What is the ROC of the system function h Z?

What is the ROC of the system function h Z?

What is the ROC of the system function H(z) if the discrete time LTI system is BIBO stable? Hence, we see that if the system is stable, then H(z) converges for z=ejω. That is, for a stable discrete time LTI system, ROC of H(z) must contain the unit circle |z|=1.

What is the highest frequency that is contained in the sampled signal?

What is the highest frequency that is contained in the sampled signal? Solution: Explanation: We know that, after passing the signal through anti-aliasing filter, the filtered signal is sampled at a rate of Fs≥ 2B=>B≤ Fs/2. Thus the maximum frequency of the sampled signal is Fs/2.

How is output of a discrete time LTI system determined?

The output of a discrete time LTI system is completely determined by the input and the system’s response to a unit impulse. Figure 4.2. 1: We can determine the system’s output, y [ n], if we know the system’s impulse response, h [ n], and the input, x [ n].

Which is the direct Z transform for LTI?

Dr. Deepa Kundur (University of Toronto)Discrete-Time LTI Systems and Analysis17 / 61 Discrete-Time LTI SystemsThe z-Transform and System Function The Direct z-Transform IDirect z-Transform: X(z) = X1 n=1

How to characterize the response of an LTI system?

In fact, we can completely characterize an LTI system from: The system differential equation or the system impulse response h ( t ). Example 5 Find the output of an LTI system with impulse response h ( t) = ebtu ( t) to an input x ( t) = eatu ( t ), where a ≠ b.

Who is the founder of discrete time LTI?

Dr. Deepa Kundur (University of Toronto)Discrete-Time LTI Systems and Analysis1 / 61 Discrete-Time LTI SystemsDiscrete-time Systems Input-Output Description of Dst-Time Systems Discrete-time System x(n) Discrete-time signal y(n) Discrete-time signal input/ excitation output/ response