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» Interval Arithmetic and Standardization
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JCSS
2010
105views more  JCSS 2010»
13 years 6 months ago
Fast convolution and Fast Fourier Transform under interval and fuzzy uncertainty
Convolution y(t) = a(t − s) · x(s) ds is one of the main techniques in digital signal processing. A straightforward computation of the convolution y(t) requires O(n2) steps, wh...
Guoqing Liu, Vladik Kreinovich
ARITH
2009
IEEE
14 years 2 months ago
A Decimal Floating-Point Adder with Decoded Operands and a Decimal Leading-Zero Anticipator
The IEEE 754-2008 Standard for Floating-Point Arithmetic was officially approved this year. One of the most
Liang-Kai Wang, Michael J. Schulte
SAS
2010
Springer
159views Formal Methods» more  SAS 2010»
13 years 6 months ago
Automatic Abstraction for Intervals Using Boolean Formulae
c Abstraction for Intervals Using Boolean Formulae J¨org Brauer1 and Andy King2 1 Embedded Software Laboratory, RWTH Aachen University, Germany 2 Portcullis Computer Security, Pin...
Jörg Brauer, Andy King
ARITH
2003
IEEE
14 years 27 days ago
The Case for a Redundant Format in Floating Point Arithmetic
This work uses a partially redundant number system as an internal format for floating point arithmetic operations. The redundant number system enables carry free arithmetic opera...
Hossam A. H. Fahmy, Michael J. Flynn
CPM
2006
Springer
107views Combinatorics» more  CPM 2006»
13 years 11 months ago
Tiling an Interval of the Discrete Line
We consider the problem of tiling a segment {0, . . . , n} of the discrete line. More precisely, we ought to characterize the structure of the patterns that tile a segment and thei...
Olivier Bodini, Eric Rivals