Title :
Finite-wordlength effects in the fast convolution
Author_Institution :
Siemens AG, Erlangen, Germany
Abstract :
For fixed and floating point number representation the different finite-wordlength effects in the fast convolution are described. Besides the rounding error, there exists another neglected error source. Due to coefficient quantization the behavior of the fast convolution FIR-filter becomes periodically time-variant. This leads to undesirable bifrequency transfer functions resulting in input signal dependent errors, particularly in the case of short coefficient wordlength where this error power outweighs the rounding noise power
Keywords :
FIR filters; convolution; digital arithmetic; digital filters; floating point arithmetic; transfer functions; FIR-filter; bifrequency transfer functions; coefficient quantization; convolution; finite-wordlength effects; fixed point number representation; floating point number representation; input signal dependent errors; periodically time-variant behaviour; rounding error; short coefficient wordlength; Convolution; Digital signal processing; Distortion; Finite impulse response filter; Frequency response; Proposals; Quantization; Roundoff errors; Transfer functions;
Conference_Titel :
Circuits and Systems, 1995., Proceedings., Proceedings of the 38th Midwest Symposium on
Print_ISBN :
0-7803-2972-4
DOI :
10.1109/MWSCAS.1995.504389
