Digital Signal Processing

Week8 Assignment Digital Filter Structures

1. The figure shown below is a typical closed-loop discrete-time feedback control system in which G(z) is the plant and C(z) is the compensator. If , and C(z) = K, determine the overall transfer function .

2. Develop a canonic direct-form II realization of the transfer function

3. Realize the transfer function in parallel form:

4. Consider a length-8 FIR filter transfer function given by

. Develop a four-branch polyphase realization of H(z) in the form shown below:

5. Realize the FIR filter transfer function in cascade of three 2nd-order sections.