CT system functions for parallel, series, and feedback connection of two system functions H(s) and H (s). Let H(s) = 1 s+1 ) H(s) = 1 S+2 (a) Determine the overall system function H (s) for the parallel connection. Make a pole-zero plot for the overall system function and determine if the overall system is a LPF, a BPF or a HPF (or something else). Explain your reasoning! (b) Repeat (a) for H, (s) of the series connection. (c) Repeat (a) for H(s) of the feedback connection. x(s) X(s) Parallel connection: H (s) H, (s) X (s) H),(S) / H (s) Series connection: H, (s) f + Hels) Feedback connection: Hf (s) H,(s) H (s) k Y(s) Y(s) Y(s)