DocumentCode
3063465
Title
Finite word length error analysis based on basic formula of rounding operation
Author
Iwahashi, Masahiro ; Kiya, Hitoshi
Author_Institution
Nagaoka Univ. of Technol., Nagaoka
fYear
2009
fDate
8-11 Feb. 2009
Firstpage
1
Lastpage
4
Abstract
This report theoretically analyzes the lossless condition on word length such that errors due to rounding of signals and coefficients are nullified by the final rounding. Our analysis is based on mathematical expression of the rounding operation and its properties. According to our formulas, the minimum word length is determined for each input signal value. Results are more accurate than conventional L2 norm analysis.
Keywords
digital signal processing chips; roundoff errors; DSP circuit; digital signal processing; finite word length error analysis; rounding operation formula; Circuits; Communication systems; Digital signal processing; Error analysis; Large scale integration; Roundoff errors; Signal analysis; Signal generators; Signal processing; Wavelet analysis;
fLanguage
English
Publisher
ieee
Conference_Titel
Intelligent Signal Processing and Communications Systems, 2008. ISPACS 2008. International Symposium on
Conference_Location
Bangkok
Print_ISBN
978-1-4244-2564-8
Electronic_ISBN
978-1-4244-2565-5
Type
conf
DOI
10.1109/ISPACS.2009.4806763
Filename
4806763
Link To Document