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Problem 2 Obtain the direct form I, direct form II, cascade and parallel structures for the system of transfer 2(1 – 2-1)(1+ v22-1 +2-2) (1+0.5 z-1)(1 – 0.9 z-1 +0.81 z-2)* function H(z) =

Problem 2 Obtain the direct form I, direct form II, cascade and parallel structures for the system of transfer 2(1 – 2-1)(1+ v22-1 +2-2) (1+0.5 z-1)(1 – 0.9 z-1 +0.81 z-2)* function H(z) =

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Hi can you solve problems 2 thank you
**Problem 2** Obtain the direct form I, direct form II, cascade and parallel structures for the system of transfer function: \[ H(z) = \frac{2(1 - z^{-1})(1 + \sqrt{2}z^{-1} + z^{-2})}{(1 + 0.5z^{-1})(1 - 0.9z^{-1} + 0.81z^{-2})} \] **Problem 3** Determine the input-output relationship, the system transfer function, and plot the pole-zero pattern for the discrete-time system shown below. *Diagram Explanation:* The diagram represents a block diagram of a discrete-time system featuring: - A feedback loop with a branch multiplying the output by \( r \cos \theta \). - Another branch from the same output feeding back into the system with a multiplication of \( r \sin \theta \). - A summing junction where the feedback paths are combined. - A delay element \( z^{-1} \) in the system path, representing a one-sample delay in the discrete-time domain.
Transcribed Image Text:**Problem 2** Obtain the direct form I, direct form II, cascade and parallel structures for the system of transfer function: \[ H(z) = \frac{2(1 - z^{-1})(1 + \sqrt{2}z^{-1} + z^{-2})}{(1 + 0.5z^{-1})(1 - 0.9z^{-1} + 0.81z^{-2})} \] **Problem 3** Determine the input-output relationship, the system transfer function, and plot the pole-zero pattern for the discrete-time system shown below. *Diagram Explanation:* The diagram represents a block diagram of a discrete-time system featuring: - A feedback loop with a branch multiplying the output by \( r \cos \theta \). - Another branch from the same output feeding back into the system with a multiplication of \( r \sin \theta \). - A summing junction where the feedback paths are combined. - A delay element \( z^{-1} \) in the system path, representing a one-sample delay in the discrete-time domain.
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