Define Shannon’s Capacity theorem. What role does it play in handling errors?

Expert Solution

Shannon–Hartley theorem:-

It tells the maximum capacity (transmission bit rate) at which information can be transmitted over a communications channel of a specified bandwidth in the presence of noise.It is an application of the noisy-channel coding theorem to the archetypal case of a continuous-time analog communications channel subject to Gaussian noise.

Let c be the maximum obtainable error-free data speed in bps that a communications channel can handle. Let b be the channel bandwidth in Hertz. N is the average power of the noise and interference over the bandwidth, measured in watts (or volts squared) .Then Shannon's law is stated as follows:

c = b log2 (1 + S/N)

It play a major role in handling error and make error-free:-

Because of its, Bandwidth limits how fast the information symbols can be sent over the given channel. To increase the information rate, the signal-to-noise ratio and the allocated bandwidth have to be traded against each other.For no noise, the signal to noise ratio becomes infinite and so an infinite information rate is possible at a very small bandwidth.

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