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If the unit sample response h(n) of the filter is real, complex valued roots need not occur in complex conjugate pairs.(a) True(b) FalseI got this question by my college director while I was bunking the class.My query is from Design of FIR Filters in section Digital Filters Design of Digital Signal Processing

Answer»

Correct choice is (b) False

Easy explanation: We KNOW that the roots of the POLYNOMIAL H(z) are IDENTICAL to the roots of the polynomial H(z^-1). This implies that if the unit sample response h(n) of the FILTER is REAL, complex valued roots must occur in complex conjugate pairs.



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