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What is the center of the circle represented by the image of jΩ axis of the s-domain?(a) z=0(b) z=0.5(c) z=1(d) none of the mentionedThe question was asked in examination.This interesting question is from Backward Difference Method topic in portion Digital Filters Design of Digital Signal Processing

Answer»

Right CHOICE is (b) z=0.5

To explain: LETTING s=σ+jΩ in the equation z=1/(1-sT) and by letting σ=0, we get

|z-0.5|=0.5

Thus the IMAGE of the jΩ AXIS of the s-domain is a circle with CENTRE at z=0.5 in z-domain.



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