The pole – zero diagram of a causal and stable discrete – time system is shown is shown in the figure. The zero at the origin has multiplicity 4. The impulse response of the system is h[n] . If h[0] = 1, we can conclude.

• A. h[n] is real for all n
• B. h[n] is purely imaginary for all n
• C. h[n] is real for only even n
• D. h[n] is purely imaginary for only odd n