1. The following four facts are given about a real signal x[n] with discrete-time Fourier transform x(el"): x[n] = 0 for n > 0 • x[0] > 0 Im{X(el@)} = sin w – sin 2w %3D Lx(e/«)l°dw = 3 1 Determine x[n].

Q: x(0)=4, x(1)=3, x(2)=2, x(3)=1, x(4)=0, x(5)=0 give as, x(n) series ( 0≥ ? ≥ 5 ). a) calculate x(k)…

A: We need to find Fourier series coefficient For given discrete signal . We will do it by using direct…

Q: If x[n] is input to a discrete time LTI system with impulse response h[n], find the Fourier series…

A: For the given  x[n] = ∑δ[n-4k]k=-∞∞ h(n) = 1,0≤n≤2-1-2≤n≤-1 coefficients of y(n) is calculated as…

Q: Ex. 947. Given x(t)=10 volts on the interval t=[50,100] milliseconds and x(t)=0 elsewhere. Determine…

A: We need to find out the Fourier transform of a shifted reactangular pulse , we know Fourier…

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

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Q: (a) A discrete-time signal with fundamental frequency w, is expressed as x[n] = 8 – 6 sin? w,n+4cos…

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Q: Consider a real signal x [n] with Fourier transform X (). Show that x[n] can be written as x[n] = |…

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Q: the following periodic sequence x[n]={…4,3,2,1,4,3,2,1,4,3,2,1…}. Determine the period and Fourier…

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Q: 1) An analog signal x(t) = cos(320at) + 2 cos(480t) – cos(960xt ) is sampled with sampling frequency…

A: The analog signal is xt=cos320πt+2cos480πt-cos960πt For the Nyquist frequency…

Q: 4. 17. N = 512-point discrete Fourier Transform of an array with real values Is calculated.…

A: Discrete Fourier Transform (DFT) is used to transform a discrete finite duration signal in to…

Q: Consider the signal x(n) = {2,–1,5,-1,2} (value:5 @n=0) with Fourier Transform X(@). Compute the…

A: We will find out value for given function at particular frequency.

Q: 1) An analog signal x(t) = cos(320t) + 2 cos(480nt) – cos(960rt ) is sampled with sampling frequency…

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Q: Find N-point Discrete Fourier Transform for the signal hr = 108[k]- 0.5 8[k – 2] §1 for k = 0 where…

A: Formula for N-point Discreet Fourier Transform for any signal x(n) is: Xn=∑n=0N-1x(k) e-j2πNkn…

Q: 1) An analog signal x(t) = cos(320nt) + 2 cos(480t) – cos(960rt ) is sampled with sampling frequency…

A: (c)  The sampled discrete signal x[n] is given as, x(n) = x(nTs)x(nTs) =…

Q: 3.37. Consider a discrete-time LTI system with impulse response h[n] = Chap. 3 Problems 261 Find the…

A: Given: Consider a discrete-time LTI system with impulse response: hn=12n To find: Find the Fourier…

Q: 1) An analog signal x(t) = cos(320rt) + 2 cos(480t) – cos(960rt ) is sampled with sampling frequency…

A: consider the given question;

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: (1) Consider the discrete-time signal x(n), with Fourier transform given by N(ej«) D(eju)' X (c") =…

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Q: (a) A discrete-time signal with fundamental frequency w, is expressed as x[n] = 10 – 4 sin? w,n +…

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Q: (1) Consider the discrete-time signal r(n), with Fourier transform given by N(ejw) D(ejw)' X(ej") =…

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Q: 4) Consider a real signal x[n] with Fourier transform X(N). Show that x[n] can be written as x[n] =…

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Q: n+1 x[n] = 28[n] ve h[n]=-)* u[n] %3D y[n] = x[n]*h[n] be defined as the convolution of two signals…

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Q: 953. Given a two-sided exponential function: peak value 1 volts and time constant 80.0 ms, evaluate…

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Q: Briefly explain the behavior of the transfer function of an ideal low-pass filter with a bandwidth…

A: We need to explain the behaviour of the transfer function of an ideal low pass filter.

