Tasks

ROCs

Instructions

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

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
Stabe  
Causal  
Given
Observations

s-Plane 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)

a:  
b:  
c:  
d:  
e:  
f:  
S-Plane Plot
Filter Response Plot

s-Plane and Magnitude Response (Imaginery)

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)

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

Filter to implement
a  
b  
c  
d  
Observations
Observations