Howtosignalprocessing
- What is the condition of periodicity for a continuous time signal?
- Is the output always periodic when sampling a continuous time signal if not why?
- How do you know if a continuous signal is periodic?
- How do you represent a continuous time signal by its sample?
What is the condition of periodicity for a continuous time signal?
A continuous-time signal x(t) is said to be periodic if it repeats itself after its time period 'T0'.
Is the output always periodic when sampling a continuous time signal if not why?
You will have approximately 4.2 samples per period. However you will not be able to sample the sine wave exactly at the same place. Hence your digital signal will not be periodic. However, if you sampled the same 1-kHz signal at 4 kHz, you would get a periodic discrete signal.
How do you know if a continuous signal is periodic?
A signal is said to be periodic signal if it has a definite pattern and repeats itself at a regular interval of time. Whereas, the signal which does not at the regular interval of time is known as an aperiodic signal or non-periodic signal.
How do you represent a continuous time signal by its sample?
Sampling a continuous time signal produces a discrete time signal by selecting the values of the continuous time signal at evenly spaced points in time. Thus, sampling a continuous time signal x with sampling period Ts gives the discrete time signal xs defined by xs(n)=x(nTs).
