Desiging a very simple filter (Very Basic Sort of)???

I want to generate a very simple Filter which removes the noise at-least little bit from a signal (Sinusoidal of 100Hz Frequency).

I don't want to use the complex filter's.

this is my Signal

fSampling = 10000;           %Sampling Frequency
tSampling = 1/fSampling;    %Sampling Time
L = 10000;                   %Length of Signal
t = (0:L-1)*tSampling;      %Time Vector
F = 100;                    %Frequency of Signal

%%Signal without noise
xsig = sin(2*pi*F*t);

I calculate its Fourier Transform as Follow:-

NFFT = 2^nextpow2(L);
Xsig = fft(xsig,NFFT)/L;
f1 = fSampling/2*(linspace(0,1,NFFT/2+1));
plot(f1,2*abs(Xsig(1:NFFT/2+1)),'r');
grid on
axis([-50 500 0 1.1])
title('\itSingle-Sided Amplitude Spectrum of xsig(t)')
xlabel('\itFrequency (Hz) \rightarrow')
ylabel('|Xsig(f)| \rightarrow');

Then i add a Little bit of Noise into it as follow:-

xnoise = xsig + 0.45*randn(size(t));

Then calculates its Fourier Transform again...

Now i want to remove the noise from this signal and want to retrieve a pure sinusoidal signal..

Pls Some Body help me....

Answer 1

[Star Strider]

A bandpass filter would work. Be sure to use [z, p, k] and SOS syntax.

Answer 2

[Arun Sharma]

Thanks for your help... Can you pls give me an example to do so...

I searched on internet and MATLAB help got some advance topic....

pls tell me how to make a Bandpass filter...

Thanks in Advance

Answer 3

[Arun Sharma]

Is There anyone who can tell me.. how to make a simple Bandpass Filter..

Pls help its very urgent