Home / Week 4 Exercises / A Gain and a Gain

A Gain and a Gain

The questions below are due on Sunday March 03, 2019; 11:00:00 PM.
 
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Consider a system described by the following block diagram, where {\cal H}_0 is some unknown system functional, and \alpha is a tunable gain:

When \alpha = 10, the system functional of the composite system is:

\left.\frac{Y}{X}\right|_{\alpha=10} = \frac{1+{\cal R}}{2+{\cal R}}

 

What is the system functional of the composite system when \alpha = 50?

Enter your answer by specifying the lists of coefficients of the numerator and denominator Polynomials of the system functional:

System Functional:
Numerator coeffs (in {\cal R}):
Denominator coeffs (in {\cal R}):