0.15 Bibliography

Bibliography

In 1998 we especially recommended five books that complement this one. An excellent reference for the history, philosophy, and overview ofwavelet analysis has been written by Barbara Burke Hubbard [link] . The best source for the mathematical details of wavelet theory is byIngrid Daubechies [link] . Two good general books which starts with the discrete-time wavelet series and filter bank methods areby Martin Vetterli and Jelena Kovačević [link] and by Gilbert Strang and Truong Nguyen [link] . P. P. Vaiyanathan has written a good book on general multirate systems aswell as filter banks [link] .

Much of the recent interest in compactly supported wavelets was stimulated by Daubechies [link] , [link] , [link] , [link] and S. Mallat [link] , [link] , [link] and others [link] , [link] . A powerful point of view has been recently presented by D. L. Donoho, I. M.Johnstone, R. R. Coifman, and others [link] , [link] , [link] , [link] , [link] , [link] , [link] , [link] , [link] , [link] . The development in the DSP community using filters has come from Smith and Barnwell [link] , [link] , Vetterli [link] , [link] , [link] , [link] , and Vaidyanathan [link] , [link] , [link] . Some of the work at Rice is reported in [link] , [link] , [link] , [link] , [link] , [link] , [link] , [link] , [link] , [link] , [link] [link] , [link] , [link] , [link] , [link] Analysis and experimental work was done using the Matlab computer software system [link] , [link] . Overview and introductory articles can be found in [link] , [link] , [link] , [link] , [link] , [link] , [link] , [link] , [link] , [link] , [link] . [link] , [link] , [link] , [link] , [link] Two special issues of IEEE Transactions have focused on wavelet methods [link] , [link] . Books on wavelets, some of which are edited conference proceedings include [link] , [link] , [link] , [link] , [link] , [link] , [link] , [link] , [link] , [link] , [link] , [link] , [link] [link] , [link] , [link] , [link] , [link] , [link] , [link] , [link] , [link] , [link] [link] , [link] , [link] , [link] , [link] , [link] , [link] , [link] , [link] , [link] [link] , [link] , [link] , [link] , [link] , [link] .

In this 2015 revision, we add several new references. An excellent collection of basic wavelet research papers has been published by Heil and Walnut [link] , a very good modern signal procession book which is also available online is writtenby Kovačević, Goyal, and Vetterli [link] . Stéphane Mallat has written a comprehensive third revised edition of his book on Wavelets [link] . New work on lifting can be found in [link] , [link] , a general guide in [link] , and book on Frames [link] and a new book on sampling [link] .

Another way to keep up with current research and results on wavelets is to read the Wavelet Digest on the world-wide-web at: http://www.wavelet.org/ or the Rice DSP site at http://dsp.rice.edu/software