Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
10-3) similar to Lathi & Ding, Prob. P.6.3-7 The Fourier transform P(f) of a the basic pulse p(t) used in a certain binary communication is shown in the figure below: P(f) 1 0.5 0 f₁ = 0.8 √₂ = 1.2 f, MHz (a) From the shape of P(f), explain at what pulse rate this pulse would satisfy Nyquist's first criterion. (b) Assuming that the pulse is a raised-cosine pulse, find its rolloff factor. (c) Find p(t) and verify that this pulse satisfies Nyquist's first criterion in the time domain. (d) Show how rapidly the pulse decays as a function of t, (i.e., what power of t does the envelope obey for large time values).

10-3) similar to Lathi & Ding, Prob. P.6.3-7 The Fourier transform P(f) of a the basic pulse p(t) used in a certain binary communication is shown in the figure below: P(f) 1 0.5 0 f₁ = 0.8 √₂ = 1.2 f, MHz (a) From the shape of P(f), explain at what pulse rate this pulse would satisfy Nyquist's first criterion. (b) Assuming that the pulse is a raised-cosine pulse, find its rolloff factor. (c) Find p(t) and verify that this pulse satisfies Nyquist's first criterion in the time domain. (d) Show how rapidly the pulse decays as a function of t, (i.e., what power of t does the envelope obey for large time values).

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
10-3) similar to Lathi & Ding, Prob. P.6.3-7 The Fourier transform P(f) of a the basic pulse p(t) used in a certain binary communication is shown in the figure below: P(f) 1 0.5 0 f₁ = 0.8 √₂ = 1.2 f, MHz (a) From the shape of P(f), explain at what pulse rate this pulse would satisfy Nyquist's first criterion. (b) Assuming that the pulse is a raised-cosine pulse, find its rolloff factor. (c) Find p(t) and verify that this pulse satisfies Nyquist's first criterion in the time domain. (d) Show how rapidly the pulse decays as a function of t, (i.e., what power of t does the envelope obey for large time values).
Transcribed Image Text:10-3) similar to Lathi & Ding, Prob. P.6.3-7 The Fourier transform P(f) of a the basic pulse p(t) used in a certain binary communication is shown in the figure below: P(f) 1 0.5 0 f₁ = 0.8 √₂ = 1.2 f, MHz (a) From the shape of P(f), explain at what pulse rate this pulse would satisfy Nyquist's first criterion. (b) Assuming that the pulse is a raised-cosine pulse, find its rolloff factor. (c) Find p(t) and verify that this pulse satisfies Nyquist's first criterion in the time domain. (d) Show how rapidly the pulse decays as a function of t, (i.e., what power of t does the envelope obey for large time values).
Expert Solution
steps

Step by step

Solved in 2 steps with 6 images

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