Classify each of the following as either true or false.

(a) In the FIR design using the window method, side lobes appear due to numerical round- off errors

(b) The DC gain of the transfer function H(z) = is 0.4

3. FIR Filters have all zeros at the origin.
4. IIR (recursive) Filters can never be unstable
5. Windows are used in FIR Filter design to reduce the size of side lobes in the frequency response.
6. A causal Filter will always have a proper z-transfer function
7. For a Filter to be stable, all its zeros must be inside the unit circle.
8. FIR Filters have the advantage of generally requiring less memory than recursive (IIR) Filters.
9. The aliasing phenomenon occurs in both continuous time Filters and discrete time Filters.
10. For a stable discrete time Filter, the discrete transfer function poles are always in the left half plane.

11. The signal 0:5ⁿu_s[n] has z transform