The input-output equation characterizing an amplifier that saturates once the input reaches certain values is where x (t) is the input and y (t) the output. (a) plot the relation between the input x (t) and the output y (t). is this a linear system? for what range of input values is the system linear, if any? (b) suppose the input is a sinusoid x (t) = 20 cos (2πt) u (t), carefully plot x (t) and y (t) for t = - 2 to 4. (c) let the input be delayed by 2 units of time, i. e, the input is x1 (t) = x (t - 2) find the corresponding output y1 (t), and indicate how it relates to the output y (t) due to x (t) found above. is the system time-invariant?
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