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Signals and Systems
Linear Time Invariant Systems
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Continuous Time Signal Fourier Transform
Continuous Time Periodic Signal Fourier Series
Discrete Time Signal Z Transformation
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Continuous Time Signal Laplace Transform
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GATE EE
Discrete Time Signal Z Transformation
Signals and Systems
Previous Years Questions
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Marks 1
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The pole-zero plots of three discrete-time systems P, Q and R on the z-plane are shown below. Which one of the followin...
GATE EE 2017 Set 2
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The z-Transform of a sequence x[n] is given as X(z) = 2z+4−4/z+3/z2. If y[n] is the first difference of x[n], then Y(Z) ...
GATE EE 2015 Set 2
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Marks 2
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A cascade system having the impulse responses $$$\begin{array}{l}h_1\left(n\right)=\left\{1,\;-1\right\}\;\;\;and\;\;h_2...
GATE EE 2017 Set 2
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Consider a discrete time signal given by x[n]=(-0.25)nu[n]+(0.5)nu[-n-1] The region of convergence of its Z-transform wo...
GATE EE 2015 Set 1
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Let $$X\left(z\right)=\frac1{1-z^{-3}}$$ be the Z–transform of a causal signal x[n]. Then, the values of x[2] and x[3] a...
GATE EE 2014 Set 1
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A discrete system is represented by the difference equation $$$\begin{bmatrix}X_1\left(k+1\right)\\X_2\left(k+2\right)\e...
GATE EE 2014 Set 2
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Given X(z)=$$\frac z{\left(z-a\right)^2}$$ with $$\left|z\right|$$ > a, the residue of X(z)zn-1 at z = a for n $$\geq...
GATE EE 2008
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The discrete-time signal $$$x\left[n\right]\leftrightarrow X\left(z\right)={\textstyle\sum_{n=0}^\infty}\frac{3^n}{2+n}z...
GATE EE 2006
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If u(k) is the unit step and $$\delta\left(k\right)$$ is the unit impulse function, the inverse z-transform of $$F\left(...
GATE EE 2005
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