GATE 2022 Rapid Revision Quiz 10

Consider the circuit shown below:

A matched filter is given the following signal at its input

Peak amplitude (in μV) obtained at the output of the matched filter would be

An AM signal being transmitted has the following representation

x(t) = (40 + 6*sin(40*pi*t))*cos(2*pi*10⁶t) V

Determine the Power (in W) carried by the sidebands in the signal.

The closed loop system is having an open Loop transfer function G(s) for complex roots, the root locus diagram is circle. The radius of the circle is _______ (up to two decimals)

Consider a signal x(n) whose even symmetric part is given by .  Total energy of signal x(n) = Energy of its even symmetric part + energy of its odd symmetric part. Calculate the energy of its odd symmetric part. ______

A silicon n⁺ P junction solar cell has a surface area of 1 cm² and acceptor concentration N_a = 10¹⁵ cm^–3 in the base region. Assume diffusion coefficient of electrons D_n = 35 cm² sec^–1, carrier lifetime of electrons, t_n = 2.57 μsec, and electron–hole pair generation rate (G_L= 2.7 × 10¹⁹ cm^–3 sec^–1). Then the open circuit voltage (V_OC) of the solar cell is ________ V.

(Assume V_T = 26 mV, n_i = 1.5 × 10¹⁰ cm^–3 neglect the contribution of n⁺ region and depletion region).

The input X to the Binary Symmetric Channel (BSC) shown in the figure is '1' with probability 0.8. The cross-over probability is 1/7. If the received bit Y= 0, the conditional probability that '1' was transmitted is ______.

Consider the given circuit having the lower cutoff frequency due to couping capacitor C_C is f_i = 20Hz, then find the value of coupling capacitor C_C in _________ μF