ALPHA BREATHING

Remember to breath, that is after all the life of all

EVOCATION AND INTRODUCTION

What do you infer from this picture ?

DESIGN OF LINEAR PHASE FIR FILTERS USING HAMMING AND

HANNING WINDOW TECHNIQUES

DESIGN STEPS

Design a linear phase high pass FIR filter using hamming window with a cutoff frequency of 0.8 π rad/sample and N=5.Link Sheet :Number of samples, N =5Centre of symmetry, α=(N-1)/2 = 2Ideal Frequency response of high pass filterFormula to find desired impulse response :

Formula to find finite impulse response : Hamming window function:

Formula to find Transfer Function:

deehnh njjdd

)(21)(

)().()( nwnhnh d

otherwise

NtonNnnwH

;0

10;1

2cos46.054.0)(

10;)()(1

0

NtonznhzHN

n

n

BRAIN ACTIVITY

Do the following actions

1 – clap once2 – clap twice3 – rise both hands4 – clap without sound

Do the following actions

1 – clap twice2 – clap without sound3 – rise both hands4 – clap once5 – do previous action

Activity 1:You have to draw 3 concentric circles with a line passing through their center without lifting hand.

Ans: Start the line complete one circle move inside circles along the line and then draw second circle. Like wise rest.

Activity 2 :

Can u make 120 with 5 zeros?

Answer : Factorial(factorial (0)+factorial(0)+factorial(0)+ factorial (0)+factorial (0)) = 120

Activity 3 :

You are given a cake; one of its corner is broken. How will u cut the rest intoTwo equal parts?

Ans: Slice the cake

Read the following Inverted words

solid mrofsnart

Read the inverted words

indebtedness should be prearranged for hardwork thesaurus

Solution:

Flow chart

Compute Inverse fourier transform to find hd(n)

Start

Multiply with window sequence w(n) to make it to finite impulse response for the

desired case.

Determine the transfer function H(z) by taking z transform

Stop

Problem to be solved by the students:Design a linear phase low pass FIR filter using hamming window with a cutoff frequency of 0.5π rad/sample and N=7.Link Sheet :Number of samples, N =7Centre of symmetry, α=(N-1)/2 = 3Ideal Frequency response of low pass filterFormula to find desired impulse response :

Formula to find finite impulse response : Hamming window function:

Formula to find Transfer Function:

deehnh njjdd

)(21)(

)().()( nwnhnh d

otherwise

NtonNnnwH

;0

10;1

2cos46.054.0)(

10;)()(1

0

NtonznhzHN

n

n

Rote Memory 1.Filter 2.Frequency 3.Number of samples 4.Response 5.Cutoff 6.impulse 7.window 8.hamming 9.linear phase 10.structure