Abstract: The disclosure involves the use of a library of modulated wavelet-packets which are effective in providing both precise frequency localization and space localization. An aspect of the disclosure involves feature extraction by determination of the correlations of a library of waveforms with the signal being processed, while maintaining, orthogonality of the set of waveforms selected (i.e. a selected advantageous basis). In a disclosed embodiment, a method is provided for encoding and decoding an input signal, comprising the following steps: applying combinations of dilations and translations of a wavelet to the input signal to obtain processed values; computing the information costs of the processed values; selecting, as encoded signals, an orthogonal group of processed values, the selection being dependent on the computed information costs; and decoding the encoded signals to obtain an output signal. The wavelet preferably has a plurality of vanishing moments.
Type:
Grant
Filed:
December 15, 1994
Date of Patent:
June 11, 1996
Assignees:
Yale University, Yves Meyer
Inventors:
Ronald Coifman, Yves Meyer, Mladen V. Wickerhauser
Abstract: The disclosure involves the use of a library of modulated wavelet-packets which are effective in providing both precise frequency localization and space localization. An aspect of the disclosure involves feature extraction by determination of the correlations of a library of waveforms with the signal being processed, while maintaining orthogonality of the set of waveforms selected (i.e. a selected advantageous basis). In a disclosed embodiment, a method is provided for encoding and decoding an input signal, such as an audio or video signal, comprising the following steps: applying combinations of dilations and translations of a wavelet to the input signal to obtain processed values; computing the information costs of the processed values; selecting, as encoded signals, an orthogonal group of processed values, the selection being dependent on the computed information costs; and decoding the encoded signals to obtain an output signal.
Type:
Grant
Filed:
May 18, 1990
Date of Patent:
January 24, 1995
Assignees:
Yale University, Yves Meyer
Inventors:
Ronald Coifman, Yves Meyer, Mladen V. Wickerhauser