Q: 1. Determine the Fourier transform of a CT signal using Integration form 2. Determine the Fourier…

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Q: Question 02: Consider a DT periodic signal: |n| 'N

A: Signal- The signal is a physical phenomenon that contains information. Mathematically signal is…

Q: 2) The input signal to an ideal sampler shown below is, e(t) = 4 Cos 5t Fourier Transform of Cos wit…

A: 2) The input signal to an ideal sampler shown below is , e(t)=4 cos 5t fourier transform of  cos…

Q: Consider a continuous-time ideal highpass filter S whose frequency response is So, l삐 20 When a…

A: Consider a continuous-time ideal highpass filter S whose frequency response is: H(jω)=0ω≤201ω>20…

Q: i) Obtain the discrete Fourier transform of the N-point frequency samples for the input using…

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

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Q: A signal f(t) is sampled at a rate of wo rad/s to give a sampled signal fs(t). The Fourier transform…

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Q: Suppose x(t) is a continuous-time signal whose Fourier Transform magnitude function is given by the…

A: The time domain signals can be continuous or discrete. The time domain signals can be periodic as…

Q: Calculate discrete Fourier transform for the following non-periodical discrete signal.

A: The given non-periodic discrete signal is,

Q: 1) An analog signal x(t) = cos(320rt) + 2 cos(480rzt) – cos(960rt ) is sampled with sampling…

A: Given analog signal is - xt=cos320πt+2cos480πt-cos960πtfs=640Hz

Q: FM modulations. Consider a message signal m(t) = cos(100Tt) and a carrier wave c(t) = 4 cos(4000rt).…

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Q: A- Calculate the Inverse Discrete Fourier Transform (IDFT) of the function: x (k)= (5, 3 – 2j, –3,…

A: According to the bartleby's guidelines we have to solve only one question posted by students so…

Q: Problem 6.X1 The Fourier transform of the continuous time signal x(t) is given by the following…

A: The minimum frequency is =10π As it is known that minimum sampling frequency is to be double of the…

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

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Q: For two signals x,(n) = {1, -1} and x2(n) = {1 , 3}, a) Calculate 2-point Discrete Fourier…

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Q: (a) Let x(t) be a signal with Nyquist rate w,. In other words, X(w), the Fourier transform of x(t),…

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Q: 2. Let s[n] be the input to each the three LTI systems with frequency responses shown below. Let c…

A: Let s[n] be the input to each of the three LTI systems with frequency response shown below. Let ck…

Q: Discrete-time x[n] N=6 point discrete fourier transform X[k]=[2 6 2 8 8 4] (x[n] ↔ X[k])…

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Q: 4.32. Determine inverse Fourier transform of 2jo+1 (ja+ 2)2 (i) X(@) = by partial fraction…

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Q: Consider the signal w(t) expressed as below, 10 w(t) = 1+(20t)² %3D (a) Find W(f) using the Duality…

A: A continuous-time signal is given by wt=101+20πt2. We know that according to duality-theorem,…

Q: Let x[n]=[1 -1 0 3], then the discrete Fourier transform (DFT) X[k] ) [3 , 1+4j, -1, 1-4j] ) [4, ,…

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Q: Q1: For the signal f(t), shown in figure beside, given that: f(0)=2 and tl=1. i) Find Fourier…

A: given fig. i) Fourier transform F(W) F(w) =  ∫-∞'∞f(t)e-jwt dt        = ∫012(t)e-jwt dt

Q: 2. Consider a linear time-invariant channel having impulse response h(t)=5(t)+26(t-2)+ 8(t-4) a.…

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Q: Determine the signal, x(n), having the Fourier transforms of X (0) = cos²0 © (1/4) [ 8(n+2) +…

A: Given here the fourier transform of x(n) is X(w)=cos2w. here we have to find the signal x(n). We…

Fourier Transform

In mathematics, the Fourier transformation is a mathematical transformation that rotates responsibilities by using region or time into tasks depending on the local or temporal frequency, such as the rendering of a musical track in step with existing volumes and frequencies. The term Fourier amendment refers to each illustration of the frequency range and the mathematical functionality related to the representation of the frequency domain and the function of space or time.