The correct choice is (d) \(\frac{(\frac{bT}{2})(1-z^{-1})}{1+\frac{aT}{2}-(1+\frac{aT}{2}) z^{-1}}\) & \(\frac{b}{\frac{2}{T}(\frac{1-z^{-1}}{1+z^{-1}}+a)}\)
Explanation: As we considered analog linear filter with system function H(s) = b/s+a
Hence, we got an equivalent system function
where, s = \(\frac{2}{T}(\frac{1-z^{-1}}{1+z^{-1}})\).