Minal: Created page with ''''Title of script''': '''Signal processing Using Scilab''' '''Author: Manas''' '''Keywords::Signal''' {| style="border-spacing:0;" ! Visual Cue ! N…'

2012-12-11T12:46:57Z

Created page with ''''Title of script''': '''Signal processing Using Scilab''' '''Author: Manas''' '''Keywords::Signal''' {| style="border-spacing:0;" ! <center>Visual Cue</center> ! <center>N…'

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'''Title of script''': '''Signal processing Using Scilab'''

'''Author: Manas'''

'''Keywords::Signal'''

{| style="border-spacing:0;"
! <center>Visual Cue</center>
! <center>Narration</center>

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| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Slide 1
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| Dear Friends,

Welcome to the spoken tutorial on “Signal Processing using Scilab”

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| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Slide 2
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| Before starting with this tutorial, first we will see the Knowledge prerequisite and software requirement to use this tutorial.

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| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Slide 2 & 3
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| Ubuntu 11.04 is the operating system used in this tutorial with Scilab 5.3.3

version installed.

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| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"|
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| Scilab can be installed on Ubuntu OS using the Synaptic Package Manager.

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| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"|
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| To install Scilab, please refer to the tutorial 'How to install Scilab in Ubuntu using Synaptic Package Manager' available on spoken-tutorial.org

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| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Slide 4
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| Prerequisite:Listen to basic Level tutorials in

Scilab

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| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Slide 5
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| What is a Signal?

A '''signal''' is any time-varying or spatial-varying quantity.

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| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Slide 6
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| Objective of this tutorial-

In this tutorial i will show the operations on or analysis of signals, in either discrete or continuous time domain.

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| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Slide 7
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| In this slide i will be describing Signal Basics

* Plotting continuous and discrete sine wave.
* Plotting step function.
* Plotting ramp function.

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| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Demonstrate
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| Let us start first plotting continuous sine wave. This can be done as follows:

t = 0:0.1:2*%pi;

x = sin(t);

plot2d(t,x)

|-
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Demonstrate
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| A discrete sine wave can be plotted as :

plot2d3('gnn',t,x)

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| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Demonstrate
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| I have written the codes to generate step and ramp signal in the file signals.sce. I will execute it and show how the signals are being generated.

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| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Slide 8
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| In this slide let us learn Convolution

i.e. Linear convolution of two vectors by using the inbuilt command convol()

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| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Demonstrate
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| <nowiki>First step is to take an discrete input signal x=[1,2 ,3,4]</nowiki>

<nowiki>Second step is to take an another input signal h=[1,1,1]</nowiki>

And the the third step is to apply the convolution using convol()

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| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Slide 9
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| In this slide we will learn Discrete fourier transform for a discrete sequence by using the inbuilt command dft().

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| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Demonstrate
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| Calling sequence to calculate DFT is

<nowiki>[xf]=dft(x,flag); Where x is the input vector and flag value is -1 for DFT.</nowiki>

<nowiki>Lets take the input vector is x=[1,2,3,4]</nowiki>

The output dft will be calculated by xf=dft(x,-1)

xf=

10.

- 2. + 2.i

- 2. - 9.797D-16i

- 2. - 2.i

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| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Slide 10
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| In this slide i will be showing how to calculate inverse discrete fourier transform. This can be found by using the same inbuilt command dft().

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| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Demonstrate
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| Here the calling sequence for this function is defined.

<nowiki>[x]=dft(xf,flag);</nowiki>

Here the flag value is 1 for idft.

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| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Demonstrate
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| <nowiki>Let the input sequence xf = [10,-2+2*%i,-2,-2-2*%i]</nowiki>

The output is given by x = dft(y,1)

x <nowiki>=</nowiki>

1.

