The pole–zero plots in Figure P5.45 describe six different causal LTI systems....

The pole–zero plots in Figure P5.45 describe six different causal LTI systems.

Answer the following questions about the systems having the above pole–zero plots. In each case, an acceptable answer could be none or all.

(a) Which systems are IIR systems?

(b) Which systems are FIR systems?

(c) Which systems are stable systems?

(d) Which systems are minimum-phase systems?

(e) Which systems are generalized linear-phase systems?

(f) Which systems have |H(e^jω)|=constant for all ω?

(g) Which systems have corresponding stable and causal inverse systems?

(h) Which system has the shortest (least number of nonzero samples) impulse response?

(i) Which systems have low pass frequency responses?

(j) Which systems have minimum group delay?