GATE 2022 Toppers Quiz 23

Output Y of the circuit shown in the figure is

Let 6+8j be a zero of a fourth order linear phase FIR filter. Then the complex number which is NOT a zero of this filter is

The value ‘V_x’ in the figure below is ____ (in V). (Rounded up to two decimal places)

Consider a continuously operating coherent BPSK receiver with the data rate 5000 bits/s. The input digital waveforms are

S₁(t) = A cosω₀t mV

S₂ (t) = - A cos ω₀t mV

Where A = 1 mV, and the single sided noise power spectral density is

N₀=10^-11 W/Hz

Assume that the signal power and energy per bit are normalized relative to a 1Ω resistive load. What is the expected number of bit errors made in one day by the BPSK receiver? (Assume )

Consider the circuit shown below:

All the three NMOS transistors in the circuit have V_T = 1 V, λ = 0, μ_nC_ox = 120 μA/V², L₁ = L₂ = L₃ = 1μm , then gate widths of W₁, W₂ and W₃ are

Consider an aluminium gate-silicon dioxide p-type silicon MOS structure with tox = 450 Å. For an aluminium-silicon dioxide junction, ϕ’_m = 3.20 V and X’ = 3.25 V, E_g = 1.11 eV. The silicon doping is N_a = 3.20 V and X’ = 3.25 V, E_g = 1.11 eV . The silicon doping is Na = 2 × 10¹⁶cm^–3 and the flat-band voltage is VFB = – 1.0 V. The fixed charge, Q’_ss (number of electronic charges per unit area) will be ---------× 10¹⁰ cm^–2.

An anti-aircraft gun can take a maximum of four shots at an enemy plane moving away from it. The probabilities of hitting the plane destroyed at first, second, third and the fourth shot are 0.4, 0.3, 0.2 and 0.1 respectively. What is the probability that the gun hits the plane?