Practice previous years' questions for Electromagnetics, Antennas, Microwave Engineering, Digital Communication, Signals & Systems, Analog Electronics, VLSI, and Optical Communications.
Marking scheme: +3.00 positive, -0.75 negative (ICRB Standard).
A microprocessor has a cache memory with access time of 2 ns and a main memory with access time of 10 ns. If the cache miss ratio is 0.6, what is the average memory access time?
Consider the following assembly code for a hypothetical RISC processor with a 4-stage pipeline (Instruction Fetch, Decode/Register Read, Execute and Write).
add r1, r2, r3 // r1 = r2 + r3 sub r4, r1, r3 // r4 = r1 - r3 mul r5, r2, r3 // r5 = r2 * r3
Identify the possible pipeline hazard and the affected instruction.
A zero memory source emits six messages with probabilities 0.3, 0.25, 0.15, 0.12, 0.1 and 0.08. If binary Huffman coding is used, what will be the average code length?
In the circuit given below, assume that $Vcc=15V$; Z1, Z2, Z3 & Z4 are identical zener diodes with breakdown voltage of 5V; $R1=R4=5k\Omega$, $R2=R3=10k\Omega$. Find Vo when Q1 is OFF.
Assume that $Vi=2V$; $R3=10\Omega$; $\beta$ of $Q1=50$; $V_{CC}=15V$. Find $I_{\text{out}}$.
A sample and hold amplifier is connected to an ADC. The acquisition time of the sample and hold amplifier is 10 μsec and the conversion time of the ADC is 15 μsec. What is the highest possible data rate?
In an inverting OP-AMP, the input bias current is -1μA, and the input and the feedback resistances are both 1MΩ. What will be the output voltage for an input voltage of 2.5V?
Which of the following devices can be used for generating a PWM signal?
A microwave receiving antenna on a satellite is pointing towards the earth. The antenna beamwidth is 50 degrees. The earth subtends 5 degrees at the satellite. What will be the noise temperature of the antenna?
Estimate the magnitude and phase of the element $S_{11}$ of the S-matrix of the circuit shown below. Assume an operating frequency of 25 MHz.
The electric field measured in the far field of an antenna at a distance of 50m is $1\text{V/m}$. The average power density at a distance of 500m from the antenna is
A quarter wave monopole antenna is situated above a perfectly conducting ground plane. It is driven by a 50V source at 500MHz through an internal impedance of 63.5Ω. The average power radiated by the antenna is
Directional derivative of $U=2x^{3}y-3y^{2}z$ at $P(1, 2, -1)$ in a direction towards $Q(3, -1, 5)$ is
Consider the equation $\operatorname{Re}(1/z)=c$, where $z$ is a complex number, $c$ is a nonzero constant and $\operatorname{Re}()$ represents the real part. The equation describes a
How many adders are required to realize a 256 point radix-2 FFT using decimation-in-time?
A uniformly distributed random signal $x[n]$ with mean $m_{x}=2$ and variance $\sigma_{x}^{2}=3$ is passed through a 3-point moving-average filter having an impulse response $\{h[n]\}=\{1/3, 1/3, 1/3\}$. What will be the mean and variance of output?
A sine wave is applied to a balanced modulator. The peak output envelope power is 1000 times the minimum output envelope power. Estimate the carrier suppression in dBc.
Consider a single error correcting (7, 4) cyclic code with generator matrix $g(x)=x^{3}+x^{2}+1$. What will be the transmitted data if received vector r is 1101101?
Consider a Golay's (23,12) code with $t$ bits of error correction capability. For what value of $t$ will the code exactly satisfy the Hamming bound?
The maximum range of a monostatic Radar is R. If a target having a Radar cross-section of $10\text{m}^{2}$ exists at $R/2$, what should be the target cross-section at $3R/2$ to result in an equal signal strength at the Radar?
The electric field intensity at a distance of 10km from an antenna having a directive gain of 10dB and radiating a total power of 60kW is
What is the characteristic impedance of a coaxial transmission line having inner conductor radius of 1mm, outer conductor radius of 2mm and dielectric constant of 4.0?
An impedance of 10-j2 ohms is connected to another impedance of $45+j5$ ohms through a transmission line having a characteristic impedance of 50 ohms. Assess the stability of this circuit.
A transmission line of characteristic impedance 75 ohms is terminated with an impedance of 50 ohms. The line length is increased from 0 (zero). What will be the locus of the input impedance at the other end of the line? (N.B.: Reference impedance of Smith Chart = 50 Ohms)
The value of the integral $\oint \frac{\sin z}{z^{3}} \, dz$ around the circle $|z|=2$ is