la) M&I 4.30, parts a, e, and d only 30. Determine and plot the DTFT magnitude and phase spectra of the following signals: (a) x[n] = (1/3)"u[n – 1]. (b) x2[m] = (1/4)" cos(Tn/4)uln – 2). (c) xyln] = sine(2:n/8) sine(2(n– 4)/8). (d) xaln] = sin(0.1)(a(u]- [n - 10). (e) xs[n] = sine (Tn/4). .....*.

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...
icon
Related questions
Question

I need answers for all the questions

I EE210_S22_HW2.pdf - Adobe Reader
File
Edit View Window Help
Tools Fill & Sign Comment
Оpen
2
100%
IT
Sign In
Ptoblems from O&S and M&I
• Export PDF
• Create PDF
la) M&I 4.30, parts a, c, and d only
v Edit PDF
Adobe Acrobat Pro
30. Determine and plot the DTFT magnitude and phase spectra of the following signals:
(a) x1[n] = (1/3)" u[n – 1],
(b) x2[n] = (1/4)" cos(1n/4)u[n – 2],
(c) x3[n] = sinc(27 n/8) * sinc{2r (n – 4)/8},
(d) ха[n] 3 sin(0.1лп)(и(n] — и(п — 10),
(e) x5[n] = sinc² (Tn/4).
Easily edit text and images in PDF
documents
Start Now
• Combine PDF
1b) M&I 4.31, parts a, b, and d only
• Send Files
• Store Files
31. Determine the sequence x[n] corresponding to each of the following Fourier trans-
forms:
(a) X(ej®) = 8(@) – 8(@ – 1 /2) – 8(@+r/2),
(b) X(ej®) = 1, 0 < lwl < 0.27 and X(ej@) = 0, 0.27 < |@[ < 1
(c) X(ei«) = 2|w|/T, 0 < |@| < 1/2 and X(ej®) = 0, 7 /2 < |@l < r
(d) With Aw > 0 and we > Aw/2, X(el@) is given by
Aw
|0,
< lwl < @c + Aw
Wc
2
X(ej@)
1.
otherwise
2a) M&I 4.54, skip part b
54. The signal x[n] = {1, –2,3, –-4,0,4, –3, 2, – 1}, has Fourier transform X(ejo). Find
the following quantities without explicitly computing X(ej@):
(a) X(e®), (b) ZX(ej®), (c) ƒ*, X(ei®)d2,
(d) X(ej™), (e) /¨, |X(ej@)]²ds2.
2b) O&S 2.36 parts a and b only.
2.36. An LTI discrete-time system has frequency response given by
+ je-jw)
1 – 0.8e-jw
(1 – je-j@(1
-j2w
1+e-j2w
1
H(ej®) =
1 – 0.8e-j@
1– 0.8e-jw
1 – 0.8e-j@'
(a) Use one of the above forms of the frequency response to obtain an equation for the
impulse response h[n] of the system.
(b) From the frequency response, determine the difference equation that is satisfied by
the input x[n] and the output y[n] of the system.
8:03 PM
Type here to search
26°C
W
22-Feb-22
Transcribed Image Text:I EE210_S22_HW2.pdf - Adobe Reader File Edit View Window Help Tools Fill & Sign Comment Оpen 2 100% IT Sign In Ptoblems from O&S and M&I • Export PDF • Create PDF la) M&I 4.30, parts a, c, and d only v Edit PDF Adobe Acrobat Pro 30. Determine and plot the DTFT magnitude and phase spectra of the following signals: (a) x1[n] = (1/3)" u[n – 1], (b) x2[n] = (1/4)" cos(1n/4)u[n – 2], (c) x3[n] = sinc(27 n/8) * sinc{2r (n – 4)/8}, (d) ха[n] 3 sin(0.1лп)(и(n] — и(п — 10), (e) x5[n] = sinc² (Tn/4). Easily edit text and images in PDF documents Start Now • Combine PDF 1b) M&I 4.31, parts a, b, and d only • Send Files • Store Files 31. Determine the sequence x[n] corresponding to each of the following Fourier trans- forms: (a) X(ej®) = 8(@) – 8(@ – 1 /2) – 8(@+r/2), (b) X(ej®) = 1, 0 < lwl < 0.27 and X(ej@) = 0, 0.27 < |@[ < 1 (c) X(ei«) = 2|w|/T, 0 < |@| < 1/2 and X(ej®) = 0, 7 /2 < |@l < r (d) With Aw > 0 and we > Aw/2, X(el@) is given by Aw |0, < lwl < @c + Aw Wc 2 X(ej@) 1. otherwise 2a) M&I 4.54, skip part b 54. The signal x[n] = {1, –2,3, –-4,0,4, –3, 2, – 1}, has Fourier transform X(ejo). Find the following quantities without explicitly computing X(ej@): (a) X(e®), (b) ZX(ej®), (c) ƒ*, X(ei®)d2, (d) X(ej™), (e) /¨, |X(ej@)]²ds2. 2b) O&S 2.36 parts a and b only. 2.36. An LTI discrete-time system has frequency response given by + je-jw) 1 – 0.8e-jw (1 – je-j@(1 -j2w 1+e-j2w 1 H(ej®) = 1 – 0.8e-j@ 1– 0.8e-jw 1 – 0.8e-j@' (a) Use one of the above forms of the frequency response to obtain an equation for the impulse response h[n] of the system. (b) From the frequency response, determine the difference equation that is satisfied by the input x[n] and the output y[n] of the system. 8:03 PM Type here to search 26°C W 22-Feb-22
Expert Solution
Step 1

“Since you have asked multiple question, we will solve the first question for you. If you want any specific question to be solved then please specify the question number or post only that question.”

Discrete-time Fourier transform (DTFT) is a Fourier transformation method that works on numerical sequence.

DTFT is often used to analyze work activity samples. The term discrete-time refers to the fact that change is applied to direct data, usually sampling its interval with time units.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Knowledge Booster
Nodal analysis
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
  • 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,