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Filter Design Using Scilab
Manas DasIndian Institute of Technology, Bombay
March 1, 2012
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Introduction
What is a filter?
A filter is a device or process that removes some unwantedcomponent or feature from a signal.
Manas Das, IITB Filter Design Using Scilab
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Objective
In this presentation i will show how differnt types of filters can bedesigned using scilab.
Manas Das, IITB Filter Design Using Scilab
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This presentation is being divided into following parts:
Different windowing techniques.
Filter design by different in-built functions available inscilab.
Manas Das, IITB Filter Design Using Scilab
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In this slide i will be describing differentwindowing techniques.This can be performed bydifferent window functions with window length byusing the in-built command window().
Manas Das, IITB Filter Design Using Scilab
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Window Functions for FIR Filter Design
Hamming Window.
win=window(’hm’,n)
Kaiser Window.win=window(’kr’,n,alpha)
Chebyshev Window.win=window(’ch’,n,par)
Manas Das, IITB Filter Design Using Scilab
![Page 7: Filter Design Using Scilab In this presentation we have learnt: Different windowing techniques How to design linear phase FIR filter using wfir() How to design linear phase FIR filter](https://reader034.vdocuments.us/reader034/viewer/2022050814/5b03ba8f7f8b9a6c0b8cc495/html5/thumbnails/7.jpg)
Window Functions for FIR Filter Design
Hamming Window.win=window(’hm’,n)
Kaiser Window.
win=window(’kr’,n,alpha)
Chebyshev Window.win=window(’ch’,n,par)
Manas Das, IITB Filter Design Using Scilab
![Page 8: Filter Design Using Scilab In this presentation we have learnt: Different windowing techniques How to design linear phase FIR filter using wfir() How to design linear phase FIR filter](https://reader034.vdocuments.us/reader034/viewer/2022050814/5b03ba8f7f8b9a6c0b8cc495/html5/thumbnails/8.jpg)
Window Functions for FIR Filter Design
Hamming Window.win=window(’hm’,n)
Kaiser Window.win=window(’kr’,n,alpha)
Chebyshev Window.
win=window(’ch’,n,par)
Manas Das, IITB Filter Design Using Scilab
![Page 9: Filter Design Using Scilab In this presentation we have learnt: Different windowing techniques How to design linear phase FIR filter using wfir() How to design linear phase FIR filter](https://reader034.vdocuments.us/reader034/viewer/2022050814/5b03ba8f7f8b9a6c0b8cc495/html5/thumbnails/9.jpg)
Window Functions for FIR Filter Design
Hamming Window.win=window(’hm’,n)
Kaiser Window.win=window(’kr’,n,alpha)
Chebyshev Window.win=window(’ch’,n,par)
Manas Das, IITB Filter Design Using Scilab
![Page 10: Filter Design Using Scilab In this presentation we have learnt: Different windowing techniques How to design linear phase FIR filter using wfir() How to design linear phase FIR filter](https://reader034.vdocuments.us/reader034/viewer/2022050814/5b03ba8f7f8b9a6c0b8cc495/html5/thumbnails/10.jpg)
Window based Linear Phase FIR filter
Calling Sequence[wft,wfm,fr]=wfir(ftype,forder,cfreq,wtype,fpar)Arguments
ftype:’lp’,’hp’,’bp’,’sb’
wtype:’re’,’tr’,’hm’,’hn’,’kr’,’ch’
cfreq:2-vector of cutoff frequencies
fpar:2-vector of window parameters
wft:time domain filter coefficients
wfm:frequency domain filter response on the gridfr
fr:frequency grid
Manas Das, IITB Filter Design Using Scilab
