%24%23Exercise 2-2: Find the Fourier Transform of y(t) = 100cos (20nt + T/3)%3D1. First, write y(t) in the standard form, like y(t) = Acos (2nft + Ø):2. See the FT pair here:A. cos (27 fet + o) →Ac[8 (f – fe) e'® +° (f + fe) e-]3. Write the FT of y(t):9:22 PMRain...2/1/2022P Type here to searchlyBANG & OLUFSENprt scdeletehomepuaup 6d1AAdn 6dnumbackspace->#3lock9.8.5.7.3.4.7.homegedn 6dA4.entercaps lockH.K.pauseshift 1↑ shift3.N.2.B.puaup 6denterctrlaltaltctrlinsA ^ N 3USE YOUR SMARTPHONE FORdyGet more done with the latestHP ENVY x360• Reviews• Videos• Features• Specs• SupportIntel® CoreTM processor.BANG & OLUFSENProtect your privacy withPrivacy Camera Kill Switchand Fingerprint ReaderBuilt thin and lightfor those on-the-go3-way micro-edge displayAudio by Bang & OlufsenStandard data ratesSee disclaimers onproduct box

Answered: Image /qna-images/answer/2fb967ea-1622-42fd-9f16-77cac7313900.jpg

Exercise 2-2: Find the Fourier Transform of y(t) = 100cos (20nt +T/3) %3D 1. First, write y(t) in the standard form, like y(t) = Acos (2nft + Ø): 2. See the FT pair here: Ac A, cos (2ñ fat + ø) → [8 (f – fc) e'® + 8 (f + fc) e¯iº] 2 3. Write the FT of y(t):

Exercise 2-2: Find the Fourier Transform of y(t) = 100cos (20nt +T/3) %3D 1. First, write y(t) in the standard form, like y(t) = Acos (2nft + Ø): 2. See the FT pair here: Ac A, cos (2ñ fat + ø) → [8 (f – fc) e'® + 8 (f + fc) e¯iº] 2 3. Write the FT of y(t):

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

Related questions

Q: 4. A. Find the Fourier Transform of the signals below. a. x(t) = sinc²(t).cos(6mt). (Find by…

Q: H.WI: Find the fourier transform of: (1) cosw,t (2) sinhw,t (3) coshw.t D) y0 10 - sinh2t (6) y(t)…

A: The Fourier transform of the function is evaluated as:

Q: The Fourier series coefficient of time domain signal x (t) is Cx[k] = j8[k-1] – j8[k+1] + 8[k+3] +…

A: x(t) = summation(cn exp(j2*pi*t)) Where cn is the fourier series co efficient.

Q: a) Figure 4 below shows a rectangular pulse. i. Derive the Fourier transform for x(t) using…

Q: applying a fourier transform we find the results for the basis function k=3 is as follows.…

A: We need to convert the Cartesian to polar form .

Q: 2() P2: Find the Fourier series coefficient of the following signals. A1 a) z(t)–1 + con(4e) +…

Q: Solve for the Discrete time Fourier Transform using the MANUAL METHOD or by using equations. 2. X(k)…

A: Given : In the question they have already mentioned the discrete fourier transform of a discrete…

Q: For the given Fourier transform equation what is x(t)? 00 X(w) = e (5+ ju)td(t) 7.

A: Fourier transform

Q: Q5: Write a representation of f (t) shown below as a complex exponential fourier series. Over…

A: Solution a

Q: H.W: Find the Fourier transforms of the following signals: (a) x(t) = 1 (b) x(t) = ejwot (c)…

A: In this question we will find Fourier transform of given signals..

Q: Using Fourier Transform, determine Vo(t) of the circuit when Vi(t) = et u(-t) + u(t) V. Use transfer…

Q: If the Fourier transform of x(t) is X(w), what is the Fourier transform of x(3(t- 2))? O 1/3…

A: In this answer we will find the Fourier transform as explained below.

Q: Determine the Fourier transform of the function f(t)=sin^2(2pi*t/T). How many terms are needed to…

A: We need to find out Fourier transform of given signal .

