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Define Time and Shift Invariant?
Time and shift invariant means that the system characteristics and shift do not change with time, i.e. the system output is independent of the time the input is applied. For example, if the input x[n] gives the output y[n], then the input x[n - k] will give the output y[n - k]:
x[n] → y[n]
x[n - k] → y[n - k]
that is a delay in the input causes a delay by the same amount in the output signal.
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1. Find the Nyquist rate for the following signals: (a) x(t) = 5 sin 3000Πt cos 4000Πt (b) A binary channel with bit rate 36000 bps is available for PCM voice transmission.
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A universal shift register can shift in both the left-to-right and right-to-left directions, and it has parallel-load capability. Draw a circuit for such a shift register.
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