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Window based Linear Phase FIR filter
Calling Sequence[wft,wfm,fr]=wfir(ftype,forder,cfreq,wtype,fpar)Arguments
ftype:’lp’,’hp’,’bp’,’sb’
wtype:’re’,’tr’,’hm’,’hn’,’kr’,’ch’
cfreq:2-vector of cutoff frequencies
fpar:2-vector of window parameters
wft:time domain filter coefficients
wfm:frequency domain filter response on the gridfr
fr:frequency grid
Manas Das, IITB Filter Design Using Scilab
![Page 12: Filter Design Using Scilab In this presentation we have learnt: Different windowing techniques How to design linear phase FIR filter using wfir() How to design linear phase FIR filter](https://reader034.vdocuments.us/reader034/viewer/2022050814/5b03ba8f7f8b9a6c0b8cc495/html5/thumbnails/12.jpg)
Window based Linear Phase FIR filter
Calling Sequence[wft,wfm,fr]=wfir(ftype,forder,cfreq,wtype,fpar)Arguments
ftype:’lp’,’hp’,’bp’,’sb’
wtype:’re’,’tr’,’hm’,’hn’,’kr’,’ch’
cfreq:2-vector of cutoff frequencies
fpar:2-vector of window parameters
wft:time domain filter coefficients
wfm:frequency domain filter response on the gridfr
fr:frequency grid
Manas Das, IITB Filter Design Using Scilab
![Page 13: Filter Design Using Scilab In this presentation we have learnt: Different windowing techniques How to design linear phase FIR filter using wfir() How to design linear phase FIR filter](https://reader034.vdocuments.us/reader034/viewer/2022050814/5b03ba8f7f8b9a6c0b8cc495/html5/thumbnails/13.jpg)
Window based Linear Phase FIR filter
Calling Sequence[wft,wfm,fr]=wfir(ftype,forder,cfreq,wtype,fpar)Arguments
ftype:’lp’,’hp’,’bp’,’sb’
wtype:’re’,’tr’,’hm’,’hn’,’kr’,’ch’
cfreq:2-vector of cutoff frequencies
fpar:2-vector of window parameters
wft:time domain filter coefficients
wfm:frequency domain filter response on the gridfr
fr:frequency grid
Manas Das, IITB Filter Design Using Scilab
![Page 14: Filter Design Using Scilab In this presentation we have learnt: Different windowing techniques How to design linear phase FIR filter using wfir() How to design linear phase FIR filter](https://reader034.vdocuments.us/reader034/viewer/2022050814/5b03ba8f7f8b9a6c0b8cc495/html5/thumbnails/14.jpg)
Window based Linear Phase FIR filter
Calling Sequence[wft,wfm,fr]=wfir(ftype,forder,cfreq,wtype,fpar)Arguments
ftype:’lp’,’hp’,’bp’,’sb’
wtype:’re’,’tr’,’hm’,’hn’,’kr’,’ch’
cfreq:2-vector of cutoff frequencies
fpar:2-vector of window parameters
wft:time domain filter coefficients
wfm:frequency domain filter response on the gridfr
fr:frequency grid
Manas Das, IITB Filter Design Using Scilab
![Page 15: Filter Design Using Scilab In this presentation we have learnt: Different windowing techniques How to design linear phase FIR filter using wfir() How to design linear phase FIR filter](https://reader034.vdocuments.us/reader034/viewer/2022050814/5b03ba8f7f8b9a6c0b8cc495/html5/thumbnails/15.jpg)
Window based Linear Phase FIR filter
Calling Sequence[wft,wfm,fr]=wfir(ftype,forder,cfreq,wtype,fpar)Arguments
ftype:’lp’,’hp’,’bp’,’sb’
wtype:’re’,’tr’,’hm’,’hn’,’kr’,’ch’
cfreq:2-vector of cutoff frequencies
fpar:2-vector of window parameters
wft:time domain filter coefficients
wfm:frequency domain filter response on the gridfr
fr:frequency grid
Manas Das, IITB Filter Design Using Scilab
![Page 16: Filter Design Using Scilab In this presentation we have learnt: Different windowing techniques How to design linear phase FIR filter using wfir() How to design linear phase FIR filter](https://reader034.vdocuments.us/reader034/viewer/2022050814/5b03ba8f7f8b9a6c0b8cc495/html5/thumbnails/16.jpg)
