FIR FILTER

To design and implement a low pass FIR filter using windowing technique.

APPARATUS: -

1. TMS 320C5416 DSK.

2. USB Cable.

3. Power Cord

4. 5V Adapter.

THEORY: -

A Finite Impulse Response (FIR) filter is a discrete linear time-invariant system whose output is based on the weighted summation of a finite number of past inputs. An FIR transversal filter structure can be obtained directly from the equation for discrete-time convolution.

In this equation, x(k) and y(n) represent the input to and output from the filter at time n. h(n-k) is the transversal filter coefficients at time n. These coefficients are generated by using FDS (Filter Design Software or Digital filter design package).

**Windows:**

#include <stdio.h>

#include <math.h>

#define pi 3.1415

int N,n;

float h[64];

void main()

{

printf("enter the number of samples\n");

scanf("%d",&N);

for(n=0;n<(N-1);n++)

{

h[n]=0.0;

h[n]= 0.42+0.5*cos(2*pi*n/(N-1))+0.08*cos(4*pi*n/(N-1));

printf("h[%d]=%f\n",n,h[n]);

}

}

**RESULT:**

**PROGRAM: -**

#include <stdio.h>

#include <math.h>

#define pi 3.1415

int N,n;

float h[64];

void main()

{

printf("enter the number of samples\n");

scanf("%d",&N);

for(n=0;n<(N-1);n++)

{

h[n]=0.0;

h[n]=1-(4*n/(float)(n-1)) ;

printf("h[%d]=%f\n",n,h[n]);

}

}

Wave form:-

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