Enter the number of ROCs for the given s-plane plot
Then enter the ROCs in increasing region order, as \( [R1, R2] \) for the ROC \( R1 <
|s| < R2 \)
Truncate your answer to two decimals, for example, 0.1283 should be entered as
0.12. If your value is infinity, you may enter "Inf" or "inf".
Number of ROCs
Given
Observations
Stability and Causality
Instructions
Enter the ROC number in the field as referenced in the ROC List on the left,
corresponding to stable and causal
ROCs
Stable
Causal
Given
Observations
Pole-Zero and Magnitude Response (Real)
Instructions
s-Transform is
H(s) = \( \frac{(s-a)(s-b)(s-c)}{(s-d)(s-e)(s-f)} \)
Fill the values of a, b, c, d, e, f (all real). Values for b and d should be < 10, and
we will plot from -20 to 20.
a:
b:
c:
d:
e:
f:
S-Plane Plot
Filter Response Plot
Pole-Zero and Magnitude Response (Imaginary)
Instructions
s-Transform is
H(s) = \( \frac{(s-s_{1})(s-s_{1}^{*})}{(s-s_{2})(s-s_{2}^{*})} \)
Here \(s_{1}\) and \(s_{2}\) are complex numbers with \(s_{1} = a + jb\) and \(s_{2} =
c + jd\)
Fill the values of a, b, c, d (all real). Values for b and d should be < 10, and we
will plot from -20 to 20.
a:
b:
c:
d:
S-Plane Plot
Filter Response Plot
Filtering
Instructions
Transfer Function is
H(z) = \( \frac{(s-s_{1})(s-s_{1}^{*})}{(s-s_{2})(s-s_{2}^{*})} \)
Here \(s_{1}\) and \(s_{2}\) are complex numbers with \(s_{1} = a + jb\) and \(s_{2} =
c + jd\)
Fill the values of a, b, c, d (all real) such that the system follows the filter
specified on the left. Values for b and d should be < 10, and we will plot from -20 to
20.