How to determine the phase of a time-sampled periodic signal?

1. How do you find the period of a periodic signal?
2. Why is phase important in signals?
3. Is the sampled signal periodic?
4. What is the difference between periodic and Aperiodic signal?

How do you find the period of a periodic signal?

Periodic Functions

x(t) = x(t + nT). The minimum value of T that satisfies x(t) = x(t + T) is called the fundamental period of the signal and we denote it as T₀. Examples of periodic signals are infinite sine and cosine waves. Examples: Given x₁(t) = cos(3t), and x₂(t) = sin(5t).

Why is phase important in signals?

Abstract: In the Fourier representation of signals, spectral magnitude and phase tend to play different roles and in some situations many of the important features of a signal are preserved if only the phase is retained.

Is the sampled signal periodic?

One of the basic DSP principles states that a sampled time signal has a periodic spectrum with period equal to the sample rate.

What is the difference between periodic and Aperiodic signal?

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.