Window based Linear Phase FIR filter
Calling Sequence[wft,wfm,fr]=wfir(ftype,forder,cfreq,wtype,fpar)Arguments
ftype:’lp’,’hp’,’bp’,’sb’
wtype:’re’,’tr’,’hm’,’hn’,’kr’,’ch’
cfreq:2-vector of cutoff frequencies
fpar:2-vector of window parameters
wft:time domain filter coefficients
wfm:frequency domain filter response on the gridfr
fr:frequency grid
Manas Das, IITB Filter Design Using Scilab
![Page 17: Filter Design Using Scilab In this presentation we have learnt: Different windowing techniques How to design linear phase FIR filter using wfir() How to design linear phase FIR filter](https://reader034.vdocuments.us/reader034/viewer/2022050814/5b03ba8f7f8b9a6c0b8cc495/html5/thumbnails/17.jpg)
Equiripple FIR Filter Design
Calling Sequence[hn]=eqfir(nf,bedge,des,wate)Arguments
nf:number of output filter points desired
bedge:Mx2 matrix giving a pair of edges for eachband
des:M-vector giving desired magnitude for eachband
wate:M-vector giving relative weight of error ineach band
hn:output of linear-phase FIR filter coefficients
Manas Das, IITB Filter Design Using Scilab
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Equiripple FIR Filter Design
Calling Sequence[hn]=eqfir(nf,bedge,des,wate)Arguments
nf:number of output filter points desired
bedge:Mx2 matrix giving a pair of edges for eachband
des:M-vector giving desired magnitude for eachband
wate:M-vector giving relative weight of error ineach band
hn:output of linear-phase FIR filter coefficients
Manas Das, IITB Filter Design Using Scilab
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Equiripple FIR Filter Design
Calling Sequence[hn]=eqfir(nf,bedge,des,wate)Arguments
nf:number of output filter points desired
bedge:Mx2 matrix giving a pair of edges for eachband
des:M-vector giving desired magnitude for eachband
wate:M-vector giving relative weight of error ineach band
hn:output of linear-phase FIR filter coefficients
Manas Das, IITB Filter Design Using Scilab
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Equiripple FIR Filter Design
Calling Sequence[hn]=eqfir(nf,bedge,des,wate)Arguments
nf:number of output filter points desired
bedge:Mx2 matrix giving a pair of edges for eachband
des:M-vector giving desired magnitude for eachband
wate:M-vector giving relative weight of error ineach band
hn:output of linear-phase FIR filter coefficients
Manas Das, IITB Filter Design Using Scilab
![Page 21: Filter Design Using Scilab In this presentation we have learnt: Different windowing techniques How to design linear phase FIR filter using wfir() How to design linear phase FIR filter](https://reader034.vdocuments.us/reader034/viewer/2022050814/5b03ba8f7f8b9a6c0b8cc495/html5/thumbnails/21.jpg)
Equiripple FIR Filter Design
Calling Sequence[hn]=eqfir(nf,bedge,des,wate)Arguments
nf:number of output filter points desired
bedge:Mx2 matrix giving a pair of edges for eachband
des:M-vector giving desired magnitude for eachband
wate:M-vector giving relative weight of error ineach band
hn:output of linear-phase FIR filter coefficients
Manas Das, IITB Filter Design Using Scilab
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IIR Digital filter
Calling Sequence[hz]=iir(n,ftype,fdesign,frq,delta)Arguments
n:the filter order
ftype:’lp’,’hp’,’bp’,’sb’
fdesign:’butt’,’cheb1’,’cheb2’ and ’ellip’
frq:2-vector of discrete cut-off frequencies
delta:2-vector of error values
Manas Das, IITB Filter Design Using Scilab
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IIR Digital filter
Calling Sequence[hz]=iir(n,ftype,fdesign,frq,delta)Arguments
