ISCAS'99. Proceedings of the 1999 IEEE International Symposium on Circuits and Systems VLSI (Cat. No.99CH36349)

DOI: 10.1109/iscas.1999.778850

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Suppression of overflow limit cycles in LDI allpass/lattice filters

Lennart Harnefors

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Cited by 4 publications

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“…It then remains to be shown that P is positive definite for the multiplier values satisfying (16), (18), and (19). We have…”

Section: Stability Analysismentioning

confidence: 99%

“…(x) is guaranteed to be positive for x 6 = 0 if the inequalities in(16),(18), and(19) are sharpened to strict ones.…”

mentioning

confidence: 99%

See 1 more Smart Citation

Suppression of overflow limit cycles in LDI all-pass/lattice filters

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2000

IEEE Trans. Circuits Syst. I

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In this paper it is shown that zero-input overflow limit cycles can be suppressed in a class of lossless digital integrator (LDI) all-pass filters, namely, that introduced in [1]. This holds for any filter order, provided that saturation overflow characteristics are used at the input of each delay and for certain restrictions for the multiplier values. The results are shown to apply also to lossless digital differentiator (LDD) filters. The restrictions of multiplier values have the effect of excluding certain combinations of poles within the unit circle, most of which are in the left half circle where corresponding LDD filters can be used. Asymptotic stability can be guaranteed for all second-order LDI and LDD filters.

“…It then remains to be shown that P is positive definite for the multiplier values satisfying (16), (18), and (19). We have…”

Section: Stability Analysismentioning

confidence: 99%

“…(x) is guaranteed to be positive for x 6 = 0 if the inequalities in(16),(18), and(19) are sharpened to strict ones.…”

mentioning

confidence: 99%

Suppression of overflow limit cycles in LDI all-pass/lattice filters

¹

,

2000

IEEE Trans. Circuits Syst. I

Self Cite

View full text Add to dashboard Cite

In this paper it is shown that zero-input overflow limit cycles can be suppressed in a class of lossless digital integrator (LDI) all-pass filters, namely, that introduced in [1]. This holds for any filter order, provided that saturation overflow characteristics are used at the input of each delay and for certain restrictions for the multiplier values. The results are shown to apply also to lossless digital differentiator (LDD) filters. The restrictions of multiplier values have the effect of excluding certain combinations of poles within the unit circle, most of which are in the left half circle where corresponding LDD filters can be used. Asymptotic stability can be guaranteed for all second-order LDI and LDD filters.

Quantization noise analysis of wave digital and lossless digital integrator allpass/lattice filters

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1999

1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258)

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A comparison of quantization noise levels of LDI and wave digital circulator allpass filters

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ISCAS'99. Proceedings of the 1999 IEEE International Symposium on Circuits and Systems VLSI (Cat. No.99CH36349)

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No abstract

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