Consider the pole/zero diagram of a discrete-time system in Figure P11.18. It correspond...

Consider the pole/zero diagram of a discrete-time system in Figure P11.18. It corresponds to a Z-transform H(z).

Write down all possible time functions h[n] that could have this pole/zero diagram. Choose H[z] so that it has a DC gain of 1. In each case, specify the region of convergence (ROC). (Assume that there are no pole/zero cancellations and therefore all existing poles and zeros are plotted.)