## Marks 1

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An LTI system with unit sample response $$h\left( n \right) = 5\delta \left[ n \right] - 7\delta \left[ {n - 1} \right]... GATE ECE 2017 Set 2 Consider a single input single output discrete-time system with$$h\left[ n \right]\,$$as input and$$y\left[ n \right...
GATE ECE 2017 Set 1
A system is defined by its impulse response $$h\left( n \right) = {2^n}\,u\left( {n - 2} \right).$$ The system is
GATE ECE 2011
Two discrete time systems with impulse responses $${h_1}\left[ n \right]\, = \delta \left[ {n - 1} \right]$$ and $${h_2}... GATE ECE 2010 The impulse response$$h\left[ n \right]$$of a linear time-invariant system is given by$$h\left[ n \right] = u\le...
GATE ECE 2004
A sequence $$x\left( n \right)$$ with the $$z$$-transform $$X\left( z \right)$$ $$= {z^4} + {z^2} - 2z + 2 - 3{z^{ - 4}... GATE ECE 2003 ## Marks 2 More Two sequence$${x_1}\left[ n \right]$$and$${x_2}\left[ n \right]$$have the same energy. Suppose$${x_1}\left[ n \rig...
GATE ECE 2015 Set 3
Consider a discrete-time signal $$x\left[ n \right] = \left\{ {\matrix{ {n\,\,for\,\,0 \le n \le 10} \cr {0\,\... GATE ECE 2014 Set 2 Let$$y\left[ n \right]$$denote the convolution of$$h\left[ n \right]$$and$$g\left[ n \right]$$, where$$h\left[ n \...
GATE ECE 2012
Two system $${H_1}\left( z \right)$$ and $${H_2}\left( z \right)$$ are connected in cascade as shown below. The overall ...
GATE ECE 2011
The transfer function of a discrete time LTI system is given by $$H\left( z \right) = {{2 - {3 \over 4}{z^{ - 1}}} \ove... GATE ECE 2010 A discrete time linear shift - invariant system has an impulse response$$h\left[ n \right]$$with$$h\left[ 0 \right]$$... GATE ECE 2008 A system with input$$x\left( n \right)$$and output$$y\left( n \right)$$is given as$$y\left( n \right) = \left(...
GATE ECE 2006
A causal LTI system is described by the difference equation $$2y\left[ n \right] = ay\left[ {n - 2} \right] - 2x\left[ n... GATE ECE 2004 The impulse response$$h\left[ n \right]$$of a linear time invariant system is given as$$h\left[ n \right] = \left\{ ...
GATE ECE 2004
Let P be linearity, Q be time-invariance, R be causality and S be stability. A discrete time system has the input-outpu...
GATE ECE 2003
GATE ECE 1988

## Marks 5

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In Fig. 1, a linear time invariant discrete system is shown. Blocks labeled D represent unit delay elements. For $$n\, ... GATE ECE 1997 A system having a unit impulse response$$h\left( n \right)$$=$$u\left( n \right)$$is excited by a signal$$x\lef...
GATE ECE 1996
In the linear time-invariant system shown in Fig. 1, blocks labeled D represent unit delay elements. Find the expression...
GATE ECE 1996

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