GATE Signals and Systems: Digital Filters – Previous Year Questions
7 GATE previous year questions on Digital Filters (Signals and Systems, Biomedical Engineering) with answers and explanations, from every paper.
- GATE 2020 BM Q42 – Two first-order low-pass filters H 1(j)=1/(1+j/ 1) and H 2(j)=1/(1+j/ 2) are cascaded. Find the resulting second-order undamped natural frequency ωc.
- GATE 2021 BM Q41 – The shown infinite-tap feedforward realization gives H(z)=1/(1-0.5z-1). Its successive delayed tap weights are α²,α⁴,α⁶,… . Find positive α.
- GATE 2022 BM Q39 – For the shown two-tap high-pass FIR filter, H(z)=Y(z)/X(z). The maximum-to-minimum magnitude ratio is 2 and the maximum magnitude is 1. Find β₀,β₁.
- GATE 2023 BM Q17 – A two-tap FIR filter has impulse response h[0]=h[1]=1 and all other samples zero. What is the magnitude of its DTFT for ω ≤π?
- GATE 2024 BM Q23 – The shown asymptotic Bode magnitude of a second-order low-pass filter has its corner at 1 kHz and DC gain 0 dB. At what frequency is attenuation 80…
- GATE 2025 BM Q12 – Which frequency-response curve is that of a notch filter?
- GATE 2026 BM Q41 – A moving-average filter obeys y[n]=(x[n]+2x[n−1]+x[n−2])/4. Which describes its transfer function?