Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Related questions
Concept explainers
Question
thumb_up100%
My question is under attachment.
![3. Determine the \( X(z) = Z[x[n]] \) where \( Z[] \) is the \( z \)-transform. The sequence \( x[n] \) is:
\[
x[n] = (n-2) \left( \frac{1}{\sqrt{2}} \right)^{(n-2)} \sin \left( \frac{\pi}{4} (n-2) \right) u(n-2)
\]
What is the ROC of \( X(z) \)?
*Explanation:*
- \( (n-2) \) is a scaling factor depending on \( n \).
- \( \left( \frac{1}{\sqrt{2}} \right)^{(n-2)} \) is an exponential decay factor.
- \( \sin \left( \frac{\pi}{4} (n-2) \right) \) represents a sinusoidal component.
- \( u(n-2) \) is the step function, which is 0 for \( n < 2 \) and 1 for \( n \geq 2 \).
The problem involves calculating the \( z \)-transform of the given sequence and determining its region of convergence (ROC).](https://content.bartleby.com/qna-images/question/3dbff19e-8035-45fd-8d2f-33de2a5036f3/1cea5bcb-5725-49f6-90e3-1a3e25423939/hkw61j_processed.jpeg)
Transcribed Image Text:3. Determine the \( X(z) = Z[x[n]] \) where \( Z[] \) is the \( z \)-transform. The sequence \( x[n] \) is:
\[
x[n] = (n-2) \left( \frac{1}{\sqrt{2}} \right)^{(n-2)} \sin \left( \frac{\pi}{4} (n-2) \right) u(n-2)
\]
What is the ROC of \( X(z) \)?
*Explanation:*
- \( (n-2) \) is a scaling factor depending on \( n \).
- \( \left( \frac{1}{\sqrt{2}} \right)^{(n-2)} \) is an exponential decay factor.
- \( \sin \left( \frac{\pi}{4} (n-2) \right) \) represents a sinusoidal component.
- \( u(n-2) \) is the step function, which is 0 for \( n < 2 \) and 1 for \( n \geq 2 \).
The problem involves calculating the \( z \)-transform of the given sequence and determining its region of convergence (ROC).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps with 1 images
Knowledge Booster
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.Similar questions
- Can you please further explain how you used the ID equation to find the solution? Thank youarrow_forwardQ1: A sequential circuit has one inputs X and one output (Z) is used to detect the sequence 1011. The output Z=1 when the circuit detect the sequence 1011, otherwise Z=0. Sketch the stated diagrams of the following specifications: 1. Mealy model and the overlap is allowed. 2. Mealy model and the overlap is not allowed. I need to solve the question step by step and in clear handwriting.arrow_forwardhi.. question as per attachedarrow_forward
- The subject is Advanced Electronic Circuits Please send the answer by typing i don't want any handretten. Also, don't copy past from net as plagiarism will be counted.arrow_forwardRefer to the National Electrical Code® or the working drawings when necessary. Where applicable, responses should be written in complete sentences. For problems 1 and 2, six luminaires, similar to Style E used in the Commercial Building, are to be installed in a room that is 12 ft x 18 ft (~3.7 m x ~5.5 m) with a 9 ft (2.8 m) floor-to-ceiling height. The spacing ratio for the luminaire is 1:0. 1. The maximum distance that the luminaires can be separated and achieve uniform illuminance is ft ( m). For problems 2-5, two luminaires, 8 ft (2.5 m) and 4 ft (1.2 m) in length with dimensions as shown in Figure 15-7, are to be installed in tandem (end to end). The end of the long luminaire is to be 2 ft (600 mm) from the wall. 2. The center of the outlet box should be roughed in at ft ( m) from the wall. 3. The first support should be installed at the wall. ft ( m) from 4. The second support should be installed at from the wall. ft ( m) 5. The final support should be installed at the wall. ft…arrow_forwardHow did you find the angles? Also my computer says the answer to (a.) is incorrect.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSON
Delmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage Learning
Programmable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education 
Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill Education
Electric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSON
Engineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:9780078028229
Author:Charles K Alexander, Matthew Sadiku
Publisher:McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:9780134746968
Author:James W. Nilsson, Susan Riedel
Publisher:PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:9780078028151
Author:Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:Mcgraw-hill Education,