Prior to your own research on the project of your choice, you must acquire the basic knowledge on the subject. You should read the following books to get ready for your research. These books cover a wide range of subjects. If you find interesting topics and open problems you want to pursue, talk to me about your research plan.

General Research Techniques

• Wayne C. Booth, Gregory G. Colomb and Joseph M. Williams, The Craft of Research, Second Edition, University of Chicago Press, 2003. ISBN: 0-226-06568-5.

Mathematics (General)

• Thomas A. Garrity, All the Mathematics You Missed (But Need to Know for Graduate School), Cambridge University Press, 2002. ISBN: 0-521-79707-1.
• Daniel Solow, How to Read and Do Proofs , Third edition, John Wiley & Sons, 2002. ISBN: 0-471-40647-3.

• John G. Proakis, Digital Communications, Third Edition, McGraw-Hill, 1995. ISBN: 0-07-051726-6.
• Raymond Steele (ed.), Mobile Radio Communications, IEEE Press, 1992. ISBN: 0-7803-1102-7.
• Heinrich Meyr, Marc Moeneclaey and Stefan A. Fechtel, Digital Communication Receivers: Synchronization, Channel Estimation, and Signal Processing, Wiley, 1998. ISBN: 0-471-50275-8.

Information Theory

• Thomas M. Cover and Joy A. Thomas, Elements of Information Theory, Wiley, 1991. ISBN: 0-471-06259-6.
• Robert G. Gallager, Information Theory and Reliable Communication, Wiley, 1968. ISBN: 0-471-29048-3.
• Raymond W.H. Yeung, A First Course in Information Theory , Plenum, 2002. ISBN: 0-3064-6791-7.
• David J.C. Mackay, Information Theory, Inference, and Learning Algorithms , Cambridge, 2003. ISBN: 0-521-64298-1.

Digital Signal Processing

• Sophocles J. Orfanidis, Introduction to Signal Processing, Prentice-Hall, 1996. ISBN: 0-13-209172-0.
• Alan V. Oppenheim and Ronald W. Schafer, Discrete-Time Signal Processing, Second Edition, Prentice-Hall, 1999. ISBN: 0-13-083443-2.
• Steven M. Kay, Fundamentals of Statistical Signal Processing I: Estimation Theory, Prentice-Hall, 1993. ISBN: 0-13-345711-7.
• Steven M. Kay, Fundamentals of Statistical Signal Processing II: Detection Theory, Prentice-Hall, 1998. ISBN: 0-13-504135-X.
• Simon Haykin, Adaptive Filter Theory, Third Edition, Prentice-Hall, 1996.
• P.P. Vaidyanathan, Multirate Systems and Filter Banks, Prentice-Hall, 1993. ISBN: 0-13-605718-7.
• Ole Christensen, An Introduction to Frames and Reisz Basis, Birkhauser, 2003. ISBN: 0-8176-4295-1.

• C. Sidney Burrus, Ramesh A. Gopinath and Haitao Guo, Introduction to Wavelets and Wavelet Transforms: A Primer , Prentice-Hall, 1998. ISBN: 0-13-489600-9.
• Stephane Mallat, A Wavelet Tour of Signal Processing, Second Edition, Academic Press, 1999. ISBN: 0-12-466606-X.
• Ingrid Daubechies, Ten Lectures on Wavelets, SIAM, 1992. ISBN: 0-89871-274-2.
• Gilbert Strang and Truong Nguyen, Wavelets and Filter Banks, Wellesley-Cambridge, 1996. ISBN: 0-9614088-7-1.

• William Feller, An Introduction to Probability Theory and Its Applications, Second Edition, Wiley, 1971. ISBN: 0-471-25709-5.
• Gennady Samorodnitsky and Murad S. Taqqu, Stable Non-Gaussian Random Processes, Chapman & Hall/CRC, 1994. ISBN: 0-412-05171-0.
• Jan Beran, Statistics for Long-Memory Processes, Chapman & Hall/CRC, 1994. ISBN: 0-412-04901-5.
• Robert J. Adler, Raisa E. Feldman and Murad S. Taqqu (eds.), A Practical Guide to Heavy Tails: Statistical Techniques and Applications, Birkhauser, 1998. ISBN: 0-8176-3951-9.

• Adam Shwartz and Alan Weiss, Large Deviations for Performance Analysis: Queues, Communication, and Computing, Chapman & Hall, 1995. ISBN: 0-412-06311-5.
• Amir Dembo, Large Deviations Techniques and Applications , Springer, 1998. ISBN: 0-387-98406-2.

• W.R. Gilks, S. Richardson and D.J. Spiegelhalter (eds.), Markov Chain Monte Carlo in Practice, Chapman & Hall/CRC, 1996. ISBN: 0-412-05551-1.
• Arnaud Doucet, Nando de Freitas and Neil Gordon (eds.), Sequential Monte Carlo Methods in Practice, Springer-Verlag, 2001. ISBN: 0-387-95146-6.

• John L. Hennessy and David A. Patterson, Computer Architecture: A Quantitative Approach, Third Edition, Morgan Kauffmann 2003. ISBN: 1-55860-596-7.

• Steven H. Strogatz, Nonlinear Dynamics and Chaos, Perseus Books, 1994. ISBN: 0-201-54344-3.
• Robert C. Hilborn, Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers, Oxford University Press, 1994. ISBN: 0-19-505760-0.
• Robert L. Devaney, A First Course in Chaotic Dynamical Systems, Addison-Wesley, 1992. ISBN: 0-201-55406-2.

• H. Paul Williams, Model Building in Mathematical Programming, Fourth Editon, Wiley, 1999. ISBN: 0-471-99788-9.
• Dimitris Bertsimas and John N. Tsitsiklis, Introduction to Linear Programming, Athena Scientific, 1997. ISBN: 1-886529-19-1.
• Dimitri P. Bertsekas, Noninear Programming, Athena Scientific, 1995. ISBN: 1-886529-14-0.
• Edward Tsang, Foundations of Constraint Satisfaction , Academic Press, 1993. ISBN: 0-12-701610-4.