to minimize the error in the case of a transformation function with poles, as it is the case of the transformation from uniform to normal distribution.

References

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Dutra, Elvio. Analysis, Design and FPGA-Implementation of Chaotic Systems as Alternative for Gaussian Noise Generation. Darmstadt, Alemanha, 2004.
[2]
Hänsler, Eberhard: Statistische Signale: Grundlagen und Anwendungen. Springer, 1996.
[3]
Indrusiak, Leandro; Dutra, élvio; Glesner, Manfred. Advantages of the Linz-Sprott Weak Nonlinearity on the FPGA Implementation of Chaotic Systems: a Comparative Analysis. In: International Symposium on Signals, Circuits and Systems (ISSCS), Iasi, 2005.
[4]
Papoulis, Athanasios: Probability, Random Variables and Stochastic Processes. McGraw-Hill, 1991.
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Xilinx Inc.: System Generator for DSP version 3.1 - Quick Start Guide, Introductory Tutorials and Reference Guide.

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  • (2012)A programmable look-up table-based interpolator with nonuniform sampling schemeInternational Journal of Reconfigurable Computing10.1155/2012/6478052012(6-6)Online publication date: 1-Jan-2012

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  1. Non-linear addressing scheme for a lookup-based transformation function in a reconfigurable noise generator

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        cover image ACM Conferences
        SBCCI '05: Proceedings of the 18th annual symposium on Integrated circuits and system design
        September 2005
        271 pages
        ISBN:1595931740
        DOI:10.1145/1081081
        Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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        Publication History

        Published: 04 September 2005

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        Author Tags

        1. LUT
        2. addressing scheme
        3. gauss
        4. lookup-table
        5. noise
        6. noise generator
        7. normal distribution
        8. probability distribution function
        9. transformation function
        10. white noise

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        SBCCI05
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        SBCCI05: 18th Symposium on Integrated Circuits and System Design
        September 4 - 7, 2005
        Florianolpolis, Brazil

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        Overall Acceptance Rate 133 of 347 submissions, 38%

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        • (2012)A programmable look-up table-based interpolator with nonuniform sampling schemeInternational Journal of Reconfigurable Computing10.1155/2012/6478052012(6-6)Online publication date: 1-Jan-2012

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