Digital equalizer capable of varying the center frequency, quali

Details Digital equalizer capable of varying the center frequency, quali Digital equalizer capable of varying the center frequency, quali

1980-09-15

1985-06-18

Malzahn, David H.

Boots, shoes, and leggings

G06F 1531

Patent

active

045244227

ABSTRACT:
A digital filter having a band-pass filter characteristic or a band-elimination characteristic is constructed by a designing procedure comprising a step in which a function H(z) is obtained from a Z-transform of a bi-quad transfer function H(s) in a Laplace transfer form comprising conjugate pairs of poles and zeros, and establishing a center frequency of the filter characteristic from the radius of a circle in the s-plane in which the poles and zeros of the bi-quad transfer function H(s) are on the same circle, a step in which a quality factor Q of the filter characteristic is established so as to satisfy the following two equations (I) and (II) in which .sigma..sub.1 is the real-axis projection part and .omega..sub.1 is the imaginary-axis projection part of the above two poles in the s-plane, and .sigma..sub.2 is the real-axis projection part and .omega..sub.2 is the imaginary-axis projection part of the above two zeros, and a step in which a gain at the center frequency of the filter characteristic is established from a ratio .sigma..sub.2 /.sigma..sub.1 of the real-axis projection part .sigma..sub.1 of the poles and the real-axis projection part .sigma..sub.2 of the zeros in the s-plane ##EQU1##

REFERENCES:
patent: 3619586 (1971-11-01), Hoff, Jr.
patent: 4305133 (1981-12-01), Amada et al.
Rader et al., "Digital Filter Design Techniques in the Frequency Domain", Proceedings of the IEEE, vol. 55, No. 2, Feb. 1967, pp. 149-171.
Nishimura et al., "Realizations of Digital Filters Using Generalized Multiple-Feedback Structure", Memoirs of the Faculty of Engineering, Kobe University, No. 24, Mar. 1978, pp. 127-139.

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