engineering recuitment GATE EE 2023-24 Test Series Signals and Systems Z Transform Unilateral Z Transform
A first-order filter is described by the system function:
\({\rm{H}}\left( {\rm{z}} \right) = {b_0}\frac{{1 + b{z^{ - 1}}}}{{1 + a{z^{ - 1}}}}\)
For a = 0.5 and b = - 0.6, this system is
1
stable, if it is causal
2
stable, if it is anti-causal
3
unstable, if it is causal
4
stable irrespective of its causality.