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The roots of the equation H(z) must occur in ________________(a) Identical(b) Zero(c) Reciprocal pairs(d) Conjugate pairsThis question was posed to me by my school teacher while I was bunking the class.My doubt is from Design of FIR Filters topic in portion Digital Filters Design of Digital Signal Processing

Answer»

The correct ANSWER is (C) Reciprocal pairs

To elaborate: We know that the roots of the polynomial H(Z) are IDENTICAL to the roots of the polynomial H(z^-1). Consequently, the roots of H(z) must occur in reciprocal pairs.



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