Texts
Digital Signal Processing: Principles, Algorithms, and Applications. John G. Proakis and Dimitris G. Manolakis, Prentice Hall, ISBN 0-13-373762-4. Best for discrete-time/digital and signal processing material in the course (i.e., the final 11-12 weeks)UIUC ECE 410 Course Notes, A.C. Singer and D.C. Munson (2007).
An online module about DFT-based spectral analysis and the Matlab scripts that generated some of the figures on this page, windows.m and zeropad.m.
Recommended Reading
Linear Systems and Signals. B.P. Lathi. Berkeley-Cambridge Press. Particularly good on review of complex numbers and signals and matrices and vectors (Chapter B), analog Fourier series (Ch 6) and Fourier transforms (Ch 7), sampling (Ch 8), DTFT (Ch 9), DFT (Ch 8), and z-transform (Ch 5).DIGITAL SIGNAL PROCESSING by Thomas J. Cavicchi. Particularly good conceptual explanations and figures describing all concepts, but not many examples how to do the computations.
ANALOG AND DIGITAL SIGNAL PROCESSING by Ashok Ambardar. Good overview of signals (Ch 2), Fourier series (Ch 5), Fourier Transform (Ch 6,7), DFT and spectral analysis (Ch 12), z-transform (Ch 13), pole/zeros (Ch 13), filter design (Ch 14).
DIGITAL SIGNAL PROCESSING: A COMPUTER SCIENCE PERSPECTIVE by Jonathan Y Stein. Particularly good on signals, Fourier series and Fourier transform, STFT, and z-transform.
Supplemental Information
An online text about digital signal processingAn online chapter about complex numbers and their arithmetic, and their use in calculating amplitudes and phases of sinusoids
An online chapter with a very basic discussion of Fourier series, with nice visuals