Determine the Z Transform of the following system. Kindly upload your answer sheet in a PDF format. * ()". n > 5 x(n) = 0. n<4

Q: 10. Solve the following IVP using Fourier Transform: -00 0, u(x,0) = e, -0 <r < oo.

A: Given ut=uxx, -∞&lt;x&lt;∞, t&gt;0u(x,0)=e-x2, -∞&lt;x&lt;∞

Q: 3. Find thei z transform of thể fallowing Signals. di x(k)=() ü (k-1)

A:

Q: Consider the discrete time periodic signal {yn}=(...12,4,2,6,12,4,2,6,....}. The period n=4. Compute…

A: We are given the discrete time periodic signal {yn}=(...12,4,2,6,12,4,2,6,....}. Here, the period is…

Q: Determine the Laplace transform of the following 5t3 + 4t2-3

A:

Q: 4. Find the inverse z- transform of the following 3 de XCZ)= tanh (z-)

A: Given: Let us find the inverse z-transform of the given following, xz=tanh-1z2-14

Q: A continuous-time signal is sampled 44,100 times per second, resulting in a sequence of values…

A: Introduction: The Z-transformation is a discrete type transformation with which we can transform a…

Q: Find the inverse Laplace transform of: (b) - .2

A:

Q: Find the Hankel transform of xve-ax, taking

A:

Q: By using the Fourier transform, find a solution for the following problem

A: Given: The fourier transform is,  P  ut  t , x  = 4 uxx t , x + t + et  ,   x∈ ℝ , t&gt;0u 0 , x   =…

Q: Find Fourier transform for f (t-2)

A: We have to solve given problem:

Q: 3. Find the inverseapl transform of: A + 253 + 3s2 + 4s +5 s(s + 1) F(s)

A:

Q: I. Find the inverse Laplace Transform of the following а. s3-5s

A:

Q: Find the inverse Z-transform of

A:

Q: Find the Laplace transform of e-4t cos6t.

A:

Q: 2. Find the inverse transform of 2s² +5s-6 $³3s2-13s +15

A:

Q: 2) There is a function F (s) with "different true root state". Make the inverse laplace transform of…

A:

Q: Obtain Z-transform of ( G) -e-Ts S \s+1

A: Consider the given function: X(s)=1-e-Tss1s+1=1-e-Tss(s+1)

Q: Determine discrete time Fourier transform for the given signals. x(n) = 3(2") и(-п) —

A:

Q: Confirm that the standard Fourier forward transform of the double-sided decaying exponential signal…

A:

Q: Compute the Fourier transform of the following function: f(x) = e-a(r-x0)²+iqx (5) where a > 0 and q…

A:

Q: 10. Solve the following IVP using Fourier Transform: -00 0, u(x, 0) = e¯**, -00 <x < o0. %3D

A: Given: Let us consider the given, ut=uxx,              -∞&lt;x&lt;∞,   t&gt;0ux,0=e-x2,…

Q: FIND THE FOURSER . COSINE FRANSFORC? OF tix) = 11 2. 1+x² Hence DERS VE FOURLER IRAS SINE transForm…

A:

Q: 4. Find the inverse z-transform of X(Z) = (22-4) (2+3) Xx and also find o, 1,

A:

Q: What is the Fourier transform of the following e-j10ntx(t)

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

Q: Determine the causal signal x(n) if its z-transform is given by 1+22-2 1+z-2

A:

Q: Solve the following initial value problems by Laplace transform technique

A: We have given a differential equation ,  y'' + 2y' + 5y = 50t - 100   ,  y2 = -4  , y'2 = 14 This is…

Q: If you have a sequence x[n] with the following Fourier Transform: X(elu) = 4cos(3w) then the Fourier…

A: Given that, xejw=4cos3w From the properties of discrete sine fourier transform,…

Q: Q11) Determine if 8 (t) and 8' (t) even or odd by utilizing properties of Fourier transforms. What…

A: Given: δ(t) and δ'(t) are real functions. Fourier Transform property : Fourier Transform of even and…

Q: 5. Find the Fourier transform of f(x) = 5 if lxl<1 and f(x) = 0 otherwise.

A: The function f(x) is a rule that associates or fixes a number to the particular point x. The Fourier…

Q: Consider the IVP: y" - y' + 2y = 8sin(2t) - 8, with y(0) = -2, y'(0) = -4. Solve the IVP by using…

A: Given IVP is y''-y'+2y=8sin2t-8              (i) With y0=-2, y'0=-4 Taking Laplace transformation of…

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

A:

Q: Determine the inverse Laplace 2s +3 transform of (s+4)

A:

Q: 7. Find the canonical form of (x+y+z)². Also specify the corresponding orthogonal transforma-

A: Given expression is x+y+z2. We have to find the canonical form of x+y+z2. Expand x+y+z2, we get…

Q: *: Obtain Z-transform for the Followings 1) x(t) = Coswt 2) x(s) (sta)2 3) x(s) = s(s+1)

A: We have to use standard z transforms.

Q: What is the inverse transform of 25 s³(s²+4s+5)

A: The inverse transform is used to convert frequency domain  function in to the the time domain. The…

Q: Find z-transform of the following equation x[n] = 28[n] + 38[n–1] + 58[n–2] + 28[n– 3]

A: Z transform of x(n) is X(Z)  and  Z transform of del(n) = 1  Z transform of del(n-k) = z^-1

Q: The Laplace transform of fsin 2t is Select the correct answer Oa 4-2 Ob 4s Oc 1 Od 452-s Oe 2-45 Of…

A: We need to find the Laplace transform L{tsin2t}. We will use the formulas for Laplace transform to…

Q: Let ω be the 8th root of unity and the quantum Fourier transform is defined using this ω. Under this…

A: Given: 'ω' be the 8th root of unity  Quantum fourier transform (QFT), under which we have to check…

Q: The multiplier e-st in the Laplace Transform is called the the transform

A:

Q: find Z-Transform for the Z{(2k- cos3k)²}

A:

Q: N (z−2)²

A: Follow the steps.

Q: The Laplace transform of t sin(3t)is : 30s2-54 (s2+9)3 12s-54 (s2+9)% 18s-54 (s2+9)2 12s2-54 (s?+9)?…

A: We find the last transform of t2sin(3t)

Q: Obtain the inverse transform of the following 2s-3 1. s2-9 10 (3s2+12) + (s²–25) 3s-2 3.…

A: As you have asked multiple questions so I have answered only first question as per the…

Q: Find the Z-transform of: 1. (n + 1)²

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Find the Fourier-sine transform of ƒ(x) = |x − 3| − |x − 2| + 1. -

A: We will first compute the complete Fourier transform of f(x) then using Euler's formula and…

Q: Inverse laplace transform of 1 is s - 4S + 4

A: Here we use the laplace transform formula to find the inverse laplace transform of the given…

Q: Find Z-transform of k24

A:

Q: If X(z) is the z-transform of the signal x(n), then what is the z- ?transform of the signal x(-n) x…

A:

Q: 8–2)(s-3)|

A: