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Higher Study | Signals and Systems | Z Transform

Let y[n] = x[n] ∗ h[n], where ∗ denotes convolution and x[n] and h[n] are two discrete time sequences. Given that the z-transform of y[n] is Y(z) = 2 + 3z-1 + z-2, the z-transform of p[n] = x[n] ∗ h[n − 2] is
What is the value of Z-transform of δ[n - 5]?
Consider a two-sided discrete-time signal (neither left sided, nor right sided). The region of convergence (ROC) of the z-transform of the sequence is: 1) All region of z-plane outside a unit circle (in z-plane) 2) All region of z-plane inside a unit circle (in z-plane) 3) Ring in z-plane Which of the above is/are correct?
Suppose x[n] is an absolutely summable discrete-time signal. Its z-transform is a rational function with two poles and two zeroes. The poles are at z = ±2j. Which one of the following statements is TRUE for the signal x[n]?
Which of the following schemes of system realization uses separate delay for input and output samples?
Two discrete-time linear time-invariant systems with impulse responses h1[n] = δ[n - 1] + δ[n + 1] and h2[n] = δ[n] + δ[n - 1] are connected in cascade, where δ[n] is the Kronecker delta. The impulse response of the cascaded system is
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