EE 225A Spring 2006
Resources
Textbook (Hayes)
- Matlab files [dir]
- Errata for problems [pdf]
Homework (Solutions are posted on bspace)
Starting Points for Reading Projects
- Computational aspects of covariance and autocorrelation matrices. M. Morf, et al, Efficient solution of covariance equations for linear prediction. IEEE Transactions on Acoustics, Speech and Signal Processing, vol 25, no 5, October 1977. An excellent resource is also the book by Golub and van Loan, Matrix Computations.
- Minimum description length principle. A. Barron, J. Rissanen, B. Yu, The minimum description length principle in coding and modeling. IEEE Transactions on Information Theory, vol 44, no 6, October 1998.
- Frequency estimation. Here, there are many more techniques that we did not discuss in class, such as the MUSIC algorithm. The original paper is R. Schmidt, Multiple emitter location and signal parameter estimation. Proceedings of the RADC Spectrum Estimation Workshop, pp. 243-258, 1979. (The link is to a journal version of this work.)
- Sampling signals with finite rate of innovation. M. Vetterli, T. Blu, P. Marziliano, Sampling signals with finite rate of innovation. IEEE Transactions on Signal Processing, vol 50, no 6, June 2002.
- Transform Coding: V. Goyal, Theoretical foundations of transform coding. IEEE Signal Processing Magazine, vol 18, no 5, Sept. 2001. This is a nicely written overview++ paper of transform coding.
References for Background Some books are on reserve at the Engineering Library
- Linear Algebra
- G. Strang, Linear Algebra and Applications, Academic Press, 1980.
- Horn and Johnson, Matrix Analysis. Cambridge University Press, 1985.
- General DSP
- A. Oppenheim and R. Schafer with J. Buck, Discrete-time Signal Processing. Second Edition. Prentice-Hall, 1999 [Reserved].
- J. Proakis and D. Manolakis, Digital Signal Processing: Principles, Algorithms, and Applications. Third edition. Prentice-Hall, 1996. [Reserved]
- S. K. Mitra, Digital Signal Processing: A Computer-Based Approach. McGraw Hill, 1998.
- P. Bremaud. Mathematical principles of signal processing: Fourier and Wavelet analysis. Springer, 2002. [Reserved]
- Adaptive Filtering
- P. M. Clarkson, Optimal and Adaptive Signal Processing. CRC Press, Boca Raton, FL, 1993.
- B. Widrow and S. D. Stearns, Adaptive Signal Processing. Prentice-Hall, 1985.
- S. Haykin, Adaptive Filter Theory. Second Edition. Prentice-Hall, 1991. [Reserved]
- Statistical Signal Processing
- B. Porat, Digital Processing of Random Signals: theory and methods. Prentice-Hall, 1994. [Reserved]
- M. Hayes, Statistical Digital Signal Processing and Modeling. Prentice-Hall, 1996. [Reserved]
- Wavelets and multi-rate
- M. Vetterli and J. Kovacevic. Wavelets and Subband Coding. Prentice-Hall: Upper Saddle River, NJ, 1993.
- S. Mallat. A Wavelet Tour of Signal Processing. Second Edition. Academic Press: London, 1999.
- Further Topics: See Course Information Leaflet
Previous semesters
The class web sites of previous offerings of this course at
Berkeley
include much useful material: Spring 2000; Spring 2001; Spring 2003; Spring 2005
General mathematics
Several online encyclopedic resources are excellent sources of mathematical definitions and concepts:
- PlanetMath (excellent source of definitions and major theorems)
- Mathworld (generally not as sophisticated or refined as PlanetMatch)
- Wikipedia (general encyclopedia including many math articles)
If you are looking for additional background on complex variable theory, a tutorial on complex variable theory by Dan Sloughter is recommended.