Skip to content Skip to navigation

Connexions

You are here: Home » Content » Multirate Filtering: Theory Exercise (Thai Version)

Navigation

Recently Viewed

This feature requires Javascript to be enabled.

Multirate Filtering: Theory Exercise (Thai Version)

Module by: Douglas L. Jones, Swaroop Appadwedula, Matthew Berry, Mark Haun, Jake Janovetz, Michael Kramer, Dima Moussa, Daniel Sachs, Brian Wade, Patrick Frantz, Kamolchanok Kriengchaipruck. E-mail the authors

Based on: Multirate Filtering: Theory Exercise by Douglas L. Jones, Swaroop Appadwedula, Matthew Berry, Mark Haun, Jake Janovetz, Michael Kramer, Dima Moussa, Daniel Sachs, Brian Wade

User rating (How does the rating system work?)
Ratings

Ratings allow you to judge the quality of modules. If other users have ranked the module then its average rating is displayed below. Ratings are calculated on a scale from one star (Poor) to five stars (Excellent).

How to rate a module

Hover over the star that corresponds to the rating you wish to assign. Click on the star to add your rating. Your rating should be based on the quality of the content. You must have an account and be logged in to rate content.

:
(0 ratings)

Summary: You will work through an example problem that explores the effects of sample-rate compression and expansion on the spectrum of a signal.

Note: Your browser may not currently support MathML. See our browser support page for additional details. You can always view the correct math in the PDF version.

Multirate Theory Exercise

พิจารณา sampled signal ที่มี DTFT Xω X ω แสดงใน รูป 1.

รูป 1: DTFT ของ input signal.
รูป 1 (prelab_input.png)

สมมติว่าAssuming U=D=3 U D 3 , ใช้ความสัมพันธ์ดังกล่าว ระหว่าง DTFT ของ signal ก่อนและหลัง sample-rate compression และ expansion (สมการ 1 and สมการ 2) เพื่อร่างค่า DTFT response ของ signal ที่ผ่านเข้าระบบ multirate ของ รูป 2 (โดยปราศจากการ filtering). รวมทั้ง intermediate response Wω W ω และ final response Yω Y ω . ให้ระวังว่าการแปลงค่าจาก digital frequency ω ω เป็น analog frequency ขึ้นอยู่กับค่า sampling rate. ฉะนั้นการแปลงค่า จึงแตกต่างกันสำหรั Xω X ω และ Wω W ω .

Wω=1D∑k=0D−1Xω+2πkD W ω 1 D k 0 D 1 X ω 2 k D (1)
Yω=WUω Y ω W U ω (2)
รูป 2: Multirate System
รูป 2 (prelab_sys.png)

Content actions

Give Feedback:

E-mail the module authors | Rate module ( How does the rating system work?)

Rating system

Ratings

Ratings allow you to judge the quality of modules. If other users have ranked the module then its average rating is displayed below. Ratings are calculated on a scale from one star (Poor) to five stars (Excellent).

How to rate a module

Hover over the star that corresponds to the rating you wish to assign. Click on the star to add your rating. Your rating should be based on the quality of the content. You must have an account and be logged in to rate content.

(0 ratings)

Download:

Module PDF

Add module to:

My Favorites (?)

'My Favorites' is a special kind of lens which you can use to bookmark modules and collections directly in Connexions. 'My Favorites' can only be seen by you, and collections saved in 'My Favorites' can remember the last module you were on. You need a Connexions account to use 'My Favorites'.

| A lens (?)

Definition of a lens

Lenses

A lens is a custom view of Connexions content. You can think of it as a fancy kind of list that will let you see Connexions through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to Connexions materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

Who can create a lens?

Any individual Connexions member, a community, or a respected organization.

What are tags? tag icon

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

| External bookmarks