If z₀ is a zero of a (real-valued) linear-phase FIR filter then following is/are also zero/zeros of a (real-valued) linear-phase FIR filter,

A) $${\text{z}}_0^ * $$ B) $$\frac{1}{{{{\text{z}}_0}}}$$ C) $$\frac{1}{{{{\text{z}}_0}}},\,{\text{z}}_0^ * {\text{ and }}\frac{1}{{{\text{z}}_0^ * }}$$ D) $$\frac{1}{{{{\text{z}}_0}}}\,{\text{and}}\,\frac{1}{{{\text{z}}_0^ * }}$$

Answer & Solution

Correct Answer: Option C

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If z0 is a zero of a (real-valued) linear-phase FIR filter...

If z0 is a zero of a (real-valued) linear-phase FIR filter then following is/are also zero/zeros of a (real-valued) linear-phase FIR filter,

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If z₀ is a zero of a (real-valued) linear-phase FIR filter then following is/are also zero/zeros of a (real-valued) linear-phase FIR filter,