Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
A) Find the Transfer Function B) find the step response x[n] = u[n]

A) Find the Transfer Function B) find the step response x[n] = u[n]

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...
See similar textbooks
icon
Related questions
Question
A) Find the Transfer Function B) find the step response x[n] = u[n]
### System Diagram Analysis for Discrete-Time Signal Processing This diagram represents a discrete-time system involving delay elements, multipliers, and a summing junction, commonly encountered in digital signal processing (DSP) applications. #### Components: 1. **Delay Elements (D):** - There are three delay elements, depicted as boxes labeled 'D'. These elements delay the input signal by one unit of time (n), which is essential for implementing systems that use past values of the signal. 2. **Multipliers:** - Two multiplier blocks are present: - **Multiplier 1:** Multiplies the signal by -0.7. - **Multiplier 2:** Multiplies the signal by 0.1. 3. **Summing Junction:** - This element combines multiple inputs to produce a single output. It has several input arrows, each joined via summation with others based on their sign, either adding or subtracting the incoming signals. #### Signal Flow: - The input signal \( x[n] \) is fed into the system. The path for this signal is processed through different components, ultimately producing the output signal \( y[n] \). - The output of the initial delay element is fed into the \(-0.7\) multiplier. The resulting signal is then passed back into one of the inputs of the summing junction. - Similarly, the \0.1\ multiplier takes its input from the delayed signal and feeds into another input of the summing junction. - The remaining signal paths shown in the diagram involve additional processing through the delay elements, feeding back into both the multipliers and the summing junction to achieve the desired output response. #### Input-Output Relationship: - The equation \( x[n] = u[n] \) refers to an impulse or step input, typically noted as the unit step function \( u[n] \) in DSP terms. This indicates that the system response shown is based on this standard input signal. The overall architecture of the diagram suggests it represents a feedback or recursive filter, given the interconnected nature of delays and multipliers feeding back into each other and the summing junction.
Transcribed Image Text:### System Diagram Analysis for Discrete-Time Signal Processing This diagram represents a discrete-time system involving delay elements, multipliers, and a summing junction, commonly encountered in digital signal processing (DSP) applications. #### Components: 1. **Delay Elements (D):** - There are three delay elements, depicted as boxes labeled 'D'. These elements delay the input signal by one unit of time (n), which is essential for implementing systems that use past values of the signal. 2. **Multipliers:** - Two multiplier blocks are present: - **Multiplier 1:** Multiplies the signal by -0.7. - **Multiplier 2:** Multiplies the signal by 0.1. 3. **Summing Junction:** - This element combines multiple inputs to produce a single output. It has several input arrows, each joined via summation with others based on their sign, either adding or subtracting the incoming signals. #### Signal Flow: - The input signal \( x[n] \) is fed into the system. The path for this signal is processed through different components, ultimately producing the output signal \( y[n] \). - The output of the initial delay element is fed into the \(-0.7\) multiplier. The resulting signal is then passed back into one of the inputs of the summing junction. - Similarly, the \0.1\ multiplier takes its input from the delayed signal and feeds into another input of the summing junction. - The remaining signal paths shown in the diagram involve additional processing through the delay elements, feeding back into both the multipliers and the summing junction to achieve the desired output response. #### Input-Output Relationship: - The equation \( x[n] = u[n] \) refers to an impulse or step input, typically noted as the unit step function \( u[n] \) in DSP terms. This indicates that the system response shown is based on this standard input signal. The overall architecture of the diagram suggests it represents a feedback or recursive filter, given the interconnected nature of delays and multipliers feeding back into each other and the summing junction.
Expert Solution
steps

Step by step

Solved in 5 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Mason’s Rule & Block Diagram Reduction
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,
SEE MORE TEXTBOOKS