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Which of the following is the correct relation between ω and Ω?(a) Ω=ωT(b) T=Ωω(c) ω=ΩT(d) None of the mentionedThe question was asked during an internship interview.Enquiry is from IIR Filter Design by Impulse Invariance in chapter Digital Filters Design of Digital Signal Processing

Answer»

The CORRECT option is (C) ω=ΩT

The best I can explain: We know that z=e^sT

Now SUBSTITUTE s=σ+jΩ and z=r.e^jω, that is REPRESENT ‘z’ in the polar form

On equating both SIDES, we get

ω=ΩT.



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