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] :

where
$F(c)$ determines the frequency where the filter peaks, and
${Q}_{c}(\frac{1}{Q})$ 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.

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

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

do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?

fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.

Tarell

what is the actual application of fullerenes nowadays?

Damian

That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.

Tarell

what is the Synthesis, properties,and applications of carbon nano chemistry

Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.

Harper

Do you know which machine is used to that process?

In this morden time nanotechnology used in many field .
1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc
2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc
3- Atomobile -MEMS, Coating on car etc.
and may other field for details you can check at Google

Azam

anybody can imagine what will be happen after 100 years from now in nano tech world

Prasenjit

after 100 year this will be not nanotechnology maybe this technology name will be change .
maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments

Azam

name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world

Prasenjit

how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?

Damian

silver nanoparticles could handle the job?

Damian

not now but maybe in future only AgNP maybe any other nanomaterials

Azam

Hello

Uday

I'm interested in Nanotube

Uday

this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15

Prasenjit

how did you get the value of 2000N.What calculations are needed to arrive at it