An A/D converter can be thought of composed of three subsystems: a sampler, a quantizer, and a
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An A/D converter can be thought of composed of three subsystems: a sampler, a quantizer, and a coder.
(a) The sampler, as a system, has as input an analog signal x(t) and as output a discrete-time signal x(nTs) = x(t)|t=nTs, where Ts is the sampling period. Determine whether the sampler is a linear system or not.
(b) Sample x(t) = cos (0.5πt) u(t) and x(t − 0.5) using Ts = 1 to get y(nTs) and z(nTs), respectively. Plot x(t), x(t − 0.5) and y(nTs) and z(nTs). Is z(nTs) a shifted versions of y(nTs) so that you can say the sampler is time-invariant? Explain.
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