GATE Signals and Systems: Discrete-Time Systems and Z Transform – Previous Year Questions

2 GATE previous year questions on Discrete-Time Systems and Z Transform (Signals and Systems, Biomedical Engineering) with answers and explanations, from every paper.

1. GATE 2021 BM Q32 (1 mark, Numerical answer) – H(s)=(1+s/106)/s is converted by a bilinear transform at sampling rate 100 MHz to H(z). At what z is its pole?
2. GATE 2023 BM Q26 (1 mark, Multiple select) – A causal discrete-time system obeys y[n]=0.5y[n−1]+x[n]. With initial rest, which statements are correct?