• Let: X₁ (jw) = 2nd(w) + nd(w − 4ñ) + ñ8(w + 4π) • Use the inverse Fourier Transform to find x₁(t) and finally express x₁(t) as a cosine function.

Q: 40. Find the inverse Fourier transform off (p) = e¯ ™ Y.

A:

Q: g(t) = 10rect [²(t+³)] ej²¹ 5 ej²nfot j2πfot

A: What is Fourier Transformation: A Fourier transform (FT) is a mathematical transformation that…

Q: If f(x) has the Fourier transform F(p), then f(x) cos ax has the Fourier transform [F(p-a) + F(p +…

A: If Fourier transform of f(x) is F(p), then we have to prove that the Fourier transform of f(x)…

Q: Find the Fourier transform of f(x) without using the Fourier transform table. f(x) = e-l×l. (-0 <x<…

A:

Q: find the Fourier transform f(x) = e ¹² cos fx|

A: What is Fourier Transformation: A mathematical transformation known as the Fourier transform…

Q: a) Find the Fourier transform of 4 f(t) = e tu(t) + -tu(t) + ²9.

A:

Q: -i 5.8.2. (a) Evaluate the discrete Fourier transform of -1 1 i (b) Evaluate the inverse transform…

A: Solve each using the properties and method of determining discrete Fourier transform and inverse…

Q: Find the inverse fourier transform of f (p) =e

A:

Q: Let f(t) = e^t if 0=1   Write f(t) using step function and find the laplace transform. Also,…

A: We have to write f(t) using step function and find the laplace transform. Also, draw the graph.

Q: Find the Fourier transform of the given function. (a) f(x) = A(2x + 1). A(2x − 1)

A: As per the question we are given the function f(x) as : f(x) = Λ(2x+1) • Λ(2x-1) And we have to find…

Q: Q3: Find the following Fourier Transform using properties only: F{e=2t+6+j2(t=3)u(t – 3)}

A:

Q: Derive the Fourier spectrum of a signal that is given by z(t) = forect (2T) exp(−j10t + jt) dt.…

A:

Q: Derive the Fourier transform for f(t) = te2t for t>0 and 0 for t<0.

A: The Fourier transform of the function f(t) is represented as F(k), it is defined as ∫-∞∞e-iktf(t)dt,…

Q: 2. (a) Show that gi(t)g2(t) G₁(f) * G₂(f) where denotes convolution and gi(t) = G₁(f), 92(t)=G₂(f).…

A: We start with the time-domain signals and their Fourier transforms:Now, the convolution in the time…

Q: The complex exponential Fourier coefficients for the periodic function x(t)=t, 0<t<2 is:

A:

Q: (c) Find the inverse Z-transform of Y(2) (32 – 1)(2+4)*

A:

Q: Let x(t)=5sinc(1.5t) +6cos(7/2) and h(t)=4sind(). Determine y(t)=x(t)*h(t) using Fourier Transform…

A: Let  and We need to determine y(t)=x(t)∗h(t).To solve this problem, we list the Fourier transforms…

Q: f(d) = 2e+d[2 sin(4d) cos(2d) – 2 sin(2d) cos(4d)]

A: The given problem is to find the Laplace transform of the given function, we can use basic…

Q: Compute the Fourier transform of the following function: f (x, y) = e-(1x-y|+|x+y[)<+

A: Calculate Fourier transform: Fu,v=∫y=-∞∞∫x=-∞∞fx,ye-2πjux+vydxdy…

Q: x(t)=sin(t-3T)

A: Z transform

Q: Suppose the function f: R→ R has Fourier transform 1 f(p) = e-p². 1+ 4π²p² i. What is the Fourier…

A: As per the question we are given the Fourier transform of a function f(x) as f̂(p) From that we have…

Q: Find Fourierexpansion of the Punction fcx) = x2 XE [-T, TT] then deduce thetn = | 2' (572 (7)2t. (2)…

A: Since you have asked multiple questions, we will solve the first Question for you. If you want any…

Q: If F(p) is the complex Fourier transform of f(x), then complex Fourier transform of f(x-a) is…

A:

Q: the Inverse Fourier Transform x(t) of each signal X(w) given below. X(w) = -4 sinc² X(w) = πd(w − 1)…

A: "Since you have posted multiple questions, we will provide the solution only to the specified sub…

Q: Find the Fourier Transform of f(s) = e-ax= a >0

A: The Fourier transform of a function  is given by :

Q: Use (8), • S* f(1) dt = £^¹{F(5)}, to evaluate the given inverse transform. (Write your answer as a…

A: we know that laplace transform of e^(at) is (1/(s-a)).

Q: (b) Find the inverse Fourier transform of the following: (11) 1 √w√2π (3+jw)

A:

Q: The non-periodic function f(x) is defined by f(x) = e-l=l. Obtain the Fourier transform of f(x).

A:

Q: Find the Fourier Sine Transform of the function   if a = 7,  b = 7 , m = 5 , and n = 4. Then,…

A: The formula for the Fourier Sine Transform is :-  f^a=2π∫0∞fxsinaxdx   And we are given the function…

Q: 6 = (2) Find and draw the Fourier transform of f(t) = 9+t²

A: We have to find the Fourier transform..To find this we using cauchy residue theorem

Q: Find the Fourier transform of f(t) = [Aeat ]u(t) %3D and draw the amplitude and phase spectrum

A:

Q: 2. Find the Fourier transform of f(t) defined by: -5. -T st<0 0<tST 0 Elsewhere f() = 5. where T is…

A: