Title :
A tiling of phase-space through self-convolution
Author :
Bharath, Anil Anthony
Author_Institution :
Dept. of Biol. & Med. Syst., Imperial Coll. of Sci., Technol. & Med., London, UK
fDate :
12/1/2000 12:00:00 AM
Abstract :
A novel tiling for Fourier half space is constructed using Erlang functions. This tiling is constructed by shifts in discrete-time and self-convolutions in the Fourier domain. We show that a subframe of this complex wavelet family can be used for the detection and characterization of events (step and peaks) in one-dimensional (1-D) discrete-time signals.
Keywords :
Fourier transforms; convolution; filtering theory; signal classification; signal detection; transients; 1D discrete-time signals; Erlang functions; Fourier half space tiling; complex filter family; complex wavelet family; discrete-time shifts; peaks detection; phase-space tiling; step detection; subframe; transient classification; transient detection; Detectors; Discrete wavelet transforms; Event detection; Fourier transforms; Frequency domain analysis; Gabor filters; Kernel; Signal analysis; Signal representations; Speech;
Journal_Title :
Signal Processing, IEEE Transactions on
