QI: For the signal f(t), shown in figure beside. f) A i) Find Fourier Transform F(w) ii) Sketch amplitude and phase spectrum of F(w) -1 0 1

Q: Q9: A certain function of time, f(t), has a Fourier transform shown in Fig. below. Sketch the…

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Q: x[n]=[1,5,2,3,3,1,2,3] Fast Fourier coefficients for a given discrete time signal find by transform

A: We need to find Fast Fourier transform of the given discrete-time signal xn=1,5,2,3,3,1,2,3; x0=1,…

Q: A certain discrete-time sequence is given as y[n] = (-;)" u[n]. a. Find the Fourier transform of…

A: We need to find out Fourier transform of given signal in 1st part , in part we will find out Fourier…

Q: The discrete time Fourier series representation of a signal x[n] with period N is written as x[n] =…

A: Given : period N=3 Fourier series coefficients are   a(-3)=2   and   a(4)=1

Q: B Use the scaling and real-signal frequency-translation properties to find the Fourier transform of…

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Q: 1- By using exponential Fourier series, the average power of f(t)=cos(4nt)+2cos(2nt) is . 2- The…

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Q: |G|(f) G2(f) Determine the Nyquist sampling rate for the following signals -5000 5000 -12000 12000 A…

A: a) The given signal is shown below:  The Nyquist sampling rate is calculated from the Nyquist…

Q: Exercise: Find Fourier Transform for the signal g(t)=cosw,t , knowing that: F[e-jwot] = 8(f – fo)

A: So we have to find the Fourier transform of the given signal.

Q: Obtain the Fourier transform of x(t) = te-0.5tu(t) and sketch its magnitude and phase %3D spectrums.

A: In the question,  Find the Fourier transform of the x(t) signal.  Sketch the magnitude and phase…

Q: Obtain the discrete Fourier transform (DFT) of the signal given as |n – N| x[n] = 0sn< 2N N 0,…

A: to obtain the discrete Fourier transform DFT of the signal given as- xn=1-n-NN0⩽n⩽2N0otherwise We…

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

A: The detailed solution is in the image

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: Consider the signal whose Fourier transform is shown below. Let x,(t) = x(t)p(t) represent the…

A: Given signal whose Fourier transform is shown below: Let xs(t)=x(t)p(t) represents sampled signal.…

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

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Q: A continuous-time signal, x(t), has a Fourier transform denoted by X (w), and is expressed as: 0, w…

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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: x[n]=[4,5,2,1] Find the Fourier coefficients c0, c1, c2, c3 for the discrete time signal given to e.

A: Given: x[n]=[4,5,2,1] to find: Fourier coefficients c0,c1,c2 and c3 for the discrete time signal.

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: Obtain the Fourier transform of a rectangular function. Also sketch its magnitude spectrum.

A: i have explained in detail

Q: A signal f(t) is defined as f(t) = [3 cos (2nt) + 5sin(2nt)]?. Is this a valid Fourier serie…

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Q: 3. (a) Prove the frequency differentiation property -jtz(t) (b) Use this property to determine the…

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Q: *(1) = Sin(@1) sin(@i) h(t):

A: To find the fourier transform of output signal we will convert x(t) and h(t) in fourier domain and…

Q: Consider the one-sided exponential function f(t) = Ae-at u(t), where u(t) is the unit step function,…

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Q: Q#4: write in ms word in detail expalin| i) ii) iii) What are the applications of Fourier series and…

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

Q: A signal f() can be giv en by the following formula: (0 -2<t<-1 f(t) = }k -1<t<1 1<t<2 1-Classify…

A: Signals are classified into the following categories: Continuous Time and Discrete Time Signals A…

Q: Show that the Fourier Transform of the Fourier Transform, F{F{f(x)}}, and the Inverse transform of…

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Q: Discrete-time    x[n]=[1 6 2 7 8 3]  Let the N=8 point discrete Fourier transform (DFT)  be denoted…

A: Solution :    x[n] = Discrete Time Domain Signal    X[K] = Discrete Fourier Transform (dft)    Here…

Q: An analogue, non-periodic signal f is given by Set, t1 (a) write your answer in the format Find the…

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Q: Find the Fourier Transform of the signal f(t)=U(cos(at) – sin(at)) where U() is the unit step…

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Q: (A) Consider the signal whose Fourier transform is shown in Figure 1, Let x,(t) = x(t)p(t) represent…

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Q: Calculate the Fourier transform of the 'off-on-off' pulse f(t) defined by

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Q: Determine the fourier transform of the given signal by definition.

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Q: If the Fourier transform of x4(t) is X4(@), what is the Fourier transform of y(t) = x4(-2t) *…

A: Given :  Note : According to the requirement of the question here we need to answer only d part…

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: A signal f(t) can be given by the following formula: (0 - 2 <t<-1 f(t) = {k - 1<t<1 %3D 1<t<2…

A: The signal f(t) is given as:  f(t)=0    -2&lt;t&lt;-1k    -1&lt;t&lt;10        1&lt;t&lt;2  1- The…

Q: a. Which of the following is true? The Fourier transform of a unit rectangular pulse is A.…

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

Q: igital Signal Processing Subject 1. Discuss the properties of discrete fourier. 2. Compare and…

A: Solve the problem

Q: Example Find the Fourier transform of the rectangular pulse duration T and amplitude A T T <t< 2 els…

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

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: n A certain discrete-time sequence is given as y[n] = (-÷) u[n]. Find the Fourier transform of y[n].…

A: In this question we need to find a DTFT of the given signal.

Q: 6. For each of the following Fourier transform F(@), state whether the corresponding inverse Fourier…

A: The inverse of the given signal f(t) is periodic, as the spectrum of F(ω) contains pulses, that have…

Q: f(x) = -8, -2 < x < 1; 10, 1 < x < 4; 0, otherwise Find the fourier transform of the above…

A: Given:f(x)=-8    (-2&lt;x&lt;1) f(x)=   10    (1&lt;x&lt;4)and 0 otherwise.   Time shifting property…

Q: Find the fourier transform of signals shown figure below g()| 4 2 (a) (b)

A: Given signal (a) g(t)=4u(t)-2u(t-1)-2u(t-2) Fourier transform of the given signal…

Q: Q':A- A signal is given by the following expression: 2k f(t) =- G4-0号1> o' 7>1>- Find the signal…

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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.