Title :
A bound on limit cycles in fixed-point implementations of digital filters
Author :
Sandberg, Irwin W. ; Kaiser, James F.
Author_Institution :
Bell Telephone Laboratories, Inc. Murray Hill, NJ, USA
fDate :
6/1/1972 12:00:00 AM
Abstract :
We present an upper bound on the rms value of self-sustained limit cycles in fixed-point implementations of digital filters. The bound can be easily evaluated for the important special case of sections of order two, and simulation results for this case show that the bound is a useful tool.
Keywords :
Digital filters; Limit-cycles; Milling machines; Quantization; Sampling methods; Telephony; Upper bound;
Journal_Title :
Audio and Electroacoustics, IEEE Transactions on
DOI :
10.1109/TAU.1972.1162366