Title
Semi-parametric compression of piecewise smooth functions
Abstract
This paper introduces a new wavelet-based compression scheme that combines the use of linear approximation and parametric es- timation. Our proposed scheme differs from the conventional wavelet-based schemes in two ways: first, the encoder uses lin- ear approximation and second, the decoding process is non-linear as it is combined with parametric estimation. We consider a sim- ple model of one-dimensional (1-D) piecewise smooth function and show that, with our scheme, it is possible to achieve the same decay in the distortion-rate bound as conventional wavelet-based schemes that employ non-linear approximation. A practical compression al- gorithm that achieves the distortion bound and uses the new concept of sampling of signal with finite rate of innovation is also presented together with the simulation results.
Year
Venue
Keywords
2009
EUSIPCO
approximation theory,signal sampling,wavelet transforms,decoding process,nonlinear approximation,one-dimensional piecewise smooth function,parametric estimation,semi-parametric compression,wavelet-based compression scheme
Field
DocType
ISBN
Linear approximation,Mathematical optimization,Algorithm,Encoder,Decoding methods,Data compression,Smoothness,Distortion,Piecewise,Mathematics,Wavelet
Conference
978-161-7388-76-7
Citations 
PageRank 
References 
0
0.34
4
Authors
2
Name
Order
Citations
PageRank
Varit Chaisinthop100.34
Dragotti, P.L.251239.29