Title :
Fast characterization of the noise bounds derived from coefficient and signal quantization
Author :
López, J.A. ; Carreras, Carlos ; Caffarena, Gabriel ; Nieto-Taladriz, O.
Author_Institution :
ETSI Telecomunicacion, Univ. Politecnica de Madrid, Spain
Abstract :
This paper presents a new method for computing the absolute noise bounds caused by quantization of coefficients and signals in fixed-point implementation of digital filters. A tool based on refined interval-based computations has been enhanced to calculate with reduced computational cost the implications of both effects in the finite wordlength behavior of the specific realizations. Finally, a particular filter realization is quantized using different wordlengths and the computed bounds are presented for comparison.
Keywords :
Butterworth filters; IIR filters; circuit noise; circuit stability; digital filters; fixed point arithmetic; quantisation (signal); roundoff errors; N-order IIR stable filter; absolute noise bounds; asymptotic stability; coefficient quantization; digital filters; finite wordlength behavior; fixed-point implementation; interval simulation; refined interval-based computations; roundoff noise; second-order Butterworth filter; signal quantization; Cameras; Computational efficiency; Computational modeling; Digital filters; Frequency; IIR filters; Limit-cycles; Quantization; Telecommunication computing; Telecommunication standards;
Conference_Titel :
Circuits and Systems, 2003. ISCAS '03. Proceedings of the 2003 International Symposium on
Print_ISBN :
0-7803-7761-3
DOI :
10.1109/ISCAS.2003.1205835
