1. Determine whether the following system is linear or non-linear, causal or non-causal, time invariant or time variant, memoryless or with memory. Justify your answers. y(t) = 2x(t - 1)
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Given y(t) = 2x(t - 1), if we apply x1(t) and x2(t) producing outputs y1(t) and y2(t) respectively, then the output for ax1(t) + bx2(t) should be a*y1(t) + b*y2(t). Since y(t) = 2x(t - 1) is a linear transformation (scaling and shifting), the system is linear. Show more…
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