Howtosignalprocessing
A discrete-time signal is periodic if there is a non-zero integer p ∈ DiscreteTime such that for all n ∈ DiscreteTime, x(n + p) = x(n).
- How do you determine if it is a periodic signal?
- How do you find the period of a discrete signal?
- What is non-periodic discrete-time signal?
- Is discrete sinusoidal periodic?
How do you determine if it is a periodic signal?
A periodic signal is one that repeats the sequence of values exactly after a fixed length of time, known as the period. In mathematical terms a signal x(t) is periodic if there is a number T such that for all t Equation 10.10 holds.
How do you find the period of a discrete signal?
Detailed Solution. Concept: A discrete-time signal is periodic if there is a non-zero integer N ∈ discrete-time such that for all n ∈ discrete-time, x(n + N) = x(n). The smallest value of N is known as the fundamental period.
What is non-periodic discrete-time signal?
Discrete-time non-periodic signals: the discrete-time Fourier transform. The DTFT or discrete-time Fourier transform is used to represent a discrete-time nonperiodic signal as a superposition of complex sinusoids.
Is discrete sinusoidal periodic?
Therefore, a discrete-time sinusoid is periodic if its radian frequency Ω is a rational multiple of π. Otherwise, the discrete-time sinusoid is non-periodic.
