Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
Consider the system below in which the input signal a(t) is bandlimited to |F|< 125Hz. We suppose the input signal is oversampled; in particular, that the Ideal A/D samples at twice the Nyquist rate. The samples x(n) are passed through a filter having impulse response h(n) = {1,0.75} and then passed through a 2× downsampler. xa(t) Ideal x(n) v(n) H(w) +2 y(n) A/D F's We would like to recover the original signal ra(t) from the DT sequence y(n). Explain what components we should use in Box 1, Box 2, Box 3, and Box 4 in the following diagram. y(n) ? ? ? ? Box 2 Box 3 Box 4 xa(t) Box 1 Your available options are: ⚫ A discrete-time or continuous-time filter. If the filter has an ideal rectangular frequency response, you must specify the type (e.g., highpass, lowpass, ...), the gain, and the relevant cutoff frequencies. For other types of filters, you must specify the impulse response. ⚫ A discrete-time downsampler ↓M. You must specify M. ⚫ A discrete-time upsampler with zero insertion ↑ L. You must specify L. • A D/A converter D/A. You must specify the interpolation method and rate. (For example, "75 samples per second using sinc interpolation" or "100 samples per second using a zero-order hold".) You may use more than one of each type of component.

Consider the system below in which the input signal a(t) is bandlimited to |F|< 125Hz. We suppose the input signal is oversampled; in particular, that the Ideal A/D samples at twice the Nyquist rate. The samples x(n) are passed through a filter having impulse response h(n) = {1,0.75} and then passed through a 2× downsampler. xa(t) Ideal x(n) v(n) H(w) +2 y(n) A/D F's We would like to recover the original signal ra(t) from the DT sequence y(n). Explain what components we should use in Box 1, Box 2, Box 3, and Box 4 in the following diagram. y(n) ? ? ? ? Box 2 Box 3 Box 4 xa(t) Box 1 Your available options are: ⚫ A discrete-time or continuous-time filter. If the filter has an ideal rectangular frequency response, you must specify the type (e.g., highpass, lowpass, ...), the gain, and the relevant cutoff frequencies. For other types of filters, you must specify the impulse response. ⚫ A discrete-time downsampler ↓M. You must specify M. ⚫ A discrete-time upsampler with zero insertion ↑ L. You must specify L. • A D/A converter D/A. You must specify the interpolation method and rate. (For example, "75 samples per second using sinc interpolation" or "100 samples per second using a zero-order hold".) You may use more than one of each type of component.

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

Please help with practice problem. Please explain clearly the steps so I can study.

Consider the system below in which the input signal a(t) is bandlimited to |F|< 125Hz. We suppose the input signal is oversampled; in particular, that the Ideal A/D samples at twice the Nyquist rate. The samples x(n) are passed through a filter having impulse response h(n) = {1,0.75} and then passed through a 2× downsampler. xa(t) Ideal x(n) v(n) H(w) +2 y(n) A/D F's We would like to recover the original signal ra(t) from the DT sequence y(n). Explain what components we should use in Box 1, Box 2, Box 3, and Box 4 in the following diagram. y(n) ? ? ? ? Box 2 Box 3 Box 4 xa(t) Box 1 Your available options are: ⚫ A discrete-time or continuous-time filter. If the filter has an ideal rectangular frequency response, you must specify the type (e.g., highpass, lowpass, ...), the gain, and the relevant cutoff frequencies. For other types of filters, you must specify the impulse response. ⚫ A discrete-time downsampler ↓M. You must specify M. ⚫ A discrete-time upsampler with zero insertion ↑ L. You must specify L. • A D/A converter D/A. You must specify the interpolation method and rate. (For example, "75 samples per second using sinc interpolation" or "100 samples per second using a zero-order hold".) You may use more than one of each type of component.
Transcribed Image Text:Consider the system below in which the input signal a(t) is bandlimited to |F|< 125Hz. We suppose the input signal is oversampled; in particular, that the Ideal A/D samples at twice the Nyquist rate. The samples x(n) are passed through a filter having impulse response h(n) = {1,0.75} and then passed through a 2× downsampler. xa(t) Ideal x(n) v(n) H(w) +2 y(n) A/D F's We would like to recover the original signal ra(t) from the DT sequence y(n). Explain what components we should use in Box 1, Box 2, Box 3, and Box 4 in the following diagram. y(n) ? ? ? ? Box 2 Box 3 Box 4 xa(t) Box 1 Your available options are: ⚫ A discrete-time or continuous-time filter. If the filter has an ideal rectangular frequency response, you must specify the type (e.g., highpass, lowpass, ...), the gain, and the relevant cutoff frequencies. For other types of filters, you must specify the impulse response. ⚫ A discrete-time downsampler ↓M. You must specify M. ⚫ A discrete-time upsampler with zero insertion ↑ L. You must specify L. • A D/A converter D/A. You must specify the interpolation method and rate. (For example, "75 samples per second using sinc interpolation" or "100 samples per second using a zero-order hold".) You may use more than one of each type of component.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 1 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
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