Problem 31(c) System is time-invariant, but not linear since the output does not double whenever the input doubles(d) The system is linear but the termbreaks time-invariance(e) The time-dependent te
Problem 21The quantized values are:Analog valuequantized valueDAC output29200131401037401044010-29-2111-31-4110-37-4110-4-4110For the offset binary case,pleme
Problem 13The frequencies in the signal are andkHz The Nyquist interval is [-15,15] kHz, andlies outside it Thus, it will be aliased with giving rise to the signal:A class of signals aliased withand
Problem 51From the delay property of z-transforms, , whereis the z-transform ofThusThe ROC is the entire z-plane with the exception of the point z=0c The unit step has z-transformThuswith ROC Proble
Problem 92The sinusoidal signal is something like , where kHz Its spectrum will have peaks atIs there a DFT indexsuch that the th DFT frequencyequals Thus, we expect to see a peak at k = 8 and anoth
Problem 41 The first and last three samples are the transients, and the middle five samples are the steady-state outputsFor the overlap-add method, the input is divided into the following three cont
Problem 31(c) System is time-invariant, but not linear since the output does not double whenever the input doubles(d) The system is linear but the termbreaks time-invariance(e) The time-dependent te
Problem 61a c d e f Problem 62Note that when you send in a unit step, the output always settles to a constant value (for a stable filter) That constant value can be easily precalculated as For the a
Problem 13The frequencies in the signal are andkHz The Nyquist interval is [-15,15] kHz, andlies outside it Thus, it will be aliased with giving rise to the signal:A class of signals aliased withand
Problem 51From the delay property of z-transforms, , whereis the z-transform ofThusThe ROC is the entire z-plane with the exception of the point z=0c The unit step has z-transformThuswith ROC Proble
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