1
GATE ECE 2024
MCQ (Single Correct Answer)
+1
-0.33

A causal and stable LTI system with impulse response h(t) produces an output y(t) for an input signal x(t). A signal x(0.5t) is applied to another causal and stable LTI system with impulse response h(0.5t). The resulting output is ____.

A

2y(0.5t)

B

4y(0.5t)

C

0.25y(2t)

D

0.25y(0.25t)

2
GATE ECE 2015 Set 3
MCQ (Single Correct Answer)
+1
-0.3
Consider a four-point moving average filter defined by the equation $$y[n] = \sum\limits_{i = 0}^3 {{\alpha _i}x[n - i]} $$. The condition on the filter coefficients that results in a null at zero frequency is
A
$${\alpha _1} = {\alpha _2} = 0;\,{\alpha _0} = - {\alpha _3}$$
B
$${\alpha _1} = {\alpha _2} = 1;\,{\alpha _0} = - {\alpha _3}$$
C
$${\alpha _0} = {\alpha _3} = 0;\,{\alpha _1} = {\alpha _2}$$
D
$${\alpha _1} = {\alpha _2} = 0;\,{\alpha _0} = {\alpha _3}$$

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General Aptitude
Verbal Ability Logical Reasoning Numerical Ability
Network Theory
Network Elements State Equations For Networks Network Graphs Miscellaneous Sinusoidal Steady State Response Network Theorems Two Port Networks Transient Response
Microprocessors
Pin Details of 8085 and Interfacing with 8085 Instruction Set and Programming with 8085
Signals and Systems
Discrete Fourier Transform and Fast Fourier Transform Discrete Time Signal Fourier Series Fourier Transform Continuous Time Signal Laplace Transform Fourier Transform Representation of Continuous Time Signal Fourier Series Transmission of Signal Through Continuous Time LTI Systems Miscellaneous Sampling Continuous Time Linear Invariant System Discrete Time Linear Time Invariant Systems Discrete Time Signal Z Transform Transmission of Signal Through Discrete Time Lti Systems
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Maxwell Equations Transmission Lines Uniform Plane Waves Antennas Waveguides Miscellaneous
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PN Junction Semiconductor Physics IC Basics and MOSFET BJT and FET
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Analog Communication Systems Noise In Digital Communication Random Signals and Noise Fundamentals of Information Theory Digital Communication Systems
Engineering Mathematics
Probability and Statistics Transform Theory Numerical Methods Calculus Differential Equations Linear Algebra Vector Calculus Complex Variable
Analog Circuits
Frequency Response Operational Amplifier Power Amplifier Diodes Oscillators Feedback Amplifier 555 Timer Bipolar Junction Transistor FET and MOSFET
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