Frequency warping with arbitrary allpass maps

Author

von Schroeter, Thomas

Author_Institution

Dept. of Comput., Imperial Coll. of Sci., Technol. & Med., London, UK

Volume

6

Issue

5

fYear

1999

fDate

5/1/1999 12:00:00 AM

Firstpage

116

Lastpage

118

Abstract

A method for the computation of spectra with nonuniform resolution using a preprocessed fast Fourier transform (FFT), due to Oppenheim et al. (1971), is reviewed and extended to arbitrary allpass distortion maps. The magnitude response and distortion properties of the resulting infinite impulse response (IIR) cascade are no longer coupled; the resulting choices for frequency response compensation, including losslessness and power conservation, are discussed. The complexity overhead due to preprocessing is essentially linear in the number of fast Fourier transform (FFT) channels.

Keywords

IIR filters; all-pass filters; computational complexity; fast Fourier transforms; filtering theory; frequency response; signal resolution; spectral analysis; DFT; FFT channels; IIR cascade; allpass distortion maps; complexity overhead; distortion properties; fast Fourier transform; frequency response compensation; frequency warping; infinite impulse response; losslessness; magnitude response; nonuniform resolution; power conservation; preprocessed FFT; spectra computation; Chirp; Discrete Fourier transforms; Discrete transforms; Distortion; Fast Fourier transforms; Frequency response; IIR filters; Interpolation; Sampling methods; Spectral analysis;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/97.755432

Filename

755432