Toward Efficient Static Analysis of Finite-Precision Effects In DSP Applications via Affine Arithmetic Modeling (2003)  (Make Corrections)  
Claire Fang Fang, Rob A. Rutenbar, Markus Püschel, Tsuhan Chen

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Abstract: We introduce a static error analysis technique, based on smart interval methods from a#ne arithmetic, to help designers translate DSP codes from full-precision floating-point to smaller finite-precision formats. The technique gives results for numerical error estimation comparable to detailed simulation, but achieves speedups of three orders of magnitude by avoiding actual bit-level simulation. We show results for experiments mapping common DSP transform algorithms to implementations using... (Update)

Active bibliography (related documents):   More   All
2.4:   Floating-Point Error Analysis Based On Affine Arithmetic - Fang, Chen, Rutenbar (2003)   (Correct)
0.3:   Statistical Theory of Quantization - Widrow, Kollar, Liu (1995)   (Correct)
0.1:   Cooley-Tukey FFT Like Algorithms for the DCT - Püschel   (Correct)

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BibTeX entry:   (Update)

@misc{ fang-toward,
  author = "Claire Fang Fang and Rob A. Rutenbar and Markus Püschel and Tsuhan Chen",
  title = "Toward Efficient Static Analysis of Finite-Precision Effects In DSP Applications
    via Affine Arithmetic Modeling",
  url = "citeseer.nj.nec.com/fangfang03toward.html" }
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2   A prior worst case error bounds for floating-point computati.. (context) - Kramer - 1998
2   Lightweight floating-point arithmetic: Case study of inverse.. (context) - Fang, Chen et al. - 2002
2   Floating-point bit-width optimization for low-power signal p.. (context) - Fang, Chen et al. - 2002
2   Floating point arithmetic and digital filters (context) - Rao - 1992
1   Bounds for floating-point roundo# noise (context) - Laakso, Jackson - 1994
1   Floating-point roundo# noises of first- and second-order sec.. (context) - Tsai - 1997
1   Analog circuit sizing based on formal methods using a#ne ari.. (context) - Lemke, Hedrich et al. - 2002
1   noise in floating point and fixed point digital filter reali.. (context) - Weinstein, Oppenheim et al. - 1969

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