# Magnitude response of Lowpass FIR filter (Matlab2009a)

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#### Naveed Ahmed

##### Member level 4
Hi,

I have written a test program in matlab for lowpass fir, when i m plotting its magnitude response after fft, it seems to be a high pass filter. Why its doing so??
My code is as follow:

N=50; %Filter order
Length=N+1; %length
n0=N/2; %delay parameter
n=0:1:N;
fc_l=1/8; %Cut off frequency for the low pass filter
Wc_l=2*pi*fc_l;
%===================LOWPASS FIR FILTER=====
h_lp=sin(Wc_l*(n-n0)) ./(pi*(n-n0)); %Impulse response of Low Pass FIR filter For n-n0!=0
h_lp(n0+1)=(Wc_l/pi) %Imp response of Low Pass FIR filter For n=n0 or n-n=0
F=fft(h_lp,51);
X=real(F);
Y=imag(F);
[th,Mag]=cart2pol(X,Y);
plot(0:50,Mag)

Thanks,

naveed

#### koolariz

##### Newbie level 1
i think what you have there is band-stop.. i might be wrong..

anyway.. here is my FIR...
hope it works for you:
Code:
%my finite imp resp filter
clear all; clc; close all;

[b,a] = fir1(50, 1/8,'low'); % creating your filter
%fir1(order usually 30-50, cuttoff_normalized_freq, 'type high, low, band')

%this is to view your filter
figure(1);
freqz(b,a);

N=500; %number of points to calculate
fe=5000;
n=0:1:N-1;
x=sin(2*pi*200*n/fe)+sin(2*pi*1400*n/fe);
%one passes, one doesn't;

%now filtering the signal y with this FIR
figure(2);
y=filter(b,1,x);
subplot(2,1,1);
plot(n,x);grid;legend('input signal'); xlabel('time'); ylabel('ampl');
subplot(2,1,2);
plot(n,y); grid; legend('output filtered signal'); xlabel('time'); ylabel('ampl');

#### Naveed Ahmed

##### Member level 4
Hey dear,

Thanks, I tried freqz funtion, its showing correct response now!!

#### Tsourouflas

##### Newbie level 2
hey koolariz
handy code you provided there, thanks

i have a question though, i need to calculate a low pass filter of F(k) (being a vector), which has values from 0 to 1.
im supposed to calculate it with a fir lowpass filter using 50 taps, the value of each coefficient being 1/50.
this is all my information. do i miss something?

and im not quite sure how to do it.