Short answer section - no partial credit, justification of your answers is neith

Question

Short answer section - no partial credit, justification of your answers is neither necessary nor considered in grading. (Fill in the boxes next to all correct statements): A good sampling frequency is one-half the frequency of interest. Sampling at the Nyquist frequency provides good frequency information but not necessarily good amplitude information. A good starting point for sample interval selection is one-fourth to one-tenth the time constant of the fastest transfer function in the system. Phase lead compensators increase the amount the output lags the input. Phase lead compensators can introduce higher levels of high-frequency noise into a system. The error associated with an 8-bit digital sensor is sixteen times larger than the error 12-bit sensor. An inherently stable continuous-time feedback control system can be made unstable introducing sampling to one or more of the analog signals. Stability in continuous-time systems requires that all poles and zeros reside in the half of the s-domain complex plane. Stability in discrete-time systems requires that all poles and zeros reside inside circle of the z-domain complex plane. Discrete-time (digital) controllers can contain nonlinear functions.

Explanation / Answer

A good sampling should be twice the given frequency and not half. So the first statement is wrong.

Nyquist sampling covers a wide range of frequencies by missing some of the information. So the statement is correct.

The time interval of [4,10] or one fourth tonone tenth of the time constant is considered to be good sampling class interval. So the statement is correct.

Phase lead compensation has nothing to do with the lag. It just enhances the signal. So the statement is incorrect.

Phase lead compensation attenuates ( stops) noise and does not enhance it. So the statement is incorrect.

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