Title :
Frequency warping with arbitrary allpass maps
Author :
von Schroeter, Thomas
Author_Institution :
Dept. of Comput., Imperial Coll. of Sci., Technol. & Med., London, UK
fDate :
5/1/1999 12:00:00 AM
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;
Journal_Title :
Signal Processing Letters, IEEE