n:the filter order
ftype:’lp’,’hp’,’bp’,’sb’
fdesign:’butt’,’cheb1’,’cheb2’ and ’ellip’
frq:2-vector of discrete cut-off frequencies
delta:2-vector of error values
Manas Das, IITB Filter Design Using Scilab
![Page 24: Filter Design Using Scilab In this presentation we have learnt: Different windowing techniques How to design linear phase FIR filter using wfir() How to design linear phase FIR filter](https://reader034.vdocuments.us/reader034/viewer/2022050814/5b03ba8f7f8b9a6c0b8cc495/html5/thumbnails/24.jpg)
IIR Digital filter
Calling Sequence[hz]=iir(n,ftype,fdesign,frq,delta)Arguments
n:the filter order
ftype:’lp’,’hp’,’bp’,’sb’
fdesign:’butt’,’cheb1’,’cheb2’ and ’ellip’
frq:2-vector of discrete cut-off frequencies
delta:2-vector of error values
Manas Das, IITB Filter Design Using Scilab
![Page 25: Filter Design Using Scilab In this presentation we have learnt: Different windowing techniques How to design linear phase FIR filter using wfir() How to design linear phase FIR filter](https://reader034.vdocuments.us/reader034/viewer/2022050814/5b03ba8f7f8b9a6c0b8cc495/html5/thumbnails/25.jpg)
IIR Digital filter
Calling Sequence[hz]=iir(n,ftype,fdesign,frq,delta)Arguments
n:the filter order
ftype:’lp’,’hp’,’bp’,’sb’
fdesign:’butt’,’cheb1’,’cheb2’ and ’ellip’
frq:2-vector of discrete cut-off frequencies
delta:2-vector of error values
Manas Das, IITB Filter Design Using Scilab
![Page 26: Filter Design Using Scilab In this presentation we have learnt: Different windowing techniques How to design linear phase FIR filter using wfir() How to design linear phase FIR filter](https://reader034.vdocuments.us/reader034/viewer/2022050814/5b03ba8f7f8b9a6c0b8cc495/html5/thumbnails/26.jpg)
IIR Digital filter
Calling Sequence[hz]=iir(n,ftype,fdesign,frq,delta)Arguments
n:the filter order
ftype:’lp’,’hp’,’bp’,’sb’
fdesign:’butt’,’cheb1’,’cheb2’ and ’ellip’
frq:2-vector of discrete cut-off frequencies
delta:2-vector of error values
Manas Das, IITB Filter Design Using Scilab
![Page 27: Filter Design Using Scilab In this presentation we have learnt: Different windowing techniques How to design linear phase FIR filter using wfir() How to design linear phase FIR filter](https://reader034.vdocuments.us/reader034/viewer/2022050814/5b03ba8f7f8b9a6c0b8cc495/html5/thumbnails/27.jpg)
IIR Digital filter
Calling Sequence[hz]=iir(n,ftype,fdesign,frq,delta)Arguments
n:the filter order
ftype:’lp’,’hp’,’bp’,’sb’
fdesign:’butt’,’cheb1’,’cheb2’ and ’ellip’
frq:2-vector of discrete cut-off frequencies
delta:2-vector of error values
Manas Das, IITB Filter Design Using Scilab
![Page 28: Filter Design Using Scilab In this presentation we have learnt: Different windowing techniques How to design linear phase FIR filter using wfir() How to design linear phase FIR filter](https://reader034.vdocuments.us/reader034/viewer/2022050814/5b03ba8f7f8b9a6c0b8cc495/html5/thumbnails/28.jpg)
Filter
To design filter of any magnitudeFunction- remezbCalling Sequencean=remezb(nc,fg,ds,wt)
nc:number of cosine functions
fg:dense grid of frequency
ds:derived magnitude values on this grid
wt:error weighting vectors
an:filter coeffficients
Manas Das, IITB Filter Design Using Scilab
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Filter
Filtering of discrete signals by flts functionFunction- fltsCalling Sequencey,[x]=flts(u,sl[,x0])
u:the data to be filtered
x0:initial state vector/matrix giving necessaty i/p-o/p.Itallows for filtering of length signals
x:optimal variable which gives the state sequence.
