Signal processing with discrete Fourier transform (DFT) works well in standard settings, but is unsatisfying for rapid changes in signal spectra. We illustrate and analyze this phenomenon, develop a novel transform and prove its close relation to the Laplace transform. We deploy our transform for deriving a replacement for the sliding window DFT. Our approach features transient effect and hence shows more natural response to rapid spectral changes.

Paper: PDF
Slides: TransientEffects.pdf
Video Recording: See http://lad.linuxaudio.org/events/2009_cdm/videos/
Homepage: http://www.soundpaint.org