In the table below, for each class you find the topic of the lecture; the topics are linked to a set of slides covered in the class. Slides are not available for all lectures. The final column may include links to other resources from the lecture, e.g., MATLAB files.
Date | Topic | Other Resources |
---|---|---|
Jan. 23 | Introduction | Textbook: chapter 1 |
Feb. 5 | Mathematical Prerequisites: Working with Gaussian random variables and vectors | Textbook: Appendix A and section 3.1 |
Feb. 12 | Mathematical Prerequisites: Random processes: modeling of random processes, n-th order pdf; second order description; stationarity; white Gaussian noise. | Textbook: Appendix A and section 3.1 |
Feb. 19 | Mathematical Prerequisites: Filtering of Random processes. Random processes: power spectral density. | Textbook: Appendix A and section 3.3 |
Feb. 26 | Mathematical Prerequisites: Introduction to linear vector spaces: Hilbert spaces, subspaces, projection theorem, representation in terms of bases, orthonormal bases, | Textbook: Appendix A and section 3.3 |
March 5 | Mathematical Prerequisites: Parseval's Theorem, Gram-Schmidt procedure Representation of random processes: Karhunen-Loeve expansion. | Textbook: sections 3.4 and 3.5 |
March 12 | Optimum Receiver Principles: Introductory Example; Introduction to Statistical Hypothesis Testing. | Textbook: sections 3.4 and 3.5 |
March 16 | Optimum Receiver Principles: Statistical Hypothesis Testing (cont'd). | Textbook: sections 3.4 and 3.5 |
April 2 | Optimum Receiver Principles: Optimal receiver front-end; matched filter receiver. | Textbook: sections 3.4 and 3.5 |
April 9 | Optimum Receiver Principles: Introduction to M-ary signal sets. | Textbook: sections 3.4 and 3.5 |
April 23 | Optimum Receiver Principles: Computing the probability of error for M-ary signal sets; union bound, nearest neighbor approximation, energy efficiency. |
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Apr. 30 | Message Sequences: error-free transmission, sphere-packing, capacity | Textbook: section 6.1 |
May 7 | Complex envelope representation of passband signals: representation of passband signals as equivalent baseband signals, equivalen baseband systems, generalization of optimum receiver expressions for complex envelope signals. | Textbook: section 2.2 |