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The transfer function of a causal system is given as
The impulse response is
h[n] is causal so ROC is z> 3,
A causal system has input
and output
The impulse response of this system is
A causal system has input x[n] = (3)^{n} u[ n] and output
The impulse response of this system is
A system has impulse response
The output y[n] to the input x[n] is given by
The input x[n] is
=
A system is described by the difference equation
The impulse response of the system is
A system is described by the difference equation
y[n] = x[n] x[n  2] + x[n  4]  x[n  6]
The impulse response of system is
The impulse response of a system is given by
The difference equation representation for this system is
The impulse response of a system is given by
The difference equation representation for this system is
⇒ y[n]= x[n]  x[n  5 ]
The transfer function of a system is given by
The system is
(i) Not all poles are inside z= 1, the system is not causal and stable.
(ii) Not are poles and zero are inside z= 1, the system is not minimum phase.
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