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What is the radius of the circle represented by the image of jΩ axis of the s-domain?(a) 0.75(b) 0.25(c) 1(d) 0.5This question was addressed to me in an online quiz.The doubt is from Backward Difference Method topic in section Digital Filters Design of Digital Signal Processing

Answer»

Right option is (d) 0.5

The explanation: 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 of RADIUS 0.5 centered at z=0.5 in z-domain.



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