Title :
An undecimated wavelet transform based detector for transients in 1/f noise
Author :
Liu, Thomas T. ; Fraser-Smith, Antony C.
Author_Institution :
Space, Telecommun. & Radiosci. Lab., Stanford Univ., CA, USA
Abstract :
We consider the detection in the presence of 1/f noise of a known transient signal of unknown amplitude, scale and delay. We introduce a generalized likelihood ratio test (GLRT) method based on pattern matching in the undecimated discrete wavelet transform (UDWT) domain. In many cases, the computational complexity of the detector can be reduced with minimal performance impact by limiting the pattern matching operations to locations in the UDWT domain that correspond to the existence of transform local maxima. As examples of our approach, we simulate the detection of transients that are modeled either by scaling functions, Gaussian functions, or two-sided exponential functions
Keywords :
1/f noise; Monte Carlo methods; computational complexity; discrete wavelet transforms; pattern matching; signal detection; transient analysis; 1/f noise; GLRT method; Gaussian functions; UDWT domain; computational complexity; generalized likelihood ratio test method; pattern matching; scaling functions; transform local maxima; transients; two-sided exponential functions; undecimated wavelet transform based detector; Computational complexity; Delay; Detectors; Discrete transforms; Discrete wavelet transforms; Noise level; Pattern matching; Testing; Wavelet domain; Wavelet transforms;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1999. Proceedings., 1999 IEEE International Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5041-3
DOI :
10.1109/ICASSP.1999.756189
