Channeling your inner capacity

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Channel Basics

When Shannon developed his theory of information, it was in the context of improving communication. His goal was to determine if there was a way to maximize the transmission rates over some noisy channel. In this module, we will learn more about the channel and some formal terminologies that we will later in the succeeding modules. The GIF below recalls the story of Bob and Alice. Bob wants to send a message to Alice across some channel. Let's simplify the scenario. Let's say Bob just wants to send a love letter to Alice through some wireless (satellite based) channel.

Bob alice nodencode.gif
Figure 1: Simplified communication model

Figure 2 shows a simplified model of their communication. Bob is the source. Sometimes we use the term sender or transmitter for the source. The medium where the message goes through is the channel (in this case the wireless channel). Alice is the receiver who probably gets the correct message at the other end of the channel. Let's take a look at each component formally.


The source

Binary Symmetric Channels

Sample Application: Noisy Images