Low-dimensional audio-rate control of FFT-based processing

While the use of the fast Fourier transform (FFT) for signal processing in music applications has been widespread, applications in real-time systems for dynamic spectral transformation have been quite limited. The limitations have been largely due to the amount of computation required for the operations. With faster machines, and with suitable implementation for frequency-domain processing, real-time dynamic control of high-quality spectral processing can be accomplished with great efficiency and a simple approach. This paper describe some previous work in dynamic real-time control of frequency-domain-based signal processing. Since the implementation of the FFT/IFFT is central to the approach and methods discussed, the authors provide a description of this implementation, as well as of the development environment used in their work.