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The Chamberlin filter topology can implement very narrow-band, low-pass filters. This module provides the Chamberlin filter transfer function, an illustration of the topology, and sample frequency responses for different choices of design parameters.

Introduction

Chamberlin filter topology is frequently used in music applications where very narrow-band, low-pass filters arenecessary. Chamberlin implementations do not suffer from some stability problems that arise in direct-form implementationsof very narrow-band responses. For more information about IIR/FIR filter design for DSPs, refer to the Motorola Application Note .

Filter topology

A Chamberlin filter is a simple two-pole IIR filter with the transfer function given in [link] :

H z F z 2 z -1 1 2 F c Q c F c 2 z -1 1 F c Q c z -2
where F c determines the frequency where the filter peaks, and Q c 1 Q determines the rolloff. Q is defined as the positive ratio of the center frequency to thebandwidth. A derivation and more detailed explanation is given in Dattorro . The topology of the filter is shown in [link] . Note that the final feedback stage puts a pole just inside theunit circle on the real axis. For a response with smaller bandwidth, move the pole closer to the unit circle, but do notmove it so far that the filter becomes unstable. Multiple second-order sections can be cascaded to yield a sharperrolloff.

Chamberlin Filter Topology

[link] and [link] show how the response of the filter varies with Q c and F c .

Chamberlin filter responses for various Q c ( F c .3 )
Chamberlin filter responses for various F c ( Q c .8333 )

Exercise

First, create a MATLAB script that takes two parameters, Q c and F c , and plots the frequency response of a filter with a transfer function given in [link] . Then implement a Chamberlin filter on the DSP and compare itsperformance with that of your MATLAB simulation for the same values of Q c and F c . What do you observe?

Questions & Answers

what are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Ece 320 spring 2004. OpenStax CNX. Aug 24, 2004 Download for free at http://cnx.org/content/col10225/1.12
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