## 24 Apr Wavelength and Shannon Capacity

## Wavelength

Wavelength is a measure of distance a signal can travel in a period. It is the distance between corresponding points. The units of wavelength are meter, centimeters, etc.

The Wavelength depends on frequency and medium.

Frequency and Wavelength are inversely related to each other.

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Wavelength = Propagation Speed/ Frequency |

In addition, write it as,

Above,

f = frequency

c = Propagation Speed

## Shannon Capacity

Shannon Capacity, named after Claude Shannon, since he introduced it.

Claude Shannon was an American electrical engineer, mathematician and properly known as “the father of information theory”.

*Claude Shannon introduced Shannon Capacity*

* Image Source: Konrad Jacobs, Erlangen — Copyright: MFO*

To determine the theoretical highest data rate for a channel, he introduced the following Shanon Capacity formulae in 1944,

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Shannon Capacity (C) = B log2 (1 + S/N) |

As shown above,

**S** = Signal Power in Watts

**N** = Noise power in Watts

**B** = Channel Bandwidth

**C** = Shannon Capacity in bits/ second (bps)

**S/N** = Signal to noise ratio

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