″Discrete Time Signal Processing,″ by A.V. Oppenheim and R.W. Schafer, Prentice Hall, Third Edition. Book Store Link
Additional Material:
Notes on STFT, time-frequency tiling, and wavelets by Prof. Michael Gastpar
“Wavelets and Subband Coding” By Martin Vetterli and Jelena Kovacevic. Freely available here.
“Foundation of Signal Processing” and “Fourier and Wavelet Signal Processing” By Martin Vetterli, Jelena Kovacevic and Vivek Goyal version freely available Here
Articles and Links:
Covers various implementations of linear convolution using the DFT, including Overlap-Add and Overlap-Save.
The Scientist and Engineer's Guide to Digital Signal Processing
A great practical introduction to DSP (free to download)
Upsampling vs. Oversampling for Digital Audio
An article about the benefits of these techniques
Compressed sensing resources:
Compressed Sensing MRI introduction from Miki's website
Compressed Sensing MRI paper - general introduction with intuitive examples
Sparse MRI - more for readers with MRI background
Candes - general article with examples and theorems
Donoho - outlines compressed sensing theory with proofs