LTI x(t) y(t) x(t)=e -31 u(t) h(t) h(t) = 38(t) + e -12 u(t)

Q: Obtain the Fourier transform of a unit step function

A: A unit step function is defined as:   Using the definition of Fourier transform, we get,  But, unit…

Q: Explain the Fourier Transform Principle ? - What is the Fourier Transform ? A visual introduction .

A: To explain: i) Fourier Transform Principle, ii) What is the Fourier Transform?

Q: 6) Explain the progression from the Discrete Time Fourier Series to the Discrete Time Fourier…

A: We need to explain the progression from the Discrete-Time Fourier Series to the Discrete-Time…

Q: f(t) -2 -1 0 1 -t

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Q: b) This question is about the Short-Time Fourier Transform. The Short Time Fourier Transform is used…

A: While the normal Fourier transform offers the frequency information averaged across the whole signal…

Q: Determine the z-transform for x[n] = (5)"{u[n]-u[n-10]}. Sketch the pole-zero plot and determine the…

A: We need to determine the z-transform for x(n)=12n{u[n]-u[n-10]}. We need to sketch the pole-zero…

Q: A certain system is known to have the following differential equation relating output y(t) to input…

A: Given Data:A continuous-time system described by,The differential equation of andImpulse response…

Q: Find the Fourier representation of 31 2 콘

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Q: Question: The Fourier transform of e-lsin(oot)u(t) is B: D: 1 1 lh+jo-00) – 1+ jo+0) 1 1 h+j(a+oo) —…

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Q: X(jw) -117 10 -107 -97 11T Identify in each case if aliasing occurs and make a proper explanation.…

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Q: What is the difference between Laplace transform and CT Fourier Trabsform.

A: Fourier Transform converts a time domain function into frequency domain, and it is expressed in…

Q: fourier transform (DTFT)

A: Delta Function- It is also known as the unit impulse function. It's value is equal to zero…

Q: What is Fourier Transform? How is it used for transformation of signals and systems? What is…

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Q: Which of the following is not a property of a Fourier Transform? Choices: a.) Shifting b.)…

A: We need to select correct option for Fourier transform.

Q: Le-sinc(t)dt *cos(ßt)dt

A: a) Given ∫-∞∞e-atsinctdt ∫-∞∞e-atsinttdt Here, sinct=sintt

Q: Which of the following is not a property of Fourier Transform? Choices: a.) Fourier Transform of…

A: In this question we will find which is not the property of fourier transform....

Q: (a) Fourier transform of y(t) = e-2 sin(2t)

A: The function                             y(t)=e^-2|t| sin(2t)We need to find fourier transform?To…

Q: Define the Discrete Fourier Transform (DFT) and explain how it is related to the Discrete Time…

A: Discrete Fourier Transform: It is a mathematical tool to convert a sequence of N complex numbers of…

Q: W Properties of Fourier transform (multiple choices and multiple selections) Ofrequency shift…

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Q: What is Fourier Transform? How is it used for transformation of signals and systems? What is…

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Q: Describe the significance of duality in the Fourier transform.

A: Statement:By this property,if , then .if , then .

Q: Q2. What is the physical significance of Fourier transform of δ(t) becoming 1 and why does it…

A: The delta function is defined as: δt-a=ε,    For  a<t<a+1ε0,    Otherwise Here, ε tends to…

Q: (b) Χ (Ω) = 4πδ (Ω - Ωο) –

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Q: Find the Fourier transform of the following signal shown in Figure (2), using differentia property.…

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Q: how do you compute fourier transforms of functions in general (for someone who has very little prior…

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Q: What is a Fast Fourier Transform and what does it do? You don’t have to know the mathematical…

A: According to the question, we need to explain Fast Fourier Transform.

Q: 2 Use Fourier Transform Pair to calculate the following integrals. (You can wirte down the answers…

A: As per our guidelines we are supposed to answer only first question. Kindly repost the other…

Q: What will be the z transform of the DT Dirac delta function?

A: For any discrete-time function x(n), the Z transform of x(n) is given as In this case, the…

Q: The Fourier transform applied to the cosine function transform result in a the sine function. True…

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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.