24 Apr Wavelength and Shannon Capacity
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.
Wavelength = Propagation Speed/ Frequency
In addition, write it as,
f = frequency
c = Propagation Speed
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,
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