Howtosignalprocessing
- How do you find the fundamental period of a periodic signal?
- How do you know if its periodic or non periodic?
- How do you calculate periodicity of a signal?
- How can we identify if the signal is periodic or non periodic by looking at its frequency plot?
How do you find the fundamental 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).
How do you know if its periodic or non periodic?
Complete step by step answer: Any form of motion that repeats itself after fixed intervals of time is called a periodic motion, while one that does not repeat itself after fixed intervals of time is defined as a non-periodic motion.
How do you calculate periodicity of a signal?
As mentioned above, the period of a periodic signal is called T0, and it is the smallest positive value of T that makes the equation x(t) = x(t+T) true for all t. The period of a signal is sometimes called one cycle of the signal.
How can we identify if the signal is periodic or non periodic by looking at its frequency plot?
Answer: The given signal may be periodic if its frequency spectrum having the fundamental time period repeats at regular intervals of time. The given signal is non periodic when the signal's frequency is random and it is not defined as in sine wave or cosine wave.
