Design a filter that has the transfer function HN s 4 s 2 62,500 2 s 2 250s 62,500 2

Chapter 16, Problem P16.5-6

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Design a filter that has the transfer function

\(H_{\mathrm{N}}(s)=\frac{4\left(s^2+62,500\right)^2}{\left(s^2+250 s+62,500\right)^2}\)

Questions & Answers

QUESTION:

Design a filter that has the transfer function

\(H_{\mathrm{N}}(s)=\frac{4\left(s^2+62,500\right)^2}{\left(s^2+250 s+62,500\right)^2}\)

ANSWER:

Step 1 of 5

Represent given transfer function like this:

Since we know that the general function of second order notch filter is:

We can conclude that we have two identical second order notch filters in cascade connection with total gain of 4.

We will obtain values of one second order filter with transfer function  and after that we will just connect them in cascade:

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back