1.

What is the expression for the digital frequency when r=1?(a) \(\frac{1}{T} tan⁡(\frac{ΩT}{2})\)(b) \(\frac{2}{T} tan⁡(\frac{ΩT}{2})\)(c) \(\frac{1}{T} tan^{-1}(\frac{ΩT}{2})\)(d) \(\frac{2}{T} tan^{-1}⁡(\frac{ΩT}{2})\)The question was posed to me during an online interview.The question is from Bilinear Transformations topic in chapter Digital Filters Design of Digital Signal Processing

Answer» RIGHT CHOICE is (d) \(\frac{2}{T} TAN^{-1}⁡(\frac{ΩT}{2})\)

EXPLANATION: When r=1, we get σ=0 and

Ω = \(\frac{2}{T} [\frac{2 sin⁡ω}{1+1+2 cos⁡ω}]\)

=>ω=\(\frac{2}{T} tan^{-1}⁡(\frac{ΩT}{2})\).


Discussion

No Comment Found

Related InterviewSolutions