An optimization procedure to minimize the roundoff noise in cascade floating-point digital filters

Kawarai, S.; Murakami, Takahiro

doi:10.1109/icassp.1989.266570

Cited by 2 publications

(1 citation statement)

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“…Various distributions have been used to model roundoff errors in the signal processing area: uniform distribution in Press [8], Barnes et al [2], Wong [11], Vladimirov and Diamond [9], Csordas et al [3]; normal distribution in Ardalan and Alexander [1], Yu and Lim [12]; trapezoidal distribution in Kawarai and Murakami [6]; triangular distribution in Csordas et al [3]; the sinusoidal distribution, the convolution of triangular and uniform distributions and the convolution of triangular and triangular distributions in Widrow and Kollar [10]. The derived formulas for the general moment can be used to provide basic measures of roundoff error for each of these distributions.…”

Section: Introductionmentioning

confidence: 99%

General moments of roundoff error

Wiegand

Nadarajah

2019

Communications in Statistics - Simulation and Computation

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Li and Nadarajah [Signal Processing 127 (2016) 185-190] derived expressions for mean and variance of roundoff error for any continuous random variable. Here, we derive expressions for general moment of the roundoff error, allowing one to study other aspects of roundoff error than just mean and variance. The expressions are specialised for ten commonly used distributions in signal processing. Numerical studies checking the correctness of the derived expressions are given.

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Section: Introductionmentioning

confidence: 99%

General moments of roundoff error

Wiegand

Nadarajah

2019

Communications in Statistics - Simulation and Computation

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Floating-point arithmetic in signal processing

Kontro

Kalliojarvi

Neuvo

[Proceedings] 1992 IEEE International Symposium on Circuits and Systems

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The use of floating-point arithmetic in digital signal processing is considered in this paper. First, an introduction to floating-point arithmetic based on the IEEE floating-point standards is given. Then, finite wordlength effects of these arithmetic systems are presented. Finally floating-point hardware is discussed. Special emphasis in this paper is on audio applications. As an example, amplitude distributions and signal-to-noise ratios of quantized music are considered, and audio standards using floatingpoint arithmetic are presented. 1784 0-7803-0593-0/92 $3.00 1992 IEEE S.H. Ardalan, "Floating-point error analysis of recursive least-squares and least-mean-squares adaptive filters," IEEE %ns.

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An optimization procedure to minimize the roundoff noise in cascade floating-point digital filters

Cited by 2 publications

References 7 publications

General moments of roundoff error

General moments of roundoff error

Floating-point arithmetic in signal processing

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