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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 |
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Answer» RIGHT CHOICE is (d) \(\frac{2}{T} TAN^{-1}(\frac{ΩT}{2})\) EXPLANATION: When r=1, we get σ=0 and Ω = \(\frac{2}{T} [\frac{2 sinω}{1+1+2 cosω}]\) =>ω=\(\frac{2}{T} tan^{-1}(\frac{ΩT}{2})\). |
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