1
GATE ECE 1996
Subjective
+5
-0
In the linear time-invariant system shown in Fig. 1, blocks labeled D represent unit delay elements. Find the expression for $$y\left( n \right),$$ and also the transfer function $${{Y\left( z \right)} \over {X\left( z \right)}}$$ in the $$z$$-domain. GATE ECE 1996 Signals and Systems - Discrete Time Linear Time Invariant Systems Question 2 English
2
GATE ECE 1996
MCQ (Single Correct Answer)
+1
-0.3
A rectangular pulse of duration T is applied to a filter matched to this input. The output of the filter is a
A
rectangular pulse of duration T.
B
rectangular pulse of duration 2T.
C
triangular pulse.
D
sine function.
3
GATE ECE 1996
Subjective
+5
-0
A signal 3 sin $$\left( {\pi \,\,{f_0}t} \right) + \,5\,\,\cos \,\,\,(3\pi \,\,{f_0}t)$$ is applied to an RC low pass filter of 3 dB cutoff frequency $${f_0}$$. Determine and plot the output power spectrum and aslo calculate the total input and output normalized power.
4
GATE ECE 1996
Subjective
+5
-0
An input signal A exp $$\left( { - \alpha \,t} \right)$$ u(t) with $$\alpha > 0$$ is applied to a causal filter, the impulse response of which is A exp $$\,( - \alpha \,\,t)$$. Determine the filter output, sketch it as a function of time and lable the important points.
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