Howtosignalprocessing
- How do you find the periodicity of a discrete-time signal?
- What is the periodicity of a constant signal?
- How do you calculate periodicity of a signal?
- How do you know if a continuous-time signal is periodic?
How do you find the periodicity of a discrete-time signal?
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). x(n) = cos(2π f n).
What is the periodicity of a constant signal?
A constant signal has zero frequency, while a signal that changes very fast over time has high frequencies. Clearly, the higher the frequencies in a signal, the more samples would be needed to represent it with no loss of information thus requiring that Ts be small.
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 do you know if a continuous-time signal is periodic?
A continuous-time signal consisting of the sum of two time-varying functions is periodic, if and only if both functions are periodic and the ratio of these two periods is a rational number. In such a case, the least common multiple of the two periods is the period of the sum signal.
