DSP Books and Articles
 
Steven W. Smith, The Scientist and Engineer's Guide to Digital Signal Processing, California Technical Publishing, USA.
Available On-line
Antoniou, A., (1993), Digital Filters : Analysis, Design and Applications, McGraw-Hill, USA.
Excellent reference
Bellanger, M., (1984), Digital Processing Of Signals, Theory And Practice, John Wiley & Sons, UK
A classic book in the UK.
Brigham, E. O. and Cecchini, L. R., A Nomogram for Determining FFT System Dynamic Range, E-Systems Inc., USA.
Burrus, C. S. and Parks, T. W., (1985), DFT/FFT and Convolution Algorithms, Wiley Interscience, NY, USA.
Cooley, J.W. and Tukey, J.W., (1965), An Algorithm for the Machine Calculation of Complex Fourier Series, Mathematics of Computation, The American Mathematical Society, USA.A classic reference.
Cowan, C. F. N. and Grant, P. M., (1985), Adaptive Filters, Prentice-Hall Inc., USA.
Dahnoun, N., (2000), Digital Signal Processing Using the TMS320C6000 platform, Prentice Hall, ISBN: 0-201-61916-4.
Defatta, D. J., Lucas, J. G. and Hodgkiss, W. S., (1988), Digital Signal Processing - A System Design Approach, John Wiley & Sons Inc., USA.

Ewers, G. and Marven, C. A Simple Approach to Digital Signal Processing, Texas Instruments Inc., ISBN : 0-904047-00-8.
An introductory book on DSP.
Haddad, R. A., and Parsons, T. W., (1991), Digital Signal Processing - Theory, Applications and Hardware, Computer Sciences Press, USA.
Hamming, R. W., (1989), Digital Filters, Prentice-Hall Inc., USA.
Haykin, S., (1991), Adaptive Filter Theory, Prentice-Hall Inc., USA.
THE reference book for adaptive filtering, a key technique in today's systems.
Kay, Modern Spectral Estimation, Prentice-Hall Inc., USA
Knuth, D. E., (1981), Seminumerical Algorithms, vol 2 of The Art of Computer Programming, Addison-Wesley, USA.THE reference book for algorithms in North America.
Lyons R. G., (1999), Understanding Digital Signal Processing, Addison-Wesley, USA.
An excellent introductory book on DSP.
Marple, Digital Spectral Analysis with Applications, Prentice-Hall Inc., USA
McKeown, G.P. & Rayward-Smith, V.J., (1983), Mathematics for Computing, Macmillan, UK
Nussbaumer H., Fast Fourier Transform and Convolution Algorithms
Oppenheim, A. V. and Schafer, R. W., (1989), Discrete Time Signal Processing, Prentice-Hall Inc., USA.
A follow up to the BIBLE (Digital Signal Processing, by the same authors).
Proakis, J. G., and Manolakis, D. G., (1992), Digital Signal Processing - Principles, Algorithms and Applications (2ed), Prentice-Hall, USA.
All Hail Proakis! An excellent book and a very trusted author if you see other books by him.
Proakis, J. G., Rader C. M., Ling, F. and Nikias, C. L., (1992), Advanced Digital Signal Processing, Macmillan Inc., USA.
An excellent book
Qian, S and Chen, D., (1996), Joint Time-Frequency Analysis, Prentice-Hall Inc., USA.

Stein, Jonathan (Y), Digital Signal Processing, A Computer Science Perspective, John Wiley and Sons, USA. (ISBN 0-471-29546-9) A good book
Strang, G. and Nguyen T., (1997), Wavelets And Filter Banks, Wellesley Cambridge Press, USA.
Excellent book in this narrow area.
Yang, S.J. and Ellison, (1985), Machinery Noise Measurement, Oxford Science Publications, UK.
Digital Signal Processing: Engineering Applications, Academic Press, USA.
 
DSP Papers And Applications Notes
Harris, F.J., (1978), On The Use of Windows For Harmonic Analysis With the Discrete Fourier Transform, Proc. Inst. Electrical and Electronic Engineers, January.
A classic DSP paper.
Park, S., (1990), Principles of Sigma-Delta Modulation for Analog-to-Digital Converters, Motorola Inc., USA.

Sorensen, H. V., Jones, D. L., Heideman, M. T. & Burrus, C. S., (1987), and Sig. Proc., Vol ASSP-35, No Real-valued Fast Fourier Transform Algorithms, IEEE Tran. Acoustics, Speech 6 pgs 849-863. (1981)
Another classic and exceptionally useful for microcontroller and dsc developers.
Interpolation and Decimation of Digital Signals - A Tutorial Review, Proceeedings of the IEEE, vol 69 No 3, pgs 300-331