Graphic equalizers
First Claim
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1. A digital graphic equalizer, comprising:
- (a) a cascade of peak/notch filters F(1), F(2), . . . , F(N) where N is an integer greater than 1, and each of said filters has a transfer function which is a bilinear transform of an analog transfer function of the form
(s2+2K1/2α
ω
0s+ω
02s2)/(s2+2K−
1/2α
ω
0s+ω
02s2)with K a gain, α
a positive constant, and ω
0 an analog center frequency;
(b) wherein said center frequency corresponding to F(j) is equal to a band-edge frequency corresponding to F(j+1) and/or F(j−
1) for j=1, 2, . . . N, and wherein α
is the same for all of said filters.
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Abstract
Graphic equalizer as a cascade of equalization filters with the gain of each individual filter compensated for the gain leakage from other filters. A linear approximation allows individual filter gains to be set to give desired frequency responses.
54 Citations
8 Claims
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1. A digital graphic equalizer, comprising:
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(a) a cascade of peak/notch filters F(1), F(2), . . . , F(N) where N is an integer greater than 1, and each of said filters has a transfer function which is a bilinear transform of an analog transfer function of the form
(s2+2K1/2α
ω
0s+ω
02s2)/(s2+2K−
1/2α
ω
0s+ω
02s2)with K a gain, α
a positive constant, and ω
0 an analog center frequency;(b) wherein said center frequency corresponding to F(j) is equal to a band-edge frequency corresponding to F(j+1) and/or F(j−
1) for j=1, 2, . . . N, and wherein α
is the same for all of said filters.- View Dependent Claims (2, 3, 4, 5)
with K a gain and ω
0 an analog band-edge frequency; and(b) a high frequency shelf filter Fh coupled to said cascade, wherein said Fh has a transfer function which is a bilinear transform of an analog transfer function of the form
(K1/2s+ω
0)/(K−
1/2s+ω
0)with K a gain and ω
0 an analog band-edge frequency;(c) wherein for Fl the band-edge frequency equals the center frequency for F(1) and for Fh the band-edge frequency equals the center frequency for F(N).
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3. The equalizer of claim 1, further comprising:
(a) a controller coupled to said cascade, said controller operable to compute center frequency filter gains for said peak/notch filters with leak gain compensation from input desired center frequency filter gains for said peak/notch filters.
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4. The equalizer of claim 3, wherein:
(a) said leak gain compensation uses a linear approximation.
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5. The equalizer of claim 3, wherein:
(a) said leak gain compensation uses an iterated linear approximation.
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6. A method of digital signal processor for graphic equalizer control, comprising:
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(a) receiving a plurality of desired center frequency filter gains for a cascade of equalization filters, each of said filters has a transfer function which is a bilinear transform of an analog transfer function of the form
(s2+2K1/2α
ω
0s+ω
02s2)/(s2+2K−
1/2α
ω
0s+ω
02s2)with K a gain, α
a positive constant, and ω
0 an analog center frequency, wherein said center frequency corresponding to the cascade of equalization filters is equal to a band-edge frequency corresponding to F(j+1) and/or F(j−
1) for j=1, 2, . . . N, and wherein α
is the same for all of said filters;(b) converting said desired center frequency filter gains into compensated center frequency filter gains for said cascade, wherein said converting compensates for leak gains. - View Dependent Claims (7, 8)
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Specification