Nyquist Shannon Sampling Theorem easy explanation
Nyquist Sampling Theorem:
Nyquist derived an expression for the maximum data rate of a noiseless channel having a finite bandwidth. Nyquist proved that any signal can be reconstructed from its discrete form if the sampling is below the maximum data rate for the channel.
Shannon Sampling Theorem:
We have already known that the data rate is limited even in case of the noiseless channel. Random noise is always present in a channel. The channel may again be characterized by the ratio of the signal power to noise power that is known as the Signal-to-Noise Ratio (SNR). It is represented as :
Shanon derived that in the case of a noisy channel the signal can be reconstructed from its discrete form if the data rate is below the maximum data rate.