If s=σ+jΩ and z=re^jω, then what is the condition on σ if r 0(b) σ 1(d) σ < 1I have been asked this question in an interview.I'd like to ask this question from Bilinear Transformations in chapter Digital Filters Design of Digital Signal Processing

If s=σ+jΩ and z=re^jω, then what is the condition on σ if r 0(b) �

1.	If s=σ+jΩ and z=re^jω, then what is the condition on σ if r 0(b) σ < 0(c) σ > 1(d) σ < 1I have been asked this question in an interview.I'd like to ask this question from Bilinear Transformations in chapter Digital Filters Design of Digital Signal Processing
Answer» The correct ANSWER is (b) σ < 0 Explanation: We KNOW that if = σ+jΩ and z=re^jω, then by substituting the values in the below expression s = \(\FRAC{2}{T}[\frac{1-z^{-1}}{1+z^{-1}}]\) =>σ = \(\frac{2}{T}[\frac{r^2-1}{r^2+1+2rcosω}]\) When r<1 => σ < 0.

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If s=σ+jΩ and z=re^jω, then what is the condition on σ if r 0(b) σ < 0(c) σ > 1(d) σ < 1I have been asked this question in an interview.I'd like to ask this question from Bilinear Transformations in chapter Digital Filters Design of Digital Signal Processing

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