2. Let S(4) = { 5 IE (0, 1] 0 otherwise. || a). Find the convolution f * f. b). Find the Fourier transform f * f. 2)

Q: What is the Fourier transform of the function 4 cos(5t) on the interval [-x, a]| Select one: O a. 4…

A: Here we have to find the Fourier transformation of the function x(t) = 4 cos (5t) Using the formula:…

Q: Find the finite cosine transform of 1 – where 0<x< T.

A:

Q: Find the fourier expansion for the function whose definition - - <x <- 2 x, - 2 (x) 0, <x< 2 2

A:

Q: Examine the discrete time Fourier transform of sin) 5nn, .cos( 2 x[n]

A:

Q: Suppose the first few Fourier coeficients of some function f in C[0,2x] are ao, a1, a2, and b,, b2,…

A: The first few Fourier coefficients of some function f in C[0, 2π] area0, a1, a2, and b1, b2, b3.

Q: TheZ- Transform. Show. that. xe ..Z X(2)_ assumeera 1.C.

A:

Q: 4. Dada la función f(t) definida para todo número real t. 3 (-1 1 ) a) Dibuje gráfica de f(t) y…

A: Given function ft is defined as: ft=3-1&lt;t&lt;0-30&lt;t&lt;10t&gt;1 (a). Since the given function…

Q: s+8 9) L-1. Is² + 4s – 9) 3s + 6 s² – 8s + 25) 10) L-1

A: Using inverse Laplace formulas we can find for the inverse Laplace

Q: Compute the coefficient Fourier an of the *-1, 0<r <a S(2) = { 0, *<I< 27

A:

Q: ansform Prove th

A: Introduction: If a function has a finite number of breaks and does not blow up to infinity anywhere,…

Q: 5 - Calculate the Fourier transform of 100 – 5t 0 <t< 20 f(t) = otherwise

A:

Q: Q2-A) Find Inverse Fourier transform of f(t) +E+ + j10ws(w) 3+jw

A:

Q: a) Draw a graph of f(t) and determine ∫_(-∞)^∞▒|f(t)| dt  b) Write the Fourier integral…

A: Since we only answer up to 3 sub-parts, we'll answer the first 3. Please resubmit the question and…

Q: Given 30<t ₹2 10 elsewhere find Fw), the Fourier transform of ƒ(t). Compute the values of F(0), F(1)…

A:

Q: 4. Determine the Fourier transform of the given function: 1 (t) = {2t - t, 2t - 1, 0 < t < 1 0<t<2…

A:

Q: 1 (1-0.5z-¹) 1 (1+0.52-¹) *?What is the z-transform of the signal x(n)=(0.5)nu(n) 1 Roc |Z| 0.5…

A: Solution

Q: Suppose that f: R-Cis a measurable function with 1+ |xf° for almost all x E R. Show that its Fourier…

A: Let, f⏜ be Fourier transform of fx. Then nth derivative of f⏜ is Fourier transform of…

Q: Let f be a C1 function on [-7, 7]. Prove that the Fourier coefficients of f satisfy | an |< K | bn…

A:

Q: T-1 S '(s-2)4 2)4]

A:

Q: 2 5) L |(s – 2)³J s+2 5) L-1 ls² + 4s + 135

A:

Q: find the Inverse Laplace Transform 5² +95 + 6 s(s+ 1)(s + 3)

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: If the Discrete Fourier Transform of the four point sequence{a, b, c, d}is given by {0,2i, 0,4i},…

A: Given that, Discrete Fourier Transform of four point sequence (a, b, c, d) is {0, 2i, 0, 4i} Here N…

Q: Q1) Laplace transform of function f(t) = t² where t 2 0 is ....... a) b)금 d) 115 11 1

A:

Q: (s-2) F(s) = [+ %3D (s-2)2 + 16

A:

Q: Show that the finite sine transform of , 0 < x < n is (- 1y*'- p

A:

Q: Find Phe Fourier tiansform X, In whot sense exist ? %3D does it

A:

Q: 2- Find the inverse of Laplace transform $45 b) (s+1)(s-3) i) Refs 3 i) Re[s]>-

A: According to the given information it is required to find the inverse Laplace transformation of:…

Q: Compute the coefficient Fourier f the f(x) = {" - T<x< 0 0<x<T

A:

Q: Find Z-transform and ROC f x(n) = {1,2,−1,2,−1}

A: Given that: xn=1,2,-1,2,-1 The objective is to determine Z-transform and ROC. Let consider,…

Q: Find the Fourier transforms of below time domain signals. (6) 19(4) 2€ (b) イと -2

A: Note "As per our company guidelines we are supposed to answer ?️only first question. Kindly repost…

Q: The Laplace transform of 1 a) √s (S-1) 1 √(√S-1) b) IC (VT) IS?

A: In this question, the concept of Laplace Transform is applied. Laplace Transform The Laplace…

Q: The Fourier Transform of * x(t) = [u(t)-u(t-2)][u(t) – u(t − 1)] 8(t - 0.5) cos(2πt) - O exp(j0.5w)…

A:

Q: Q)find the inverse Laplace transform p + 1 1) L-' (p² – 1)² 1 2) L-1 \p(p² – 1)3) 1 L-1 (p² + 1)²/

A:

Q: 2+1 a) (s+2)(s+3) -1 b) +2 c) +2a+5

A: Inverse Laplace transferom

Q: The inverse laplace transform of Select one: True O False S s4 +4 is sintsinh (t)

A:

Q: f is a function with the following Fourier coefficients on the interval [-, π] ao= - a₁ = b₁ === a₂=…

A:

Q: f(n) - (0.5)" и(п) + (1.5)" и(-п-1)- 28(п)

A: