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1
GATE EE 2006
MCQ (Single Correct Answer)
+2
-0.6
The discrete-time signal $$$x\left[n\right]\leftrightarrow X\left(z\right)={\textstyle\sum_{n=0}^\infty}\frac{3^n}{2+n}z^{2n}$$$ where $$\leftrightarrow$$ denote a transform-pair relationship, is orthogonal to the signal
A
$$y_1\left[n\right]\leftrightarrow Y_1\left(z\right)={\textstyle\sum_{n=0}^\infty}\left(\frac23\right)^nz^{-n}$$
B
$$y_2\left[n\right]\leftrightarrow Y_2\left(z\right)={\textstyle\sum_{n=0}^\infty}\left(5^n-n\right)z^{-\left(2n+1\right)}$$
C
$$y_3\left[n\right]\leftrightarrow Y_3\left(z\right)={\textstyle\sum_{n=-\infty}^\infty}2^{-\left|n\right|}z^{-n}$$
D
$$y_4\left[n\right]\leftrightarrow Y_4\left(z\right)=2z^{-4}\;+\;3z^{-2}+1$$
2
GATE EE 2005
MCQ (Single Correct Answer)
+2
-0.6
If u(k) is the unit step and $$\delta\left(k\right)$$ is the unit impulse function, the inverse z-transform of $$F\left(z\right)=\frac1{z+1}$$ for k>0 is:
A
$$\left(-1\right)^k\delta\left(k\right)$$
B
$$\delta\left(k\right)-\left(-1\right)^k$$
C
$$\left(-1\right)^ku\left(k\right)$$
D
$$u\left(k\right)-\left(-1\right)^k$$
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Three Phase Circuits Transient Response Graph Theory Two Port Networks Sinusoidal Steady State Analysis Network Elements Network Theorems
Electromagnetic Fields
Time Varying Fields Electrostatics Magnetostatics
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Continuous and Discrete Time Signals Linear Time Invariant Systems Continuous Time Signal Fourier Transform Discrete Time Signal Z Transformation Continuous Time Signal Laplace Transform Sampling Theorem Continuous Time Periodic Signal Fourier Series Miscellaneous
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Per Unit System Power Generation Cost Power System Stability Symmetrical Components and Symmetrical and Unsymmetrical Faults Circuit Breaker Switch Gear and Protection Load Flow Studies High Voltage Dc Transmission Generating Power Station Parameters and Performance of Transmission Lines
Electrical and Electronics Measurement
Basic of Indicating Instruments Error Analysis and Measurement Measurement of Resistance and A.C Bridges Measurement of Energy and Power Digital Voltmeters Questions Potentiometer and Instrument Transformers Cathode Ray Oscilloscope
Analog Electronics
Diode Circuits and Applications Frequency Response Bjt and Mosfet Biasing 555 Timer Feedback Amplifiers and Oscillator Circuits Operational Amplifier Small Signal Modeling
Control Systems
Time Response Analysis Block Diagram and Signal Flow Graph Polar Nyquist and Bode Plot State Variable Analysis Root Locus Techniques Basics of Control System Routh Hurwitz Stability Controller and Compensator
Power Electronics
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Digital Electronics
Boolean Algebra Logic Gates Combinational Circuits Minimization Logic Families and Memories Sequential Circuits Analog to Digital and Digital to Analog Converter Microprocessor
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