It is defined as
the sampling frequency should be greater than or equal
to twice the sampling frequency then we can generate
the original signal if the condition does not
satisfy we get the signal in the distorted manner
it is given as ( fs >/ 2 fs)
@ minu priya : m sorry but i think you mis-typed it,
instead of the highest freq component u wrote sampling freq
component .. so the real thing is that " whenever a signal
is being sampled, the sampling frequency has to be greater
than the highest frequency component of the message signal
to avoid any loss of information during sampling process" if
this condition is not satisfied, it leads to certain loss of
information. this condition, i.e ( Fs >= 2Fm ) is called the
nyquist rate.
Sampling theorem means,The sampling rate of the sampled
signal should be >= to Nyquist rate.Where Nyquist rate means
twice of the max of signal frequency .We can reconstruct the
original signal from the samples at the receiver end only
when the condition(Above) is met.
EX:Let the signal,that u want to sample, max frequency is 20kHZ.
Then Nyquist rate is 2*20kHZ=40kHZ.
Then the sampling rate is >=40kHZ.But generally sampling
rate units are mentioned as "Samples per Sec(Samples/sec)".
So for above example sampling rate is 40,000 samples/sec,if
sampling rate is equal to Nyquist rate.
the required frequency bandwidth is proportional to the
signaling speed, and that the minimum bandwidth is equal to
half the number of code elements per second.
Sampling theorem defined as sampling freq rate must double or equal to the signal freq to get orginal signal it is given by fs is equal to or twice of f.