GATE ECE 2023 PYQ

In the circuit shown below, and are silicon diodes with cut-in voltage of . and are input and output voltages in volts. The transfer characteristic is

In the circuit below, the voltage is ____ . (rounded off to two decimal places)

The of the circuit shown below is

For a MOS capacitor, and are the flat-band voltage and the threshold voltage, respectively. The variation of the depletion width for varying gate voltage is best represented by

In the circuit shown below, and are bias voltages. Based on input and output impedances, the circuit behaves as a

The frequency of occurrence of 8 symbols is shown in the table below. A symbol is chosen and it is determined by asking a series of "yes/no" questions which are assumed to be truthfully answered. The

For a real signal, which of the following is/are valid power spectral density/densities?

The signal-to-noise ratio (SNR) of an ADC with a full-scale sinusoidal input is given to be . The resolution of the ADC is _____ bits. (rounded off to the nearest integer).

Let a frequency modulated (FM) signal , where is a message signal of bandwidth . It is passed through a non-linear system with output . Let denote the FM bandwidth. The minimum value of required to re

A closed loop system is shown in the figure where and . The steady state error due to a ramp input is given by

The open loop transfer function of a unity negative feedback system is , where and are positive constants. The phase crossover frequency, in rad/s, is

In the following block diagram, and are two inputs. The output is expressed as . and are given by

The asymptotic magnitude Bode plot of a minimum phase system is shown in the figure.The transfer function of the system is , where and are positive constants. The value of is ___ (rounded off to the n

In the circuit shown below, and are the inputs. The logical function realized by the circuit shown below is

The synchronous sequential circuit shown below works at a clock frequency of . The throughput, in bits/s, and the latency, in ns, respectively, are

In a given sequential circuit, initial states are and . For a clock frequency of , the frequency of signal in , is ____ (rounded off to the nearest integer).

For the circuit shown below, the propagation delay of each NAND gate is . The critical path delay, in ns, is ____ (rounded off to the nearest integer).

A cascade of common-source amplifiers in a unity gain feedback configuration oscillates when

Consider a narrow band signal, propagating in a lossless dielectric medium , with phase velocity and group velocity . Which of the following statement is true? ( is the velocity of light in vacuum.)

The following circuit(s) representing a lumped element equivalent of an infinitesimal section of a transmission line is/are

The standing wave ratio on a lossless transmission line terminated in an unknown load impedance is found to be 2.0. The distance between successive voltage minima is and the first minimum is located a

The electric field of a plane electromagnetic wave is Which of the following combination(s) will give rise to a left handed elliptically polarized (LHEP) wave?

A transparent dielectric coating is applied to glass to eliminate the reflection of red light . The minimum thickness of the dielectric coating, in , that can be used is ____ (rounded off to two decim

In a semiconductor, if the Fermi energy level lies in the conduction band, then the semiconductor is known as

In an extrinsic semiconductor, the hole concentration is given to be where is the intrinsic carrier concentration of . The ratio of electron to hole mobility for equal hole and electron drift current

For an intrinsic semiconductor at temperature , which of the following statement is true?

In a semiconductor device, the Fermi-energy level is above the valence band energy. The effective density of states in the valence band at is . The thermal equilibrium hole concentration in silicon at

The h-parameters of a two port network are shown below. The condition for the maximum small signal voltage gain is

In the circuit shown below, switch was closed for a long time. If the switch is opened at , the maximum magnitude of the voltage , in volts, is ____ (rounded off to the nearest integer).

For the two port network shown below, the -parameters is given as The value of load impedance , in , for maximum power transfer will be ____ (rounded off to the nearest integer).

A sample and hold circuit is implemented using a resistive switch and a capacitor with a time constant of . The time for sampling switch to stay closed to charge a capacitor adequately to a full scale

The switch was closed and was open for a long time. At , switch is opened and is closed, simultaneously. The value of , in amperes, is

The S-parameters of a two port network is given as with reference to . Two lossless transmission line sections of electrical lengths and are added to the input and output ports for measurement purpose

A series circuit has a quality factor of 1000 at a center frequency of . The possible values of and are

In the circuit shown below, the current flowing through resistor is ____ (rounded off to two decimal places).

Let an input having discrete time Fourier transform. be passed through an LTI system. The frequency response of the LTI system is . The output of the system is

Let be a strictly band-limited signal with bandwidth and energy . Assuming , the energy in the signal is

Let and is shown in the figure below. For , the is ___. (rounded off to the nearest integer).

In the table shown below, match the signal type with its spectral characteristics. [latex] {ll} & \\ & \\ & \\ & }\\ & } [/latex]

Consider a discrete-time periodic signal with period . Let the discrete-time Fourier series (DTFS) representation be , where , and . The value of the sum is

The Fourier transform of is

Let and be two band-limited signals having bandwidth . In the figure below, the Nyquist sampling frequency, in rad/s, required to sample , is

Consider a system with input and output . The system is

Let be passed through an LTI system having impulse response . The output of the system is

Let be a white Gaussian noise with power spectral density . If is input to an LTI system with impulse response . The average power of the system output is ___ . (Rounded off to two decimal place).