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ROC stands for?
A. Region of Coefficients
B. Region of Convergence
C. Rate of Convergence
D. Range of Coefficients
B. Region of Convergence
The ROC tells us...
A. Signal amplitude
B. Poles only
C. Where the Z-transform converges
D. Sampling frequency
C. Where the Z-transform converges
Which variable is used in the Z-transform?
A.s
B.ω
C.z
D.t
C.z
The ROC can NEVER contain
A.Zeros
B.Origin
C.Poles
D.Infinity
C.Poles
A left-sided sequence has ROC
A.Outside pole
B.Inside pole
C.Entire plane
D.Unit circle
B.Inside pole
The ROC of a two-sided sequence is
A.Entire plane
B.Outside poles
C.Between poles
D.Unit circle
C.Between poles
If the unit circle lies inside the ROC,
A.DTFT exists
B.Poles disappear
C.ROC changes
D.Sequence finite
A.DTFT exists
Which property depends on the unit circle?
A.Frequency
B.Stability
C.Sampling
D.Amplitude
B.Stability
Two signals can have the same X(z) because
A.Different amplitudes
B.Different ROCs
C.Different frequencies
D.Different zeros
B.Different ROCs
A stable and causal system has poles
A.Outside unit circle
B.Inside unit circle
C.On unit circle
D.At infinity
B.Inside unit circle
Finite-duration sequence ROC is
A.Outside poles
B.Entire plane except possibly 0 or ∞
C.Inside poles
D.Between poles
B.Entire plane except possibly 0 or ∞
DTFT is obtained by evaluating on
A.Real axis
B.Imaginary axis
C.Unit circle
D.Positive axis
C.Unit circle
For x[n]=aⁿu[n], the ROC is
A.|z|<|a|
B.|z|>|a|
C.|z|=|a|
D.Entire z-plane
B.|z|>|a|
Poles at 0.3,0.8,1.5. Causal but NOT stable ROC?
A.|z|<0.3
B.0.3<|z|<0.8
C.0.8<|z|<1.5
D.|z|>1.5
D.|z|>1.5
Poles at z=0.4 and z=1.2.
Which ROC is causal?
A. |z|<0.4
B. 0.4<|z|<1.2
C. |z|>1.2
D. Entire z-plane
C. |z|>1.2