If s=σ+jΩ and z=re^jω, then what is the condition on σ if r>1?(a) σ > 0(b) σ 1(d) σ < 1This question was addressed to me in unit test.I'd like to ask this question from Bilinear Transformations in portion Digital Filters Design of Digital Signal Processing

If s=σ+jΩ and z=re^jω, then what is the condition on σ if r>1?(a)

1.	If s=σ+jΩ and z=re^jω, then what is the condition on σ if r>1?(a) σ > 0(b) σ < 0(c) σ > 1(d) σ < 1This question was addressed to me in unit test.I'd like to ask this question from Bilinear Transformations in portion Digital Filters Design of Digital Signal Processing
Answer» Correct option is (a) σ > 0 To explain I would say: We know that if = σ+jΩ and z=rejω, 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>1?(a) σ > 0(b) σ < 0(c) σ > 1(d) σ < 1This question was addressed to me in unit test.I'd like to ask this question from Bilinear Transformations in portion Digital Filters Design of Digital Signal Processing

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