Manas Das, IITB Filter Design Using Scilab
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Summary
In this presentation we have learnt:
Different windowing techniques
How to design linear phase FIR filter usingwfir()
How to design linear phase FIR filter usingeqfir()
How to design IIR filter using iir()
How to design filter of any magnitude usingremezb()
How to filter discrete signals using flts()
Manas Das, IITB Filter Design Using Scilab
![Page 31: Filter Design Using Scilab In this presentation we have learnt: Different windowing techniques How to design linear phase FIR filter using wfir() How to design linear phase FIR filter](https://reader034.vdocuments.us/reader034/viewer/2022050814/5b03ba8f7f8b9a6c0b8cc495/html5/thumbnails/31.jpg)
Summary
In this presentation we have learnt:
Different windowing techniques
How to design linear phase FIR filter usingwfir()
How to design linear phase FIR filter usingeqfir()
How to design IIR filter using iir()
How to design filter of any magnitude usingremezb()
How to filter discrete signals using flts()
Manas Das, IITB Filter Design Using Scilab
![Page 32: Filter Design Using Scilab In this presentation we have learnt: Different windowing techniques How to design linear phase FIR filter using wfir() How to design linear phase FIR filter](https://reader034.vdocuments.us/reader034/viewer/2022050814/5b03ba8f7f8b9a6c0b8cc495/html5/thumbnails/32.jpg)
Summary
In this presentation we have learnt:
Different windowing techniques
How to design linear phase FIR filter usingwfir()
How to design linear phase FIR filter usingeqfir()
How to design IIR filter using iir()
How to design filter of any magnitude usingremezb()
How to filter discrete signals using flts()
Manas Das, IITB Filter Design Using Scilab
![Page 33: Filter Design Using Scilab In this presentation we have learnt: Different windowing techniques How to design linear phase FIR filter using wfir() How to design linear phase FIR filter](https://reader034.vdocuments.us/reader034/viewer/2022050814/5b03ba8f7f8b9a6c0b8cc495/html5/thumbnails/33.jpg)
Summary
In this presentation we have learnt:
Different windowing techniques
How to design linear phase FIR filter usingwfir()
How to design linear phase FIR filter usingeqfir()
How to design IIR filter using iir()
How to design filter of any magnitude usingremezb()
How to filter discrete signals using flts()
Manas Das, IITB Filter Design Using Scilab
![Page 34: Filter Design Using Scilab In this presentation we have learnt: Different windowing techniques How to design linear phase FIR filter using wfir() How to design linear phase FIR filter](https://reader034.vdocuments.us/reader034/viewer/2022050814/5b03ba8f7f8b9a6c0b8cc495/html5/thumbnails/34.jpg)
Summary
In this presentation we have learnt:
Different windowing techniques
How to design linear phase FIR filter usingwfir()
How to design linear phase FIR filter usingeqfir()
How to design IIR filter using iir()
How to design filter of any magnitude usingremezb()
How to filter discrete signals using flts()
Manas Das, IITB Filter Design Using Scilab
![Page 35: Filter Design Using Scilab In this presentation we have learnt: Different windowing techniques How to design linear phase FIR filter using wfir() How to design linear phase FIR filter](https://reader034.vdocuments.us/reader034/viewer/2022050814/5b03ba8f7f8b9a6c0b8cc495/html5/thumbnails/35.jpg)
Summary
In this presentation we have learnt:
Different windowing techniques
How to design linear phase FIR filter usingwfir()
How to design linear phase FIR filter usingeqfir()
How to design IIR filter using iir()
How to design filter of any magnitude usingremezb()
How to filter discrete signals using flts()
Manas Das, IITB Filter Design Using Scilab
![Page 36: Filter Design Using Scilab In this presentation we have learnt: Different windowing techniques How to design linear phase FIR filter using wfir() How to design linear phase FIR filter](https://reader034.vdocuments.us/reader034/viewer/2022050814/5b03ba8f7f8b9a6c0b8cc495/html5/thumbnails/36.jpg)
Textbook Companion
You already know Textbook Companion Project
There are books on Signal Processing using Scilab under thisproject
Refer to the link: http://www.scilab.in/Completed Books
Manas Das, IITB Filter Design Using Scilab
![Page 37: Filter Design Using Scilab In this presentation we have learnt: Different windowing techniques How to design linear phase FIR filter using wfir() How to design linear phase FIR filter](https://reader034.vdocuments.us/reader034/viewer/2022050814/5b03ba8f7f8b9a6c0b8cc495/html5/thumbnails/37.jpg)
Textbook Companion
You already know Textbook Companion Project
There are books on Signal Processing using Scilab under thisproject
Refer to the link: http://www.scilab.in/Completed Books
Manas Das, IITB Filter Design Using Scilab