Skip to content
GATETECH

GATE EC Networks, Signals and Systems questions

Practise Networks, Signals and Systems questions for GATE EC. Explore official PYQs and original subject-wise quizzes, check answers and view available solutions. Free, no sign-in.

Identify whether the signal and system are continuous-time or discrete-time. Check linearity, time invariance and stability before selecting a transform or response method.

Subject, topic, year and type filter the full library. Match any choice within a filter, and all selected filter categories. Search, source and sort apply to this page.

20 on this page
Official PYQ2016Networks, Signals and SystemsLTI SystemsNAT · 2 marks
The transfer function of a linear time invariant system is given by H(s)=2s4–5s3+5s−2H(s) = 2s^4 – 5s^3 + 5s -2. The number of zeroes in the right half of the ss-plane is _________
Official PYQ2016Networks, Signals and SystemsCircuit AnalysisNAT · 1 mark
The figure shown an RLCRLC circuit with a sinusoidal current source. At resonance, the ratio ∣IL∣/∣IR∣\mid I_{L} \mid / \mid I_{R} \mid, i.e., the ratio of the magnitudes of the inductor current phasor and the resistor current phasor, is ________
Official PYQ2016Networks, Signals and SystemsContinuous-time SignalsNAT · 1 mark
The energy of the signal x(t)=sin⁡(4πt)4πtx(t)= \frac{\sin(4\pi t)}{4\pi t} is ________
Official PYQ2016Networks, Signals and SystemsDiscrete-time SignalsNAT · 2 marks
A continuous-time filter with transfer function H(s)=2s+6s2+6s+8H\left ( s \right )= \frac{2s+6}{s^{2}+6s+8} is converted to a discrete-time filter with transfer function G(z)=2z2−0.5032 zz2−0.5032 z+kG\left ( z\right )= \frac{2z^{2}-0.5032 \: z}{z^{2}-0.5032 \: z+k} so that the impulse response of the continuous-time filter, sampled at 22 HzHz, is identical at the sampling instants to the …
Official PYQ2016Networks, Signals and SystemsDiscrete-time SignalsNAT · 2 marks
The Discrete Fourier Transform (DFT) of the 44-point sequence x[n]={x[0],x[1],x[2],x[3]}={3,2,3,4}x\left [ n \right ]=\left \{ x\left [ 0 \right ],x\left [ 1 \right ], x\left [ 2 \right ], x\left [ 3 \right ] \right \}= \left \{ 3,2,3,4 \right \} is …
Official PYQ2016Networks, Signals and SystemsCircuit AnalysisNAT · 2 marks
The switch SS in the circuit shown has been closed for a long time. It is opened at t=0t = 0 and remains open after that. Assume that the diode has zero reverse current and zero forward voltage drop. The steady state magnitude of the capacitor voltage VcV_{c} (in volts) is ______
Official PYQ2016Networks, Signals and SystemsLTI SystemsMCQ · 1 mark
If the signal x(t)=sin⁡(t)πtx(t) = \large \frac{\sin(t)}{\pi t}∗*sin⁡(t)πt\large \frac{\sin(t)}{\pi t} with ∗* denoting the convolution operation, then x(t)x(t) is equal to
Official PYQ2016Networks, Signals and SystemsDiscrete-time SignalsMCQ · 1 mark
A discrete-time signal x[n]=δ[n–3]+2δ[n–5]x[n] = \delta[n – 3] + 2 \delta[n – 5] has zz-transform X(z)X(z). If Y(z)=X(−z)Y(z) = X(-z) is the zz-transform of another signal y[n]y[n], then
Official PYQ2016Networks, Signals and SystemsCircuit AnalysisMCQ · 1 mark
In the RLC circuit shown in the figure, the input voltage is given by vi(t)=2cos⁡(200t)+4sin⁡(500t).v_i(t) = 2\cos (200t) + 4\sin (500t). The output voltage vo(t)v_o(t) is
Official PYQ2016Networks, Signals and SystemsCircuit AnalysisNAT · 1 mark
