GATE Networks, Signals and Systems: LTI Systems – Previous Year Questions
17 GATE previous year questions on LTI Systems (Networks, Signals and Systems, Electronics and Communication Engineering) with answers and explanations, from every paper.
- GATE 2017 EC Q15 – Consider the following statements for continuous-time linear time invariant (LTI) systems. I. There is no bounded input bounded output (BIBO) stable…
- GATE 2017 EC Q16 – Consider a single input single output discrete-time system with x[n] as input and y[n] as output, where the two are related as y[n] = cases n x[n] , &…
- GATE 2017 EC Q62 – A continuous time signal x(t) = 4(200 t) + 8(400 t), where t is in seconds, is the input to a linear time invariant (LTI) filter with the impulse…
- GATE 2016 EC Q16 – Which one of the following is an eigen function of the class of all continuous-time, linear, time-invariant systems (u(t) denotes the unit-step…
- GATE 2018 EC Q14 – Let the input be u and the output be y of a system, and the other parameters are real constants. Identify which among the following systems is not a…
- GATE 2019 EC Q15 – Let Y(s) be the unit-step response of a causal system having a transfer function G(s)=3-s(s+1)(s+3) that is, Y(s)=G(s)s. The forced response of the…
- GATE 2020 EC Q15 – The output y[n] of a discrete-time system for an input x[n] is y[n]= - k n x[k] . The unit impulse response of the system is
- GATE 2021 EC Q50 – For a unit step input u[n], a discrete-time LTI system produces an output signal (2[n+1]+[n]+[n-1]). Let y[n] be the output of the system for an input…
- GATE 2022 EC Q46 – The outputs of four systems (S 1, S 2, S 3, and S 4) corresponding to the input signal (t), for all time t, are as follows. S 1: input (t), output…
- GATE 2023 EC Q26 – Consider a system with input x(t) and output y(t)=x(et). The system is
- GATE 2023 EC Q58 – Let x 1(t)=u(t+1.5)-u(t-1.5) and x 2(t) is shown in the figure below. For y(t)=x 1(t)*x 2(t), the -y(t)\,dt is (rounded off to the nearest integer).
- GATE 2024 EC Q21 – A causal and stable LTI system with impulse response h(t) produces an output y(t) for an input signal x(t). A signal x(0.5t) is applied to another…
- GATE 2024 EC Q24 – For a causal discrete-time LTI system with transfer function H(z)=2z2+3(z+13)(z-13), which of the following statements is/are true?
- GATE 2025 EC Q17 – Consider the discrete-time system below with input x[n] and output y[n]. In the figure, h 1[n] and h 2[n] denote the impulse responses of LTI…
- GATE 2026 EC Q13 – The Laplace Transform of the signal x(t) = u(t-2) * (t\,u(t)) is given by which of the following expressions? [“*” represents convolution operator]
- GATE 2026 EC Q16 – The response of a discrete time system y[n] obeys the following relation: y[n]=56 y[n-1]-16 y[n-2]+x[n]. The input to the system is x[n]=[n]-13[n-1].…
- GATE 2026 EC Q47 – Consider the discrete time system (S) with input x[n] and output y[n] as shown in the Figure. The two sub-systems represented by their impulse…