Howtosignalprocessing
- Can a discrete-time signal be periodic?
- Are periodic signals continuous?
- How do you find the period of a discrete and continuous signal?
- What is the difference between continuous and discrete-time signals?
Can a discrete-time signal be periodic?
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).
Are periodic signals continuous?
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.
How do you find the period of a discrete and continuous signal?
A periodic continuous-time signal satisfies x(t)=x(t+T0) for all t. The period T0 doesn't need to be a rational number. A periodic discrete-time signal satisfies x[n]=x[n+N] for all integers n. The period N is an integer.
What is the difference between continuous and discrete-time signals?
A continuous-time signal has values for all points in time in some (possibly infinite) interval. A discrete time signal has values for only discrete points in time.
