Question

5. Given the following pole-zero diagram of a system's transfer function: je Z=e^{j\omega} \omega OX \sigma (a) Sketch the system's frequency response magnitude, ($|H(e^{j\omega})|$) (b) Is the system causal, stable, and is it an FIR or IIR system? Justify your answers.

          5. Given the following pole-zero diagram of a system's transfer function:
je
Z=e^{j\omega}
\omega
OX
\sigma
(a) Sketch the system's frequency response magnitude, ($|H(e^{j\omega})|$)
(b) Is the system causal, stable, and is it an FIR or IIR system? Justify your answers.

5. Given the following pole-zero diagram of a system's transfer function:
je
Z=e^jω
ωOX
σ(a) Sketch the system's frequency response magnitude, (|H(e^jω)|)
(b) Is the system causal, stable, and is it an FIR or IIR system? Justify your answers.

Added by Juan Francisco B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Ivan Kochetkov

Step 1

From the given pole-zero diagram, we can see that there is a zero at the origin (j0) and a pole at ejw. The frequency response magnitude can be calculated as the absolute value of the transfer function evaluated at different frequencies. At the zero, the Show more…

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Poles and zeroes are marked on the image. 5. Given the following pole-zero diagram of a system's transfer function: j0 Z = ejw (a) Sketch the system's frequency response magnitude, (|H(ej)) (b) Is the system causal, stable, and is it an FIR or IIR system? Justify your answers.