New User Special Price Expires in

Let's log you in.

Sign in with Facebook


Don't have a StudySoup account? Create one here!


Create a StudySoup account

Be part of our community, it's free to join!

Sign up with Facebook


Create your account
By creating an account you agree to StudySoup's terms and conditions and privacy policy

Already have a StudySoup account? Login here

Dig Sig Proc&Analys

by: Ophelia Ritchie

Dig Sig Proc&Analys EECS 451

Ophelia Ritchie
GPA 3.8

Andrew Yagle

Almost Ready


These notes were just uploaded, and will be ready to view shortly.

Purchase these notes here, or revisit this page.

Either way, we'll remind you when they're ready :)

Preview These Notes for FREE

Get a free preview of these Notes, just enter your email below.

Unlock Preview
Unlock Preview

Preview these materials now for free

Why put in your email? Get access to more of this material and other relevant free materials for your school

View Preview

About this Document

Andrew Yagle
Class Notes
25 ?




Popular in Course

Popular in Engineering Computer Science

This 2 page Class Notes was uploaded by Ophelia Ritchie on Thursday October 29, 2015. The Class Notes belongs to EECS 451 at University of Michigan taught by Andrew Yagle in Fall. Since its upload, it has received 9 views. For similar materials see /class/231528/eecs-451-university-of-michigan in Engineering Computer Science at University of Michigan.

Similar to EECS 451 at UM

Popular in Engineering Computer Science


Reviews for Dig Sig Proc&Analys


Report this Material


What is Karma?


Karma is the currency of StudySoup.

You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 10/29/15
Recitation 10 EECS 451 Winter 2009 April 1st7 2009 OUTLINE 0 Review of Important Concepts 0 Practice problems Concepts Design of Digital Filters 1 Design of digital HR lters from analog lters a HR lters can generally offer better approximation to a desired magnitude response than FIR lters at the expense of linear phase b For a given analog lter7 we can convert it into a digital lter using a transformation from the s plane to the ziplane7 eg bilinear transformation 2 Bilinear Transformation BLT l l 2 a The mapping of BLT is de ned as s TS iijrjj equivalently z b When analog lter Has has a rational form7 BLT yields a which has a rational form c The entire left half of the s plane is mapped inside the unit circle in the z plane d The entire right half of the s plane is mapped outside the unit circle in the z plane e The imaginary axis in the s plane is mapped onto the unit circle in the z plane 3 Bilinear Transformation BLT a A stable Has yields a stable by performing BLT since all poles in the left half s plane is mapped inside the unit circle in the z plane b Hw depends only on HAD since the imaginary axis in the s plane is mapped onto the unit circle in the z plane c The relationship between w and Q is highly nonlinear called frequency warping given by 2 w 9 itani d Poleszeros at s oo map to poleszeros at z 71 by BLT e Real poleszeros remain real and complex conjugate pairs remain complex conjugate pairs after applying BLT 4 Butterworth lter a They have rational system function Has b The frequency response is given by 1Haltngt12 where N is the order of the lter c The lter has N poles equally spaced on a circle of radius 90 in the left half plane d Pro Maximally at in the pass band e Con Not a sharp cut off 5 Chebyshev lter Type I a They have a rational system function Has b They have equi ripples in the passband and monotonically decreasing in stopband c They are all pole analog lters and the frequency response is given by 7 1 7 1 62012Q c where ON is the N th order Chebyshev polynomial 6 Elliptic lter 1319 a The frequency response is given by 1 H o 2 4 l 1 we where UNz is the Jacobian elliptic function something which we need not know and MATLAB takes care of b Pro Sharpest transition for a given N c Con Ripple in both passband and stopband Problems 1 Use the bilinear transformation to convert the analog lter with system function 3 01 H aw s 012 9 into a digital HR lter Select T9 01 and determine the location of the poles and zeros of 1112


Buy Material

Are you sure you want to buy this material for

25 Karma

Buy Material

BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.


You're already Subscribed!

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

Why people love StudySoup

Jim McGreen Ohio University

"Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."

Kyle Maynard Purdue

"When you're taking detailed notes and trying to help everyone else out in the class, it really helps you learn and understand the I made $280 on my first study guide!"

Bentley McCaw University of Florida

"I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"


"Their 'Elite Notetakers' are making over $1,200/month in sales by creating high quality content that helps their classmates in a time of need."

Become an Elite Notetaker and start selling your notes online!

Refund Policy


All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email


StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here:

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.