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What is the condition on the system function of a linear phase filter?(a) H(z)=\(z^{-N} H(z^{-1})\)(b) H(z)=\(z^N H(z^{-1})\)(c) H(z)=\(±z^N H(z^{-1})\)(d) H(z)=\(±z^{-N} H(z^{-1})\)The question was posed to me during an interview for a job.Question is from Design of IIR Filters from Analog Filters topic in section Digital Filters Design of Digital Signal Processing

Answer»

The correct ANSWER is (d) H(z)=\(±z^{-N} H(z^{-1})\)

The BEST I can EXPLAIN: A linear phase filter MUST have a system function that satisfies the condition

H(z)=\(±z^{-N} H(z^{-1})\)

where z^(-N) represents a delay of N units of time.



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