NDLI: Distribution densities of the mantissa and exponent of floating point numbers

Content Provider	IEEE Xplore Digital Library
Author	Lacroix, A. Hartwig, F.
Copyright Year	1992
Description	Author affiliation: Inst. fuer Angewandte Phys., J.W. Goethe-Univ., Frankfurt am Main, Germany (Lacroix, A.; Hartwig, F.)
Abstract	The relations between the probability densities of real numbers and the corresponding mantissa and exponent densities in the floating point number format are investigated. Assumptions about continuity of the probability density of real numbers lead to certain restrictions in terms of the density of the mantissa. A few real number densities of practical importance were treated analytically and experimentally. During arithmetic operations like addition and multiplication which are essential for signal processing the operand density is altered. The effect concerning the densities of mantissa and exponent of the result is discussed. The reciprocal density of the mantissas plays a central role. Applications in roundoff-noise-analysis of signal processing with finite wordlength are considered.<>
Starting Page	1792
Ending Page	1795
File Size	269360
Page Count	4
File Format	PDF
ISBN	0780305930
DOI	10.1109/ISCAS.1992.230407
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1992-05-10
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Arithmetic Signal processing Probability density function Quantization Equations Piecewise linear techniques Density measurement Gaussian distribution
Content Type	Text
Resource Type	Article

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