The pole-zero diagram of a causal and stable discrete-time system is...

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The pole-zero diagram of a causal and stable discrete-time system 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

Answer: Option A

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