Limit cycles in state-space structures for digital filters
L. B. Jackson · IEEE Transactions on Circuits and Systems · 1979
It is shown that large quantization limit cycles are possible in state-space structures for digital filters with rounding, as opposed to magnitude truncation where such limit cycles can be avoided. The coupled-loop structure is considered specifically. The maximum limit-cycle amplitudes with rounding are obtained analytically for poles near the imaginary (or real)z-plane axis and by simulation for other regions of thez-plane.