Introduction to coding theory (CMU, Spr 2010)

January 24, 2010

Lecture 4 summary

Filed under: Lecture summary — Venkat Guruswami @ 11:52 am

Today we discussed Shannon’s model of communication in two stages: source coding followed by channel coding. We introduced the model of a discrete memoryless channel, and saw some examples such as the binary symmetric channel, the binary erasure channel, the noisy typewriter channel, and a continuous example: the binary input additive white Gaussian noise channel. We stated Shannon’s noisy coding theorem for a discrete memoryless channel (we will later prove it for the BSC). Together with the source coding theorem, this led to the joint source-channel coding theorem. We mentioned the “separation theorem” on optimality of doing source and channel coding separately.  The discussion of the capacity of the noisy typewriter channel led us into a brief discussion of zero-error capacity and Lovasz’s theorem on Shannon capacity of the 5-cycle.

Advertisements

Leave a Comment »

No comments yet.

RSS feed for comments on this post. TrackBack URI

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

Create a free website or blog at WordPress.com.

%d bloggers like this: