**Problem 3****Task:** 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 system is represented using a flow diagram with the following components:1. **Input:** The input to the system is denoted as \(x(n)\).2. **Adders:** - There are two adders (+) that combine incoming signals. 3. **Branches and Coefficients:** - Four branches originating from or leading to the adders have coefficients \(r \cos \theta\) and \(-r \cos \theta\), affecting the horizontal paths, and \(r \sin \theta\) and \(-r \sin \theta\), affecting the vertical paths.4. **Delay Elements:** - Two sections with delay elements (\(z^{-1}\)) store and delay the signals by one time step.5. **Output:** The overall system output is shown in the rightmost part of the diagram after signal processing.**Function of the System:**- The system processes the input \(x(n)\) through a specific configuration of adders, coefficients, and delay elements to produce the output. The coefficients \(r \cos \theta\) and \(r \sin \theta\) suggest a potential transformation involving trigonometric components.This setup is often used in signal processing to model or manipulate signals with specific frequency characteristics or to implement filters. The task involves calculating the exact transfer function to understand the system’s behavior fully.

Given system is- Rewriting the above as Reducing the parts in dotted lines and negative feedback…

Answered: Determine the input-output…

Determine the input-output relationship, the system transfer function, and plot the pole-zero pattern for the discrete-time system shown below.

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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Concept explainers

Operational Amplifier

An operational amplifier also called op amp is an integrated circuit or analog circuit that takes input as a differential voltage and produces output as a single-ended voltage. It is an IC that can amplify weak electric signals.An op amp has one output pin and two input pins. The basic role of an opamp is to amplify the voltage difference between the two input voltages. It is also used in filtering or to perform mathematical operations or in signal conditioning.

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**Problem 3**

**Task:** 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 system is represented using a flow diagram with the following components:

1. **Input:** The input to the system is denoted as \(x(n)\).

2. **Adders:**
- There are two adders (+) that combine incoming signals.

3. **Branches and Coefficients:**
- Four branches originating from or leading to the adders have coefficients \(r \cos \theta\) and \(-r \cos \theta\), affecting the horizontal paths, and \(r \sin \theta\) and \(-r \sin \theta\), affecting the vertical paths.

4. **Delay Elements:**
- Two sections with delay elements (\(z^{-1}\)) store and delay the signals by one time step.

5. **Output:** The overall system output is shown in the rightmost part of the diagram after signal processing.

**Function of the System:**

- The system processes the input \(x(n)\) through a specific configuration of adders, coefficients, and delay elements to produce the output. The coefficients \(r \cos \theta\) and \(r \sin \theta\) suggest a potential transformation involving trigonometric components.

This setup is often used in signal processing to model or manipulate signals with specific frequency characteristics or to implement filters. The task involves calculating the exact transfer function to understand the system’s behavior fully.

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