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 Your email address will not be published.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 View all posts by Electrical Workbook, Your email address will not be published.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