The diodes D1D1 and D2D2 in the figure are ideal and the capacitors are identical. The product RCRC is very large compared to the time period of the ac voltage. Assuming that the diodes do not breakdown in the reverse bias, the output voltage VoV_o(in volt) at the steady state is _______
Official PYQ2016Networks, Signals and SystemsContinuous-time SignalsMCQ · 2 marks
A signal 2cos⁡(2π3t)−cos⁡(πt)2 \cos(\frac{2\pi}{3}t)-\cos(\pi t) is the input to an LTI system with the transfer function H(s)=es+e−s.H(s)=e^s+e^{-s}. If CkC_k denotes the kthk^{th} coefficient in the exponential Fourier series of the output signal, then C3C_3 is equal to
Official PYQ2016Networks, Signals and SystemsCircuit AnalysisNAT · 2 marks
Assume that the circuit in the figure has reached the steady state before time t=0t = 0 when the 3  Ω3\;\Omega resistor suddenly burns out, resulting in an open circuit. The current i(t)i(t) (in ampere) at t=0+t=0^+ is _______
Official PYQ2016Networks, Signals and SystemsCircuit AnalysisMCQ · 2 marks
The zz-parameter matrix [z11z12z21z22]\begin{bmatrix} z_{11} &z_{12}\\ z_{21} &z_{22} \end{bmatrix} for the two-port network shown is
Official PYQ2016Networks, Signals and SystemsDiscrete-time SignalsNAT · 2 marks
A continuous-time speech signal xa(t)x_a(t) is sampled at a rate of 8 kHz8\:kHz and the samples are subsequently grouped in blocks, each of size NN. The DFT of each block is to be computed in real time using the radix-22 decimation-in-frequency FFT algorithm. If the processor performs all operations sequentially, and takes 20 μs20\:\mu s for computing …
Official PYQ2016Networks, Signals and SystemsLTI SystemsMCQ · 2 marks
The direct form structure of an FIR (finite impulse response) filter is shown in the figure. The filter can be used to approximate a
Official PYQ2016Networks, Signals and SystemsCircuit AnalysisNAT · 2 marks
In the circuit shown in the figure, transistor M1M1 is in saturation and has transconductance gm=0.01g_m = 0.01 siemens. Ignoring internal parasitic capacitances and assuming the channel length modulation λ\lambda to be zero,the small signal input pole frequency (in kHzkHz) is _________
Official PYQ2016Networks, Signals and SystemsLTI SystemsMCQ · 2 marks
A second-order linear time-invariant system is described by the following state equations ddtx1(t)+2x1(t)=3u(t)\frac{d}{dt}x_1(t)+2x_1(t)=3u(t) ddtx2(t)+x2(t)=u(t)\frac{d}{dt}x_2(t)+x_2(t)=u(t) where x1(t)x_1(t) and x2(t)x_2(t) are the two state variables and u(t)u(t) denotes the input. If the output c(t)=x1(t)c(t)=x_1(t), then the system is
Official PYQ2016Networks, Signals and SystemsLTI SystemsNAT · 2 marks
The forward-path transfer function and the feedback-path transfer function of a single loop negative feedback control system are given as G(s)=K(s+2)s2+2s+2  andH(s)=1,G(s)=\frac{K(s+2)}{s^2+2s+2}\;\text{and}\hspace{0.3cm}H(s)=1, respectively. If the variable parameter KK is real positive, then the location of the breakaway point on the root locus diagram of the system is …
Official PYQ2016Networks, Signals and SystemsLTI SystemsMCQ · 2 marks
A wide sense stationary random process X(t)X(t) passes through the LTI system shown in the figure. If the autocorrelation function of X(t)X(t) is RX(τ)R_X(\tau), then the autocorrelation function RY(τ)R_Y(\tau) of the output Y(t)Y(t) is equal to
Official PYQ2015Networks, Signals and SystemsCircuit AnalysisNAT · 1 mark
In the circuit shown, at resonance, the amplitude of the sinusoidal voltage (in Volts) across the capacitor is ____________.