Mumbai University > Electronics Engineering > Sem4 > Fundamentals of Communication Engineering

Marks: 5M

Year: May 2015

1. Sampling theorem was introduced to the communication theory in 1949 by Shannon. Therefor this theorem is also called as “Shannon’s sampling theorem”

2. The statement of sampling theorem in time domain for the bandlimited signals of finite energy as

Statement

• If a finite energy signal x(t) contains no frequencies higher than ‘W’ Hz (i.e. it is a band limited signal) then it is completely determined by specifying its values at te instants of time which are spaced (1/2W) seconds apart.

• If a finite energy signal x(t) contains no frequencies higher than ‘W’ Hz then it may be completed recovered from its samples which are spaced (1/2W) seconds apart.

• Combined Statement: A continuous time signal x(t) can be completely represented in its sampled form and recovered back from the sampled form if the sampling frequency fs ≥ 2W where ‘W’ is the maximum frequency of the continuous time signal x(t).