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 View all posts by Electrical Workbook, Your email address will not be published.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 Your email address will not be published.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