Optimization and inference in machine learning and physics Workshop

A statistical mechanics analysis of ncoded CDMA with regular LDPC codes

author: David Saad, Aston University

Description

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*Slides*
0:01	A statistical mechanics analysis of coded CDMA with regular LDPC codes
0:25	Outline
0:58	Overview: Mobile communication system
2:04	Multiple access (1)
2:22	Multiple access (2)
2:47	CDMA: Principle
3:46	CDMA: Principle
4:04	CDMA: Principle
5:44	CDMA channel (K users)
6:24	CDMA detection problem
6:43	Remark 1: Relationship with Perceptron
7:34	Analysis: Bayesian framework
8:24	Bayes decision theory
10:38	Statistical-mechanical analysis
11:43	Replica analysis
15:58	Binary uniform prior, AWGN
16:16	Binary uniform prior, AWGN
17:07	Remark 2: Relationship with Hopeld models
18:03	Error correcting codes
19:00	Regular LDPC Codes
19:52	Gallager's Code
23:56	Motivation: LDPC-coded CDMA
28:32	LDPC-coded CDMA
28:58	LDPC-coded CDMA
31:01	Free energy
34:05	LDPC-coded CDMA - Hamiltonian
34:08	LDPC-coded CDMA
34:43	LDPC-coded CDMA
35:41	LDPC-coded CDMA
37:53	LDPC-coded CDMA
46:52	LDPC-coded CDMA
48:05	Individual optimum decoding
48:45	Detection and decoding
49:32	Individual optimum decoding I
51:30	Individual optimum decoding II

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