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Conclusions

We can note the following points regarding our single-sideband FIR filter design by means of direct Fourier intuition, frequency-sampling, and the window-method:

We can also note some observations regarding the optimal Chebyshev version designed by the Remez multiple exchange algorithm:

Practical application of Hilbert-transform filters to phase-vocoder analysis for additive synthesis is discussed in §G.10.


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``Spectral Audio Signal Processing'', by Julius O. Smith III, W3K Publishing, 2011, ISBN 978-0-9745607-3-1.
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Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
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