# CT203 Tutorial-13 - Signals and Systems(CT 203 Tutorial...

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Signals and Systems (CT 203) Tutorial Sheet-13 DA-IICT, Gandhinagar. 1. By computing the group delay at three selected frequencies, verify that the frequency response 1 1 H j has nonlinear phase characteristics. 2. Consider a discrete-time lowpass filter whose impulse response   h n is known to be real and whose frequency response magnitude is given by 1, 4 0, j H e otherwise Determine and sketch real valued impulse response   h n for this filter when the corresponding group delay function is given as 5.   3. Consider a continuous-time causal and stable LTI system whose input   x t and output   y t are related by the differential equation       5 2 dy t y t x t dt What is the final value of the step response   s t of this filter? Also determine the value of o t for which   2 1 1 . o t t o s t s t s e 4. A real-valued signal
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