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A bound on limit cycles in fixed-point implementations of digital filters

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2 Author(s)
Sandberg, I. ; Bell Telephone Laboratories, Inc. Murray Hill, NJ, USA ; Kaiser, J.

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.

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Audio and Electroacoustics, IEEE Transactions on  (Volume:20 ,  Issue: 2 )