4. Obtain the z-transform of the following: A. B. C. D. X(z) X(z) X(z): X(z) x(n) = I = n (⑥)", -12 I " 5 -32-1 (1-z-¹)(1-1/2-¹1)' (1-z-¹)(1-z-¹) n20 n < 0 5 62 (1-z-¹) (1 – 2z-¹) 5 3² (1-z-¹) (1 - 2z-¹)" 중시지를 플시리스를 1 <11 <2 <리 <2

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

A:

Q: (4). Find the inverse z-transform of the following function with ROC: |z|> 4. You must show the…

A: Given function is Fz=zz-3z2-6z+8 The ROC of the function is z&gt;4 The inverse z-transform of the…

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

A: Z transform

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: Find the Hankel transform of xve-ax, taking

A:

Q: 20 Q.5: Find the Z transform for the following sequences: n-3 h(n) = ;)" u(n – 3) x(n) = 2"[8(n) +…

A: By definition of Z-Transformation we know that,                         X(z) = ∑n=-∞∞xn z-1   By…

Q: The z-transform of x(n) is X(z) = 1 + 2z-1. Find the z-transform of (1/2)"x(n – 2). 0.33(z2 -z) b.…

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Q: 32 24:A. If the Z transform of x[k] is X(z)=22²-5242 find: 1. The Z transform of kx[-k]; 2. The Z…

A: Given that  Z xk =3z2z2-5z+2 = X(z) (1)  From Time reversal…

Q: 2B. Find the analytic function f(z) = u+iv for which v= e(xcos y+ ysin y)

A:

Q: ) Compute the Fourier transform of the function. (a) f(x) = h(x + 1) – 2h(x) + h(x - 1), where 1, if…

A:

Q: : Determine the z-transform of the following; 6. x(n) = n (n + 1) u(n)

A: To determine Z transformation of xn=nn+1un Now, xn can be re-written as xn=nn+1un=n2un+nun It is…

Q: 3. The Laplace transform L {t(t-2)(t+2)} is : (a) (1/s) ( 1/s² - 2/s) ( 1/s² + 2/s) (b) (( 3!/s*) –…

A:

Q: 3z 2z2-5z+2 transform of (3) x[k]; 3. The initial value of x[k]. :A. If the Z transform of x[k] is…

A: To find the Z-transform of the given sequences, we can utilize some properties and theorems of the…

Q: Which of the following systems or sequences have a Fourier transform? a. x[n] = (1.1)"u[-n] b. c.…

A:

Q: 5. The fourier transform of the function f(x)=eI, is 2 4- w? O b. 2 w? -4 4 С. w? - 4 Od. 4+w? 4.

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Q: Q5: Find the Z-transform of the following: Hint: akf(k) = F (2) d) x(k) = 2k sin wk ,e)x(k) = ek sin…

A: Here, we will use akf(k)=Fza ,   d) x(k)=2ksinωk Let x(k)=2kf(k), where f(k)=sinωk Z-transform of…

Q: Q2) Find the Z transform X(z) of the following function X(t) 5 – 3e-2t for T=1 sec. and k 20

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Q: A) XCZ) == (1=Z=¹)(1+32²¹) zo

A:

Q: Find the Fourier Transform of the triangular pulse x(t) = { (1– t for -1<t<0 for (1 +t 0<t <1

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: Find the Inverse Laplace Transform of the following functions 3s? – 2s–1 (s- 3)(s² +1) A) F(s) =…

A: As Multiple Questions are given , I will solve the first one Only :   We are given…

Q: Q2: Find the inverse Z transform of the following: 1/z 3. X(2) = z-1

A:

Q: 3. The Laplace transform of the f(t) = t²e-²t cos(3t) is 2(s+2)(s²+45-23) (s+45+13)³ 2(+2)(²+23) (s²…

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

Q: Find the complex form of the Fourier series f(x)=e*, -1<x<1 Ans. E

A: As per the question we are given a piecewise defined function as : f(x) = e-x  for  -1 ≤ x ≤ 1 Now…

Q: Find the following Z-Transform x₁ [n] = (0.8)" •

A: note :  Since you have posted multiple questions, we will provide the solution only to the first…

Q: Find the Fourier transform of the following functions: (₁) f(t)= (11) "-(1+t), -12 t ≤0 t-1 04+ ²1 อ…

A: We have to find the Fourier transform of the given functions: (i) ft=-1+t-1&lt;t≤0t-10&lt;t≤10t&gt;1…

Q: Let x₂ (n) = n7"u(-n-1). What z-transform property is applicable? A. Convolution B. Time shifting C.…

A: Hints: The Z transform of the function nanu(-n-1) is -aZZ-a2. The given function is n7nu(-n-1).

Q: Find the Z-Transform of x(k) = k u(k) 5z / (z + 1)? .a 5z/ (z - 1)2 b others .c -1 -i.d z/(z - 1)2…

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Q: 6. Find the inverse Laplace transform of the following: (assuming that inverse transform exists): 8…

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Q: 4.21. Find the inverse z-transform of 2 2 -- 5z2 +z+3 X(z) = Iz|<1 (z-1)(2-2)

A: Solution

Q: if t 5. t-5 ● i +7x = 4t, x(0) = 5 • ï + 14x + 58x = 174, x(0) = (0) = 0

A:

Q: 3. Show that the Fourier series of the function g(x) = |x| on the interval [-7,7] is 4 5 - 1 cos(2n…

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Q: Q2: Find the inverse Z transform of the following: 1/z 3. X(2) = 8-Z-Z Z-1

A: