Information Theory of Wideband Communication Systems (67891)

Spring semester, 2006
Lecture: Sunday 16:00-17:45, Sprinzak 115
Teacher:Dana Porrat

Office hours (spring 2006): Monday 12-13, Ross 216

Requirements: A summary or presentation in class, see below.

Course website http://www.cs.huji.ac.il/~dporrat/WidebandCourse.html

Prerequisites: Basic knowledge of information theory.

Related Material: Wireless Communication Systems in Israel.

Course Contents


Review of wireless communication systems: bandwidth, time and frequency domain representation, narrow-band and wideband channels, channel models, additive Gaussian noise.

Review of information theory [1]: entropy, mutual information, divergence, channel capacity.

Narrow-band systems with low SNR over Gaussian channels [2]]: coherent systems (channel known to receiver), incoherent systems, block constant channels, training.

Narrow-band systems with low SNR over general channels [3]: the connection between capacity and energy per bit, first order and second order optimality, impulsive signaling.

Wideband systems over multipath channels [4]: a connection channel complexity and information rate.



[1] T. M. Cover and J. A. Thomas, "Elements of Information Theory", Wiley.
[2] L. Zheng, D. N. C. Tse and M. Médard, "Channel Coherence in the Low SNR Regime", available at http://web.mit.edu/lizhong/www/publications/lowSNR_submit.pdf
[3] S. Verdú, "Spectral Efficiency in the Wideband Regime", IEEE Transactions on Information Theory, Vol 48 No 6, June 2002, p 1319-1343.
[4] D. Porrat, D. N. C. Tse and S. Nacu, "Channel Uncertainty in Ultra Wideband Communication Systems", available at http://www.cs.huji.ac.il/~dporrat/ChannelUncertainty.pdf



Final Project


A summary of 4-10 pages, or a presentation in class of 15-30 minutes, on Sunday June 18, 2006 of your own work or one of the following paper sections. The summary/presentation can be in English or Hebrew and should include:

The setup and channel model.
The main result(s).
The connection to class material.
An overview or sketch of the proof, no need for much detail.

The papers for review:
1. Section 5.2 of L. Zheng, D. N. C. Tse and M. Médard, Channel Coherence in the Low SNR Regime.

2. Section 6 of L. Zheng, D. N. C. Tse and M. Médard, Channel Coherence in the Low SNR Regime.

3. Section 2 of S. Borade and L. Zheng, Wideband Fading Channels with Feedback, invited paper, 42nd Allerton Annual Conference on Communication, Control and Computing, October 2004, pp.512-521.

4. D. Porrat and U. Mitra, Timing Acquisition of Wideband PPM Systems over Multipath. 2006 IEEE International Symposium on Information Theory.