What is the period of the discrete time signal?

What is the period of the discrete time signal?

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.

What are the properties of discrete-time signals?

Discrete-time signal: A signal x(n) is said to be discrete-time signal if it can be defined for a discrete instant of time. – Amplitude of the signal varies at every discrete values of n, which is generally uniformly spaced.

Is discrete-time convolution possible?

1. Is discrete time convolution possible? Explanation: Yes, like continuous time convolution discrete time convolution is also possible with the same phenomena except that it is discrete and superimposition occurs only in those time interval in which signal is present. 2.

What is the unit of discrete time frequency ω?

The discrete-time sine and cosine signals, as in the continuous-time case, are out of phase π/2 radians. 2. Discrete frequencies ω as radian frequencies can only vary from 0 to π. Negative frequencies are needed in the analysis of real-valued signals, thus – ∞ < Ω < ∞ and – π < ω ≤ π .

What is the unit of frequency of a discrete time sinusoidal signal?

radians
The unit of the discrete frequency ω is radians. Moreover, discrete frequencies repeat every 2π, i.e., ω = ω + 2 π k for any integer k, and as such we only need to consider the range − π ≤ ω < π .

When is a discrete time signal a periodic 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 ). Note that, somewhat counterintuitively, not all sinusoidal discrete-time signals are periodic. Consider

Which is a property of a discrete time sinusoidal signal?

Properties of Discrete-time Sinusoidal Signal. The discrete time sinusoids whose frequency are separated by an integer multiple of 2 are identical. Property 2. The frequency of oscillation of discrete time sinusoids sequence increases as increases from 0 to . If is increased from to 2 then frequency of oscillation decreases.

How does frequency of oscillation of discrete time sinusoids increase?

The frequency of oscillation of discrete time sinusoids sequence increases as ω increases from 0 to π. If ω is increased from π to 2 π then frequency of oscillation decreases. I was able to understand the mathematical property implementation of above two property but have some basic questions for clarification:

Is the discrete time sinusoid periodic or non periodic?

Otherwise, the discrete-time sinusoid is non-periodic. Professor Deepa Kundur (University of Toronto)Discrete-Time Sinusoids6 / 23 Discrete-Time Sinusoids