T/F RAT REVIEW Flashcards
True/False? The system below illustrates a parallel connection of two LTI systems with system
functions H(s) and G(s
False (Feedback)
True/False? In the system in the figure above, H(s) is the system function for the feedforward
path
True
True/False? Negative feedback can be used to make an unstable system stable by moving a
pole from the right half-plane to the left half-plane.
True
Which example listed below is NOT an application of feedback discussed in the reading and
videos:
* Stabilization of Unstable Systems
* Compensation for Nonideal Elements
* Creating Inverse Systems
* Transmuting Lead into Gold
Transmuting Lead into Gold
True/False? If an LTI system is causal and stable, all of the poles of H(s)
are in the right half plane, i.e., all of the poles have Re{s}>0.
False
True/False? If an LTI system is stable, then the ROC for H(s) includes the
real axis in the s-plane, i.e., s=σ
False (Imaginary jw)
True/False? If two LTI systems are connected in series, the overall
transfer function is the sum of their individual transfer functions
Htotal (s) = H1(s) + H2(s)
False (Parallel)
Which of the following connection of systems is shown in the figure?
* Parallel
* Inverse
* Feedback
* Series
Parallel
True/False? The frequency response magnitude |H(jω)| increases for
the region of the imaginary axis near a pole.
FALSE
True/False? Moving a pole closer to the imaginary axis makes the
corresponding peak in |H(jω)| broader and less sharp.
False (sharp)
True/False? Taking the integral of a signal in time corresponds to
multiplying the Laplace transform by (1/s), i.e., (1/s)X(s)
True
True/False? Shifting a signal in time by t 0 corresponds to a Laplace
transform of X(s/t 0).
False (use the table bozo)
True/False? The region of convergence (ROC) for a Laplace transform
must contain all of the poles of X(s).
False
True/False? The ROC for a Laplace transform X(s) must always be a
circle or disk shaped region in the complex plane.
False
True/False? For a rational Laplace transform X(s) = N(s)/D(s), the roots
of D(s) are called the poles of the transform
True
True/False? Evaluating the Laplace transform on the unit circle s =
ejω gives the Fourier Transform (assuming the signal x(t) had a Fourier
Transform)
False