Q3: Find the Z-transform of the following: a) f(k] = a*, b) x[k] = 2-3k , c) u[k] = -4 a-k %3D %3D

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Q3: Find the Z-transform of the following:
a) f[k] = a*, b) x[k] = 2-3k,
c) u[k] = -4 a-k,
d) y[k] = (-*
e) x(t) = k ak,
f) x(t) = k 2-3k
, 9) x(t) = k,
h) x(t) = k e-2k
z sin wt
i) x(t) = sin wt
for t<0
for t20
Ans.
z2 - 2z cos wt + 1
i) x(k) = { cos k t
for t<0
.. ....
Ans.
.. .. ... .
Q4: Find the Z-transform of the following:
-2k
a) f(k) = 8(k) + 7k + ek + 32k + u , b) f(k) = 8(k) +|
+ e-k + (V5)*
c) f(k) = 4 + 2 a* + k ak + k 2-3k , d) S(k) = 4 + a-k + k a-k + 4-k ak
Q5: Find the Z-transform of the following: Hint: a*f(k) =F (4)
a) x(k) = 2k ek
, b) x(k) = e-k sin wk ,
c) x(k) = 3-k sin wk
%3D
d) x(k) = 2k sin wk
,e)x(k) = ek sin wk,
f)x(k) = ek k ak,
Transcribed Image Text:Q3: Find the Z-transform of the following: a) f[k] = a*, b) x[k] = 2-3k, c) u[k] = -4 a-k, d) y[k] = (-* e) x(t) = k ak, f) x(t) = k 2-3k , 9) x(t) = k, h) x(t) = k e-2k z sin wt i) x(t) = sin wt for t<0 for t20 Ans. z2 - 2z cos wt + 1 i) x(k) = { cos k t for t<0 .. .... Ans. .. .. ... . Q4: Find the Z-transform of the following: -2k a) f(k) = 8(k) + 7k + ek + 32k + u , b) f(k) = 8(k) +| + e-k + (V5)* c) f(k) = 4 + 2 a* + k ak + k 2-3k , d) S(k) = 4 + a-k + k a-k + 4-k ak Q5: Find the Z-transform of the following: Hint: a*f(k) =F (4) a) x(k) = 2k ek , b) x(k) = e-k sin wk , c) x(k) = 3-k sin wk %3D d) x(k) = 2k sin wk ,e)x(k) = ek sin wk, f)x(k) = ek k ak,
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