In this topic, you study the Periodic and Aperiodic Signals theory & solved examples. If a signal isn’t periodic, it’s aperiodic. Periodic Signal. Figure 1 shows a periodic signal and it follows that, The fundamental time period $T_0$ of $x(t)$ is the smallest and positive value of $T$ for which signal is periodic. Required fields are marked *. Aperiodic Signals. Example 1: For a periodic signal $x(t)$ shown in Figure 2, find the fundamental time period. Properties of Discrete Fourier Transform (DFT), Even and Odd Signals – Theory | Solved Examples, Contains all the time ($ – \infty {\text{ to + }}\infty $). A signal is periodic if x ( t) = x ( t + T0 ), where T0, the period, is the largest value satisfying the equality. Aperiodic signal cannot be … Any continuous-time signal which is not periodic is called a nonperiodic (or aperiodic) signal. Example 1: For a periodic signal $x(t)$ shown in Figure 2, find the fundamental time period. Solution 1: with refrence to Figure 2 $ x(t+ T_0) = x(t+1) = x(t) $ so fundamental time period $T_0$ is 1. Solution 2: with refrence to Figure 3, the signal $x(t)$ contains the time $ 0 {\text{ to + }}\infty $, so, We provide tutoring in Electrical Engineering. This means periodic signal repeats its pattern over a period. Definition: A signal is considered to be periodic signal when it is repeated over cycle of time or regular interval of time. Example 2: Check whether the signal $x(t)$ shown in Figure 3 is periodic or not. A continuous-time signal $x(t)$ is called periodic if, for all $t$ and the time period $T$ of the signal $x(t)$ is non zero positive value. Your email address will not be published. f(x + p) = f(x) Example: The cosine signal is periodic with periodicity value of 2π. Figure 2. Representation : Periodic signal can be represented by a mathematical equation. When checking for periodicity, you’re checking in a graphical sense to see whether you can copy a period from the center of the waveform, shift it left or right by an integer multiple of T0, and if it perfectly matches the signal T0 seconds away. Aperiodic signal is a signal which does not repeat itself after a specific interval of time. Any continuous-time signal which is not periodic is called a nonperiodic (or aperiodic) signal. Periodic signal is a signal which repeats itself after specific interval of time. We can conclude that a periodic signal is one which. The function f(x) can be periodic if it satisfies following equation. View all posts by Electrical Workbook, Your email address will not be published.

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