X (z) = ln (1 + z^{1} ), z>0
If ztransform is given by
X (z) = cos ( z ^{3}), z> 0,
The value of x[12] is
X (z) of a system is specified by a pole zero pattern in fig. P.5.4.36.
Consider three different solution of x[n]
Correct solution is
All gives the same z transform with different ROC. So all are the solution.
Consider three different signal
Fig. P.5.4.37 shows the three different region. Choose the correct option for the ROC of signal
x_{1[}n] is rightsided signal
Given
For three different ROC consider there different solution of signal x[n] :
Correct solutions are
So (b) is wrong.
X (z) has poles at z = 1/2 and z = 1. If x [1] = 1 x [ 1] = 1, and the ROC includes the point z = 3/4. The time signal x[n] is
Since the ROC includes the Z = 3/4, ROC is
x[n] is rightsided, X (z) has a signal pole, and x[0] = 2, x[2] = 1/2. x[n] is
x[n]= Cp^{n}u[n],x[0=2=C
Find the Ztransform of y(n) = x(n + 2)u(n).
Given y(n) = x(n + 2)u(n)
Let n + 2 = p,i.e. n = p – 2
=z2 X(Z) – z2 x(0) – zx(1).
Let The unilateral ztransform is
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