GATE Signals and Systems: Discrete-time systems and digital filters – Previous Year Questions
7 GATE previous year questions on Discrete-time systems and digital filters (Signals and Systems, Instrumentation Engineering) with answers and explanations, from every paper.
- GATE 2021 IN Q54 – The shown input signal passes through the filter with the shown taps. The number of nonzero output samples is .
- GATE 2022 IN Q38 – Bilinear transformation with sampling period 0.1 s is used to obtain H d(z) from H c(s)=1/[(s+1)(s+3)]. Then H d(z) is .
- GATE 2024 IN Q22 – A filter is defined by y[n]-0.5y[n-2]=a\,x[n-4], where x[n],y[n] are input and output. If H(/2) =0.5, the value of a is (two decimal places).
- GATE 2024 IN Q25 – The number of complex multiplications required for a 16-point DFT using the decimation-in-time radix-2 FFT is (integer).
- GATE 2024 IN Q53 – The 4-point DFTs of x[n],y[n] are X[k]=[1,-j,1,j] and Y[k]=[1,3j,1,-3j]. If z[n] is their 4-point circular convolution, z[0] is (nearest integer). The…
- GATE 2025 IN Q39 – The initially resting causal discrete-time LTI system obeys y[n]=1 y[n-1]+x[n], where >1 is real. If x[n]=[n-p] with p>10, the value of y[p+1] is
- GATE 2025 IN Q54 – A length-4 sequence has x[0]=1, x[1]=2, x[2]=2, x[3]=4 and DTFT X(ej). Sampling at k=2 k/3 gives a sequence periodic in integer k with period 3.…