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Acoustics: Sound Fields, Transducers and Vibration, 2nd Edition by Tim Mellow, Leo Beranek

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Appendix I

Frequency response shapes for loudspeakers [1]

Abstract
Means for obtaining high-pass filter functions using (1) Bessel polynomials, (2) Butterworth polynomials, and (3) Chebyshev polynomials are covered in this appendix.
Keywords: Bessel polynomials; Butterworth polynomials; Chebyshev polynomials; Frequency; High-pass filter; Ripple factor.
In the following high-pass filter functions G(s), the order of the function is denoted by N and the frequency at which the magnitude of the response is 1 / 2 image (that is, 3   dB below the pass band level) is denoted by ω 3dB.

Synchronous

G ( s ) = ( s s + ω

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