If a continuous periodic signal is sampled with time interval Ts , and T being time period of continuous signal -- For the resultant discrete signal to be periodic following must be true-- the ratio of T/Ts = rational number = number of samples in the discrete signal.

If I take an example of sine wave with T = 300 seconds , Ts = 100 seconds Number of samples = 3

If I take an example with same sine wave T = 300 seconds , Ts = 175 seconds Number of samples = 300 / 175 = 1.714285714285..(repeating)

My question is how come the number of samples in a discrete signals is not an integer , in other words I am not able to understand how can a discrete signal have number of samples in decimals.


1 Answer 1


There is nothing unordinary about it. Signals can have a period that is not an integer multiple of samples, and that is normal. For example, if you record a 440 Hz sine wave with a sampling rate of 48 kHz, it is not an integer multiple. It takes 11 full sine wave periods to hit an integer amount of 1200 samples.


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.