Problem 2. For y=x[n]-2x[n-1]±x[n-2]e(a) Derive the frequency response function in theory by doing a z transform to the time domainequation. Express the result in polar form. e(b) What are h[n] and its Fourier transform?(c) Sketch the magnitude of the frequency response function. e(d) Write a Matlab program to obtain the H(jw). Compare the theoretical and experimental H(w)both in amplitude and in phase. e(e) For an input function x[n]=2sin(2 n/2)+3*cos(2 n/8), predict its output based on theoreticalHjw). In Matlab, obtain output y[n] and compare Matlab output with your theoretical prediction."kf) What is the expected auto-correlation coefficient for y at lags -3 to 3. if x is a random sequence.Verify it in Matlab.

Frequency-Response Method – Frequency response is the steady-state response of a system to a…

Problem 2. For y=x[n]-2x[n-11+x[n-2]e (a) Derive the frequency response function in theory by doing a z transform to the time domain equation. Express the result in polar form. (b) What are h[n] and its Fourier transform?

Problem 2. For y=x[n]-2x[n-11+x[n-2]e (a) Derive the frequency response function in theory by doing a z transform to the time domain equation. Express the result in polar form. (b) What are h[n] and its Fourier transform?

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: Define the following transforms and explain how they are related to each other: • Discrete time…

A: Since we are allowed to answer only up o first three sup parts of a question the below solution…

Q: B) Use the differentiation in time and differentiation in frequency properties to determine the…

A: Given,xt=12π e-t22 .....(1)or xt=Aoe-αt2 .....(2)By (1) and (2)Ao=12π, a=12xt=Aoe-αt2By definition…

Q: 2. a) Find the frequency response of the causal LTI system whose difference equation is given below.…

Q: 3.11 The message signal m(t) has the Fourier transform shown in Figure P-3.11(a). This signal is…

A: According to the question, for the given communication system as shown below we need to find Here…

Q: 3.5. Let x1(t) be a continuous-time periodic signal with fundamental frequency wj and Fourier…

Q: Find fourier transform of f(x) defined by f(x)=e² ,-∞ <x <∞

A: The detailed solution is in the image

Q: (A) A rectangular pulse x(t) of width t= 6 msec. and amplitude A=12 V is centered at the origin in…

Q: 1. Find the Discrete Fourier Transform (DFT) of {x(0), x(1), x(2), x(3)} = {i, 1, 2, 0}, N = 4.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Given the magnitude of the Fourier transform of a bandlimited signal, as shown |H(jw)| -В B Where B…

A: Given signal is = Given values are =

Q: A bandpass signal is given by s(t) = 100sin(w.t + wmt) + 500coswet – 100sin(wat – wmt) where we = 2m…

A: Note: As per our policy, I have attempted the first three subquestions. Given data:…

Q: Example: Find the Fourier transform of the triangle function (a-1r)) (-astsa) f (1) = (otherwise)…

A: In this question we need to find a Fourier transform of the given signal. Dear student the answer…

Q: Compute discrete time Fourier Series coefficients and obtain discrete time Fourier series…

A: Given n=5 x1[n]=cosπ4n x[n]=∑k=-∞k=∞ x1[n-4k]u[n-4k]-u[n-4k-4]

Q: Consider the following continuous time system that has input signal z(t), and output signal as y(t)…

Q: Question 6. Given, the following function |-2x, -zs1<0 S(1)=- | 2.x, Ost<z -St<0 , and f(t+4x)=f(t)…

A: We need to draw and find out whether the given signal is odd or even and we need to find out Fourier…

Q: Take v(n) = {1, 2, –1}. If vi(n) = v(n) – v(-n), find the Fourier transform (FT) of v, and v1. -Is…

A: Given : Note: In the above mentioned questions are not interlinked to each other, hence according…

Q: 4) Consider a periodic signal f(t), with period To, that has a value of T/2t in the interval -t <t <…

A: The exponential Fourier series of the signal is given by: Where, The Cn is given by: A: To…

Q: A transmitter generates message signals that are described by a baseband stationary random process…

A: A transmitter generates message signals that are described by a baseband stationary random process…

