Design a filter that has the transfer function HH s 5 s3 s 100 s

Chapter 16, Problem P16.5-2

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QUESTION:

Design a filter that has the transfer function

\(H_{\mathrm{H}}(s)=\frac{5 \cdot s^3}{(s+100)\left(s^2+100 s+10,000\right)}\)

Questions & Answers

QUESTION:

Design a filter that has the transfer function

\(H_{\mathrm{H}}(s)=\frac{5 \cdot s^3}{(s+100)\left(s^2+100 s+10,000\right)}\)

ANSWER:

Step 1 of 4

Given transfer function in this form:

Second order part of transfer function to general equation of second order high-pass transfer function:

Second order part of transfer function:

General second order high-pass filter transfer function equation:

By comparing these two functions we can conclude that:

By comparing numerators:

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