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The following table contains the input-output relations for the continuous-time system and one discrete-time system. Please indicate whether each system is a) Linear b) time-invariant

The following table contains the input-output relations for the continuous-time system and one discrete-time system. 

Please indicate whether each system is a) Linear b) time-invariant c) casual d) stable by answering yes or no in the boxes.


  

y(t) = x(2t) n k=-co y[n] = x[k] Linear? Time- invariant? Causal? Stable?

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i ytx2t Linearity Yes the given continuoustime system is Linear in nature because the system obeys the Superposition principle ie Consider an input x 1 t resulting in an output y 1 t where y 1 tx 1 2t ... blur-text-image

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