Q: QUESTION 3 a. Consider the aperiodic signal of Figure Q3(a), xı(t). What is its Fourier Transform,…

A: X1(ω) = ∫-∞∞x(t)e-jωt dt = ∫-2-1 A e-jωt dt +∫21 A e-jωt dt=A e-jωt-jωt=-2t=-1+A e-jωt-jω21…

Q: a. Show that 2-D discrete Fourier Transform of a M × N digital image is periodic. That is, you must…

A: a. Show that 2-D discrete Fourier Transform of a M × N digital image is periodic.That is, you must…

Q: (A) A rectangular pulse x(t) of width t= 8 msec. and amplitude A=10 V is centered at the origin in…

A: As per our company guidelines we are supposed to answer only first 3 subpart kindly repost other…

Q: N(3) (2) Consider the discrete-time signal z(n), with a z-transform X(2) = and a ROC, which %3D…

A: (a) Find the poles and zeros for the function X(z).

Q: (c) What does it mean for a system to be BIBO stable? Which region(s) of the z- plane correspond to…

A: BIBO STABLE: A system is said to be BIBO stable, for a given bounded input(finite amplitude signal)…

Q: [Part C-C3 (A) A rectangular pulse x(t) of width t= 8 msec. and amplitude A=10 V is centered at the…

A: Given : Amplitude of the signal A = 10 V Width of the signal T = 8 m Sec. Here first of all…

Q: -1, t0' %3D a. Show that the Fourier transform of sgn(t) is 2/jw. b. Show that the Fourier transform…

A: As per our guidelines, we can only answer one question at a time. Please resubmit the other…

Q: m(t) M(f) b 2b

Q: (A) A rectangular pulse x(t) of width t= 2 msec. and amplitude A=6 V is centered at the origin in…

A: 1- Given rectangular pulse= x(t) As it is a rectangular pulse, it will be the combination of two…

Q: 1.- Let r = (ro, X1,..., IN-1) € CN. Compute the discrete Fourier transforms of the following…

A: We need to compute the discrete Fourier transforms of the following vectors with components given…

Q: From example 2.6, we know rectangular pulse train y[t) in the frequency domain can be expressed by…

A: (1) Write the expression for the Fourier series coefficient.

Q: (a) Determine whether the functions given can be represented by a Fourier series (i) x(t) : (ii)…

Q: Question 2 The complex Fourier series coefficients of a Discrete-Time periodic signal x[n], with…

Q: Take the periodic input with period 4, and values in the range of indices 0, to 3 given as х 3D {1,…

A: "According to the Company's policy we will provide solution of the first part the question as to the…

Q: 4) Determine the Fourier transform of the wave train given by E(x) = P(x)cos²kpx, where P(x) is the…

A: According to the question,

Q: 2) Consider a periodic signal f(t), with period T, that has a value of T/2t in the interval -t A)…

A: The signal shown in the question is an even function. The Fourier series of an even function contain…

Q: Consider a real sequence x[n] with period N =5 and if c̟ is the complex Fourier series coefficient…

Q: 2. a) Find the frequency response of the causal LTI system whose difference equation is given below.…

Q: Consider the two finite-length sequences, x(n) = (3, 2, 4), Osns2 5/ 10 x(1n) = {2, -1, 2}. Osns2…

Q: Consider the following continuous time system that sums two input signal z1(t) and z2(t) with aj and…

A: Any continuous time periodic signals can be represented as an infinite sum of sine and cosine…

Q: Q3) For the discrete-time signal, x[n] = (;)™| Where In| is the absolute value of n, (a) Find the…

A: Discrete-time Fourier transform (DTFT) is a linear transformation from the discrete-time domain to…

Q: A function y=Rx) is defined by Domain ,: xe (,+){±2,±6,±10,±14,..} (3 if - 2< x<0 S(x)=? 3-x if 0<x…

Q: The discrete time periodic signal x(n)={2,1,-4,2} has the Fourier coefficients given as…

A: Given: A discrete-time signal xn=2,1,-4,2 with period N = 4 has Fourier coefficients as…

Q: B-Given the Fourier transform X(f) of x(1), How would you obtain Fourier transform of x² (1) ?

