Recursive digital filter

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G06F 1531

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active

045690308

ABSTRACT:
A recursive digital filter includes a first circuit 1 including a cascade arrangement of a magnitude truncation quantizing arrangement and an adder 6, 8. The first circuit has an output 5, and also inputs 3 and 4, output 5 being connected to the input 3 via a second circuit 10 and to the input 4 via a third circuit 11. Both last-mentioned circuits are formed by a cascade arrangement of an auxiliary circuit 12 and 14, respectively, and a multiplier arrangement 13 and 15, respectively. The auxiliary circuit 12 has a transfer function H.sub.1 (z)=p/(z-1) and the auxiliary circuit 14 has a transfer function H.sub.2 (z)=q/(z+1), wherein p and q represent constants.

REFERENCES:
patent: 3997770 (1976-12-01), Claasen et al.
patent: 4034196 (1977-07-01), Butterweck et al.
patent: 4236224 (1980-11-01), Chang
patent: 4361893 (1982-11-01), Bonnerot
Claasen et al, "Frequency Domain Criteria for the Absence of Zero-Input Limit Cycles in Nonlinear Discrete-Time Systems, with Applications to Digital Filters", IEEE Trans. on Circuits and Systems, vol. CAS-222, #3, pp. 232-239.
Claasen et al., "Second-Order Digital Filter with Only One Magnitude-Truncation Quantiser and Having Practically No Limit Cycles", Electronics Letters, vol. 9, Nov. 1st, 1973, #22, pp. 531-532.
Classen et al, "Effects of Quantization and Overflow in Recursive Digital Filters", IEEE Trans. on Acoustics, Speech, and Signal Processing, vol. ASSP-24, #6, Dec. 1976, pp. 517-529.

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