2. + 5.551D-17i

3. - 1.225D-16i

4. - 5.551D-16i

|-
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Slide 11
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| In this slide lets have a look how to calculate discrete fourier transform and inverse discrete fourier transform by using the inbuilt function fft().

|-
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Demonstrate
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| I will be calculating dft using fft:

<nowiki>Let the input vector is x= [1,2,3,4];</nowiki>

The output is given by y = fft(x,-1)

y <nowiki>=</nowiki>

10. - 2. + 2.i - 2. - 2. - 2.i

|-
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Demonstrate
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| I will be calculating idft using fft:

<nowiki>y=[</nowiki>10,-2+2*%i,-2,-2-2*%i];

x = fft(y,1)

x <nowiki>=</nowiki>

1. 2. 3. 4.

|-
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Slide 12
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| In this slide we will be using corr() to find the correlation between two vectors.

|-
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Demonstrate
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| Lets take two input signals are

<nowiki>x1 = [1,2,3,4]; and x2 = [1,3,1,5];</nowiki>

The cross correlation can be found by

Rx1x2 = corr(x1,x2,4)

Rx1x2 <nowiki>=</nowiki>

1.25 0.3125 0.25 - 0.9375

|-
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Slide 13
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| In this slide let us show Sampling of a given signal using intdec ()

|-
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Demonstrate
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| The calling sequence for sampling is

<nowiki>[y]=intdec(x,lom)</nowiki>

I have written the code in sampling.sce and will execute it by clicking on the file.

|-
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"|
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| I will summarize the things we learnt in this tutorial.

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| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Slide 14
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| In this tutorial we learnt

|-
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Slide 14
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| Signal basics and how to plot continuous and discrete sine wave,step and ramp signal.

|-
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Slide 15
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| Linear convolution of two vectors by using the inbuilt command convol()

|-
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Slide 16
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| Discrete fourier transform and inverse fourier transform for a discrete sequence by using the inbuilt command dft().

|-
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Slide 17
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| FFT by fft()

|-
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Slide 18
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| Correlation between two signals by using inbuilt command corr().

|-
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Slide 19
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| Sampling of a given signal using intdec().

|-
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Slide 20
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| Spoken Tutorial is a part of the

Talk to a Teacher project

|-
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"|
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| It is supported by the National Mission on

Education through ICT (NMEICT),

MHRD, Government of India

|-
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"|
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| More information on this mission is

available at

http://spoken-tutorial.org/NMEICT-Intro

|-
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Slide 21,22 & 23
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| About the Spoken Tutorial Project

* The video available at, [http://spoken-tutorial.org/ http://spoken-tutorial.org] /What_is_a_Spoken Tutorial
* Summarises the Spoken Tutorial project.

* If you do not have good bandwidth, you can download

and watch it.

|-
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Slide 24,25 & 26
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| Acknowledgement

* We conduct workshops using spoken tutorials.
* We also give certificates to those who pass an online test.
* Please contact us for more details. We conduct workshops using spoken tutorials.
* We also give certificates to those who pass an online test.
* Please contact us for more details.

|-
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Slide 27,28 & 29
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| Acknowledgement

* This project is co-ordinated by, http://spoken-tutorial.org
* More information on the same is available at,
* http://spoken-tutorial.org /NMEICT-Intro

|-
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"| Slide 30,31 & 32
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| * Thanks for joining.

|-
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"|
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| Hope you found this Spoken Tutorial useful.

|-
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"|
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| This script has been contributed by Manas Das.

This is Anuradha Amrutkar from IIT Bombay, signing off

|-
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:none;padding:0.097cm;"|
| style="border-top:none;border-bottom:0.035cm solid #000000;border-left:0.035cm solid #000000;border-right:0.035cm solid #000000;padding:0.097cm;"| Thanks for joining us,Good Bye

|}

Signal-Processing - Revision history

Minal: Created page with ''''Title of script''': '''Signal processing Using Scilab''' '''Author: Manas''' '''Keywords::Signal''' {| style="border-spacing:0;" ! Visual Cue ! N…'