A: In this question we need to find a Fourier transform of the signal x2(t)

Q: B- Let f(t) be the 2n- periodic function defined over the interval (-t, A) by: [o if -n <t < 0 f(t)…

Q: Q2) A signal m(t) has a Fourier transform 1. fi < Ifl < f2. fi = 1 kHz ; f2 = 10 kHz %3D M(f) 0.…

A: Communications

Q: 4) If the Fourier transform of the signal x [n] is X(e"), what is the value of the Fourier transform…

Q: a) Fourier transformation of a continuous-time function is given below. Using inverse fourier…

A: Part (a): The mathematical expression for the inverse Fourier transform is given by:…

Q: 2.26. Using only the Fourier transform of the unit im- pulse function and appropriate transform…

Q: (d) Let {Xo, X₁,..., Xn-1} be a finite realization of a time series with fast fourier transform…

A: Given: Time domain sequence, x(n) as {x0, x1, x2, ...........xN-1} having FFT X(wk) as {X(w0),…

Q: Q3) For the discrete-time signal, In| xln] = () Where |n| is the absolute value of n, (a) Find the…

Question

Problem 2. For y=x[n]-2x[n-1]±x[n-2]e
(a) Derive the frequency response function in theory by doing a z transform to the time domain
equation. Express the result in polar form. e
(b) What are h[n] and its Fourier transform?
(c) Sketch the magnitude of the frequency response function. e
(d) Write a Matlab program to obtain the H(jw). Compare the theoretical and experimental H(w)
both in amplitude and in phase. e
(e) For an input function x[n]=2sin(2 n/2)+3*cos(2 n/8), predict its output based on theoretical
Hjw). In Matlab, obtain output y[n] and compare Matlab output with your theoretical prediction."
kf) What is the expected auto-correlation coefficient for y at lags -3 to 3. if x is a random sequence.
Verify it in Matlab.

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!

SEE SOLUTION Check out a sample Q&A here

Theory

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

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

Question: One of the limitations to spectral analysis is the inability to temporally localize spectral events. To overcome this deficiency, a class of so-called time x frequency transforms can be used. One of the simplest functions is the short-time Fourier Analysis functions. a) Provide a real example (cite the reference), b) Discuss the solution from a theoretical point of view. Please comment each passage and expand every possible equation.
I don't understand how this is the answer? I am confused on how to find the phase of this fourier transform..
What are some cool/interesting applications of Fourier Series or Fourier Analysis that are not mentioned a lot?
XICO -4 P<Ł) n write 4 t the equation For above. graph p(t) in term of act/%) and 0 (t/Y₂) and in the process. Find value For Y₁ and Y₂) @ Find Fourier trons Form? S Calculate ***** energy of graph.....
Briefly describe the differences between Fourier Transforms and Discrete Fourier Transforms.
Trying this one again because I really need it, please help! Question: One of the limitations to spectral analysis is the inability to temporally localize spectral events. To overcome this deficiency, a class of so-called time x frequency transforms can be used. One of the simplest functions is the short-time Fourier Analysis functions. a) Provide a real example (cite the reference), b) Discuss the solution from a theoretical point of view.
Which of the following is not a property of Fourier Transform? Choices:a.) Fourier Transform of an Integralb.) Asymmetryc.) Operational Formulad.) Reversal
what is image processing in Fourier transforms with given a necessary sketches and equations.
Fourier Analysis is a powerful analytical tool used in engineering. Describe why it is useful and give some physical examples where it may be implemented.What are the limitations of Fourier Analysis and explain the reasons why
4.10. (a) Use Tables 4.1 and 4.2 to help determine the Fourier transform of the following 4.10. (a) Use Tables 4.1 and 4.2 to help determine the Fourier transform of the followi. signal: 2 sin t udeupe zlearlid/2 x(t) = t TTt (b) Use Parseval's relation and the result of the previous part to determine the nu- merical value of 4. A = pulay or on sin t dt oy se Tt
Hello, I have a physiology graphing question! What is a Fast Fourier Transform and what does it do? You don’t have to know themathematical details, just what does the graph you look at in the end tell you.
Find the Fourier transform of the signal in figure 4. Q5) Find the trigonometric Fourier series of the periodic signal in figure 5. Fu