Basics of digital filters sub band coding
This presentation is the property of its rightful owner.
Sponsored Links
1 / 9

Basics of Digital Filters & Sub-band Coding PowerPoint PPT Presentation


  • 49 Views
  • Uploaded on
  • Presentation posted in: General

Basics of Digital Filters & Sub-band Coding. Gilad Lerman Math 5467 (stealing slides from Gonzalez & Woods). Digital Filters. The basic setting Assumptions: Input and output signals in or ( n -periodic) The filter is linear → matrix representation

Download Presentation

Basics of Digital Filters & Sub-band Coding

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


Basics of digital filters sub band coding

Basics of Digital Filters & Sub-band Coding

Gilad Lerman

Math 5467

(stealing slides from

Gonzalez & Woods)


Digital filters

Digital Filters

  • The basic setting

  • Assumptions:

  • Input and output signals in or (n-periodic)

  • The filter is linear → matrix representation

  • The filter is shift invariant, i.e.

  • 2 & 3 ↔

  • representing matrix is Toeplitz

  • In finite case H = A


Filters

Filters

or in book notation

We note that

In particular


Basics of digital filters sub band coding

Notation


Filters1

Filters

Z-transform

Frequency Response

Additional factor 2 will make it FT of the l1signal h


Basics of digital filters sub band coding

FIR

  • Impulse Response = Filter response to 0

  • FIR = Finite Impulse Response

  • K coefficients → length K filter (convolution is K-periodic)

  • Example


More on example

More on example


Basics of digital filters sub band coding

Example: Transformations of Filters


Basics of digital filters sub band coding

Sub-band (two-band) Filters

Need to have h0 h1 g0g1 of perfect reconstruction


  • Login