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GATE EC 2016 Set 2 — Question 42

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NAT+2 / -0HardSystem Function H(s) & H(z)LTI SystemsSignals & SystemsDT Processing of CT SignalsDiscrete-Time Signals

Signals & Systems → Discrete-Time Signals → DT Processing of CT Signals

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A continuous-time filter with transfer function H(s)=2s+6s2+6s+8H(s) = \frac{2s + 6}{s^2 + 6s + 8} is converted to a discrete-time filter with transfer function G(z)=2z2−0.5032zz2−0.5032z+kG(z) = \frac{2z^2 - 0.5032 z}{z^2 - 0.5032 z + k} so that the impulse response of the continuous-time filter, sampled at 2 Hz, is identical at the sampling instants to the impulse response of the discrete time filter. The value of kk is ________
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