Contents
What is discrete-time sinusoidal signal?
Continuous-time sinusoidal signals are distinct at distinct frequencies. Discrete- time sinusoidal signals are distinct only over a frequency range of 2,.
What is the condition to be satisfied for a discrete-time sinusoidal sequence to 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). x(n) = cos(2π f n).
What is discrete time signal classification?
Discrete time signals can be classified as follows: Even and odd signals. Periodic and non-periodic signals. Deterministic and random signals.
Why is AC sine?
But in basic circuit analysis and AC signal analysis, we tend to use sine waves because they are the easiest to generate (as compared to square/ramp signals) as well as the easiest to analyze mathematically (all our calculus tools work wonderfully for curves like the sine, but tend to be more inconvenient around things …
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.
Is there a time shift for discrete time sinusoids?
The situation is considerably different for discrete-time sinusoids. Not all discrete-time sinu- soids are periodic. Furthermore, while a time shift can be related to a change in phase, changing the phase cannot necessarily be associated with a simple time shift for discrete-time sinusoids.
How are discrete time signals similar to continuous time signals?
The definition of a discrete-time periodic signal is similar to that of continuous-time periodic signals, except for the fundamental period being an integer. That periodic discrete-time sinusoids are of the given form can easily be shown: shifting the sinusoid in (9.3) by a multiple k of the fundamental period N, we have x [ n + k N] = A cos
Is the discrete sinusoid x [ n ] periodic?
So x[n] is not periodic. Since the frequency of the continuous-time signal x(t) = cos(t + π / 4) is Ω0 = 1, the sampling period, according to the Nyquist sampling rate condition, should be and for the sampled signal x(t) | t = nTs = cos(nTs + π / 4) to be periodic of fundamental period N or for an integer k, i.e., a multiple of 2 π.