Q1\ Find the Z-transform of A) cosh ( +a} B)는 u(k) pk = e" 00 where Lk=0 k! k!

Q: . Find the Z transform of : x(k) = (2)*sin,k

A: Z transform

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: 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: Find the Fourier transform off (x) defined by Example 6. 1, |x| a f(x) = sin s ds (ii) 00 sin sa.…

A:

Q: 5. Compute the inverse z-transform of X(z)=log(1+z),z|<1.

A: Given: To explain the given statement as follows, To calculate Z transform, .

Q: Determine the inverse z-transform of X (2) : r (n] is noncausal (1-=1)(1-3-1+3=)’

A: Given that, Xz=1-z-11-13z-11-73z-1+23z-2 x[n] is noncausal.

Q: Compute E(X) and Var(X) of Erlang(λ,n) using Laplace transform PLEASE AS detailed as possible

A: Laplace transform of Erlang(λ,n) is the probability generating function of the distribution.

Q: if X(z) is the z-transform then what is the z-transform of x(n) of x(n- ?6)

A: In this question, we need to find the z transform of x(n-6).

Q: Find the inverse Z-transform of x (z) = tanh z

A: The given data is: xz=tanh-1z To find inverse z-transformation of the given data.

Q: Find the z-transform of the following x[n]: x[n] = {{, 1, − }} x[n] = 28[n+ 2]- 38[n - 2] x[n] = 3(…

A: Introduction: The Z-transformation is the way to transform a discrete time signal into a complex…

Q: Find the laplace transform of f(t)= t²e³t sin 4t OF (s) OF (s) = OF (s) = OF (s) = OF (s): - OF (s)…

A: This question is related to Laplace transform, we will solve it using given information.

Q: Find the finite Fourier Cosine Transform of f(x) = 1- in (0, x).

A:

Q: The Z-Transform of X(z) =5 (2^n)(u-2) is 5z/(z-2) True False

A: We're going to solve

Q: If the z-transform of x[n] is X(z), then, the z-transform of 2"x[n] 1S X(z') X(2z)

A: The expression, X(Z) , denotes the Z-transform of a discrete time signal, x(n) . The X(Z) is defined…

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

A:

Q: 2. Use Laplace transform properties to compute 2.1. {f(1 – e")du} -

A:

Q: 27. Explain why this function does or does not have a Fourier transform. If it does, compute its…

A: Consider the given function. fx=0,        x&gt;1excosx,x&lt;1 Fourier transformation is defined as.…

Q: 6. Evaluate the inverse z-transform of x(z)= 2z-1 (1-2z-¹)²

A:

Q: Determine the Laplace Transform of est cos 5t .

A:

Q: 3) Find Fourier Transform for the following function as in figure: vsing this FLw)-ズ fit) fcx) e iwy

A:

Q: O Find inverse Z-Transform of 1- 3z-5 (1– 0.2z-1)(1+ 0. 6z-1) X(z) = ving ROC = 0.2 < ]z| < 0.6

A:

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: Q3: the - Using inverse Convolution Theorom, find Fourier transform of that 6+52w-w²1 given £-'f…

A: Introduction: Like Laplace transformation, convolution theorem is also used Fourier transformation.…

Q: Laplace transform of 8(ta) is ea as True False

A:

Q: 4. The Laplace transform of 3 is O 1/3s O 3/s O 3/s^2 O 1/s оо

A:

Q: (d) Show that the Fourier transform of a Gaussian is a Gaussian, and hence show that eik dk 2πδ(x).

A: The Dirac delta function is one of the most significant functions in mathematics. It is widely used…

Q: 2 What is the Laplace transform of 2cos t?

A:

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

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: 2) Sólvé thẻ điffèréncé équation using z-transform yk+2 - 3 Yk+1 + 2 Yk 0, with yo = 0, y, = 1.…

A:

Q: Obtain the z-transform of the following: x(n)=na" sin(an)u(n)

A: Let us start solving the problem step by step.... We need to find the z-transform of x(n)

Q: Obtain inverse Laplace transform 1. (s+2)

A: Given expression is e-4s+23.

Q: 2. Prove the following properties of Discrete-time Fourier transform (DTFT). DTFT DTFT (a) ifx[n]…

A: Given x[n]⇔DTFTXejω then we have to show x[n-n0]⇔DTFTXejωe-jn0ω=Z(ejω) (say) Proof: we have…

Q: Q.5. Determine the Discrete-Time Fourier Transform and z-Transform of the signal given below. x(n) =…

A: Calculate DTFT: XNk=∑n=-∞∞xne-i2πkNn           =∑n=-∞∞3nu-n-1e-i2πkNn           =∑n=-∞-13ne-i2πkNn…

Q: (b) Find the z-transform of f(-÷)` ux given that Z{ux} z-1

A: Z transform of the function

Q: The Laplace transform of (sin 5t cos 5t) is_ 1 10 6 [s2 + 10² . 1 10 2 s2 + 102 10 2 s2 – 102 1 10 3…

A: Suppose ft=sin 5t cos 5t We have to find the Laplace transform of ft

Q: Find the z - transform of IN k

A:

Q: Find the Z-transform for x(n) shown below * including ROC a(n) = (3)"sin(프n)u(n) |

A: It is given that, x(n)=13nsinπ4nu(n) The convolution property says that,   The z-transform of…

Q: 7 Find the inverse Laplace transform of using Residue theorem. (s+3)(s²+5s+6)

A:

Q: Let xfn] be a discrete-time signal whose Fourier transform between -r and r is 4 |w< 4 X(e) = 0, 4…

A: Given Discrete time signal xn whose Fourier transform between -π and π isXejw=4πw2,  w&lt;π40,…

Q: 3. Compute the inverse z-transform x[n] of the X(z) where X(z) = (z² + 2) {(z? + 1)(z – 1)}

A:

Q: What is the z-transform of the ?signal x(n)=(0.5)nu(n)

A:

Q: Compute the discrete Fourier transform of g = t + 1 on [0, 4) with length 3.

A: Given:                              gt=t+1, t∈[0,4) with length 3 To find: Discrete Fourier…

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: Find inverse z transform (2z+ 1)(z – 1)

A:

Q: (i) Find the Z transform of {xk} = {3k=2 + 4k+1 +8*k}. %3D

A: To find Z transform of the sequence xk=3k−2+4k+1+8kk

Q: Compute z-transform for the following: 2 Cos () 4.

A:

Q: 4. Determine the Laplace transform of the Laguerre polynomials, defined by et dn Ln(t) : ni din…

A: Solution:

Q: Find inverse z transform 2 (z – 1)(z – 2) |

A: Given: f(z)=z2z-1z-2 To find: Inverse z transform of given function.