Q: Question 1 Below is a system that makes quadrature amplitude modulation. Message signals are m1 (t)…

A: (a)

Q: The Fourier Transform of - 8(t – 200m) 1 Ο α. O a. E-0 20g 8(f – 200) O b. Ln=-o∞ 8(f – 200) O c.…

A: Given : In the given question they have mentioned a impulse train function and they want to know the…

Q: Find the fourier transform of the following signal. (a) eatu(-t) (b) t"e-atu(t) (c) ejwat

A: Since you have asked multiple questions in a single request, we will be answering only the first…

Q: Assume that z(t) and y(t) are both periodic signals with a period of T, and Fourier series…

A: We will use time reversal property to find fourier series representation of z(t). According to time…

Q: Fourier Transforms: Why is the Fourier Transform of U[n] = z/(z-1) but for 1 it is delta(n)? Can you…

A: Let x(t) be a continuous time function and x[k] is its Discrete sequence then x[k] can be found from…

Q: A portion of a repetitive voltage (E(t)) waveform is :shown below. Find a. The type of waveform…

A: As per the rules we can answer only 3 sub-parts, please post the remaining sub-parts as the separate…

Q: 1. Find the Fourier transform for the following signals -3t (a) e ³t (u(t+2) – u(t – 3)). (b) e-at…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Fourier transform if XCF) = S 5x XCt). jexft.dt X(t)-2 Cos (3xfet) find XCF) and plot.

Q: ] The Fourier series coefficients of the continuous time signal z(t), which is periodic with period…

A: If the Fourier series coefficient of signal x(t) is aK . find the Fourier series coefficient of the…

Q: In the following, write out the Fourier series for the following. You should do the integrals…

Q: The fundamental periods of the signs x(t) is given as T. The Fourier series coefficients of x(t) is…

A: In this question we have to use the properties of the Fourier series coefficients. Time shift…

Q: 2.35. Show that the Fourier transform of x(t)= e-*² is X(f) = e-f². This is an example of a signal…

Q: QUESTION 2 A signal o(t) has a Fourier transform G(f) What is the Fourier transform of the…

Q: Given that lim f() =0 and limf()= 0, find the Fourier cosine transform Fc[12f"(3)]. OA -r - ofc()…

A: The fourier transform is used to transform the time domain expressions in frequency domain. The…

Q: Q1. Find the Fourier Transform of the signal x(t) = u(t – 3)

A: As per the guidelines of Bartley we supposed to answer first question only for solution of remaining…

Q: X₂(f)shown in figure (1) are combined to form 10-4 X₁(f) 10-4 X₂(f) -5 kHz 0 5 kHz -10 kHz 0 Figure…

Q: Find the Fourier transformat f(x) f(x) = {x if or ca otherwise

A: The above question is based on the calculation of the Fourier transform.The Fourier transform of…

Q: Q2) a) Find the inverse Fourier transform of the signal G(f) = rect [(2nf+ 8)/2n] %3D b) Determine…

A: We need to find inverse Fourier transform and Fourier transform .

Q: 1. Find the Fourier transform of the following functions: a) e-3jwot+5 1 b) ejwot+5cos5jwot

A: Solution (a) - Given,y(t) = 5e-3jω0t+5Simplifying the above function,y(t) = 5e-3jω0t+ 55y(t) =…

Q: sider a function r(t) with a period To =1 and Coz =-2 en another function: y(t) =-a(t – 3) + 4 1 the…

A: Correct option is d .

Q: TF [f (t)] denotes the Fourier transform of a function (f). Show that TF [f(t)] = -2j J, f(t)…

Q: HiW. 2 D Find the Fourier expansion for the Function fit) = t- t³ intervad in the %3D

A: Note: We are authorized to answer one question at a time, since you have not mentioned which…

Q: Compute the Fourier transform of the sequence, x(n) given below. Sketch phase and amplitude plots…

Q: 1. Find the Fourier transform of the following functions: a) b) elot+Scossjwat

A: Part (a) - The given fucntion is,h(t)=5e-3jω0t+5h(t)=5e-3jω0t+55h(t)=5e-3jω0t+1h(t)=5e+3jω0t+1

Q: Consider a periodic signal a(t) with Fourier series coefficients Cka period To = 1 and Co = -2 The…

Q: 4. Consider the following function: f(t) = 3je-18t + cos(4πt) + 6+³ 18t j (a) What is Im{f(t)}? (b)…

Q: Q3: Find the Fourier transform for and plot |X(f)|: x(t) = 4 sin(8t) e-11t rect(t/6)

Q: Using the definition of Fourier transform F(a)=f(t)e-ltdt The Fourier transform of f(t)- e*u(-t)…

Q: Consider a function a(t) with a period To = 2 and Coz = 3 Given another function: y(t) = -4x(t – 2)…

