Can discrete-time signals be periodic?

Can discrete-time signals be periodic?

Such signals are called discrete-time signals. 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 discrete-time sinusoids 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. The fundamental period is 12 which corresponds to k = 1 envelope cycles. The fundamental period is 31 which corresponds to k = 4 envelope cycles.

Is Cos N 2 periodic?

what about the domain that n^2 is giving ? ohh it’s R+ Union {0}. But cos is certainly a periodic function in R+union {0}. So conclusion made that it is periodic function.

Is Cos n periodic?

x(n) = cos(n6) is a non-periodic discrete signal because it doesn’t satisfy the periodicity condition for discrete time signals i.e, it is not of the form 2π(mN).

Are all sinusoids periodic?

We consider a number of distinctions between continuous-time and discrete-time sinusoidal signals. For example, continuous-time sinusoids are always periodic. Not all discrete-time sinu- soids are periodic.

Are all continuous-time sinusoids periodic?

For example, continuous-time sinusoids are always periodic. Further- more, a time shift corresponds to a phase change and vice versa.

How do you know if a sinusoid is periodic?

In order to determine periodicity and period of a function, we can follow the algorithm as :

1. Put f(x+T) = f(x).
2. If there exists a positive number “T” satisfying equation in “1” and it is independent of “x”, then f(x) is periodic.
3. The least value of “T” is the period of the periodic function.

When is a sinusoidal discrete time signal periodic?

Such signals are called discrete-time signals. 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 ). Note that, somewhat counterintuitively, not all sinusoidal discrete-time signals are periodic. Consider.

Which is the discrete time formula for periodicity?

I know the discrete time formula for periodicity: x [n] = x [n+N]. I Also know that ω=2πf, ω=2π/Ν. I searched the web and i found a solution that goes like so: x [ n + N ] = C o s ( 2 n + 2 N ) therefore 2 N = Ω = m 2π, m ∈ Z, (at quora.com).

Who is the professor of discrete time sinusoids?

Professor Deepa Kundur (University of Toronto)Discrete-Time Sinusoids20 / 23 Discrete-Time Sinusoids -3 -10 1 3 4 5 -2 2 6 -3 -1 0 1 3 4 5 -2 2 6 Professor Deepa Kundur (University of Toronto)Discrete-Time Sinusoids21 / 23 Discrete-Time Sinusoids -3 -10 1 3 4 5 -2 2 6 -3 -1 0 1 3 4 5 -2 2 6

How are discrete time signals classified in DSP?

DSP – Classification of DT Signals. Just like Continuous time signals, Discrete time signals can be classified according to the conditions or operations on the signals.