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The factor of the form (s-a) in H(s) is mapped into which of the following factors in z-domain?(a) 1-e^aTz(b) 1-e^aTz^-1(c) 1-e^-aTz^-1(d) 1+e^aTz^-1This question was posed to me by my college professor while I was bunking the class.I would like to ask this question from Matched Z Transformation topic in portion Digital Filters Design of Digital Signal Processing

Answer»

The correct CHOICE is (b) 1-e^aTz^-1

To elaborate: If T is the sampling INTERVAL, then each FACTOR of the form (s-a) in H(s) is mapped into the factor (1-e^aTz^-1) in the z-domain.



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