Question

%24
%23
Exercise 2-2: Find the Fourier Transform of y(t) = 100cos (20nt + T/3)
%3D
1. First, write y(t) in the standard form, like y(t) = Acos (2nft + Ø):
2. See the FT pair here:
A. cos (27 fet + o) →
Ac
[8 (f – fe) e'® +° (f + fe) e-]
3. Write the FT of y(t):
9:22 PM
Rain...
2/1/2022
P Type here to search
ly
BANG & OLUFSEN
prt sc
delete
home
pua
up 6d
1AA
dn 6d
num
backspace
->
#3
lock
9.
8.
5.
7.
3.
4.
7.
home
ge
dn 6d
A
4.
enter
caps lock
H.
K.
pause
shift 1
↑ shift
3.
N.
2.
B.
pua
up 6d
enter
ctrl
alt
alt
ctrl
ins
A ^ N 3
USE YOUR SMARTPHONE FOR
dy
Get more done with the latest
HP ENVY x360
• Reviews
• Videos
• Features
• Specs
• Support
Intel® CoreTM processor.
BANG & OLUFSEN
Protect your privacy with
Privacy Camera Kill Switch
and Fingerprint Reader
Built thin and light
for those on-the-go
3-way micro-edge display
Audio by Bang & Olufsen
Standard data rates
See disclaimers onproduct box

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

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

1. (a) What is the Fourier Transform of x₁(t) = e-t? (b) What is the Fourier Transform of xp (t) = e-ticos (2t)? (c) What is the Fourier Transform of xc(t) = 1 1+t² -?
(a) Figure 1 shows a signal x(t). At) 2 -2 Figure 1 i. Write the equation for f(t) in terms of rectangular function. ii. Determine the Fourier transform of ft) based on the answer in Q1(a)(i). Usually, a Fourier transform can be obtained using different properties. Using differentiation property, find the Fourier transform of flt). (b) Determine the Fourier transform of g(t) = 9sinc²(4t). What property/properties involved? (c) An LTI system generates the output y(t) = (e-2t – e-3t)u(t) in response to the input x(t) = e-2ªu(t). Determine the unit impulse response h(1) of the system.
Q1) In Figure below(a), a system is shown with input signal x(t) and output signal y(t). The input signal has the Fourier transform X(jw) shown in Figure below.(b). Determine and sketch Y(jw), the spectrum of y(t) pls list the full step and the equation
JAssume that z(t) and y(t) are both periodic signals with a period of T, and Fourier series coefficients for r(t) and y(t) are as and by respectively. If z(t) = r(-t) + 5y(-2t), what is the Fourier series coefficients for z(t)? Select one: a. Ck = a - bk b. c = ar + by %3D C. Ck = ak -5b d. Ck = a k+ 56 k O O O
i) Find the Fourier transform for the signal x(t) given in Figure 1. ii) system has impulse response given h(t) = e-2tu(t). If the signal x(t) ispassed through the system, determine the output signal y(t) using Fourier analysis jw jw e 2 -e Hint: sinc (e) ja
3 Consider the circuit shown below. Find the Fourier transform of vole), where R1=30 0 R2-60 C=50 mF 1,(t)=2e-3u(t) A R13 R2 i, ww
Find the Fourier series of f(x) as given over one period and sketch f(x) and partial sums: 4. f(x)= 3x² (-n < x < n)
Q3: Find the Fourier transform for and plot |X(f)]: x(t) = 4 sin(8t) e-/11t rect(t/6)
If Fz(t)) = e 3ju find Fourier Transform for e 2* 1(t) %3D Select one: O a. Fle-2* z(t)] = 1 O b. Fle 2jt z(t)1 - e-3jwe-6j O . Fle-2jt z(t)] =e 3(w-2) O d. Fle-3*z(t)] = e %3D 3ju %3D Oe. Fle-2ta(t)]-e을 ju-
6) Find the Fourier transform of the figure given below. sin f T 7) The signal below is modulated signal with carrier Cos(10t). Find Fourier transform of this signal using Tables in the textbook, and sketch amplitude and phase spectra. T
Consider a function x(t) with a period To = 2 and Co = 3 Given another function: y(t) = -4x(t – 2) – 2 Find the Fourier coefficient C, in terms of the Fourier coefficient C: Select one: O Ciky = Ce-jk2n O Cky CejkAT O Cku = Cejk2m O Chky Crkn
If F2(t)] = eju, find Fourier Transform for æ(t – 3) %3D Select one: O a. F[z(t – 3)] =1 b. F[z(t – 3)] = e Bjw e=3jt %3D O c. F(z(t – 3)] = e-6jw O d. F(z(t – 3)] = e