300596 Advanced Signal Processing Project Report 2022

300596 Advanced Signal Processing
Project
TONE DETECTION

PROJECT REPORT
AIM:
The aim of the project is to implement the digital system for signal frequency estimation in noisy
environment, so the project can be determined as tome detection. The detect frequencies is being
shown by using the MATLAB software in this project.
SOFTWARE USED:
MATLAB 2019b.
WORKING SIMULATION:
TASK: A
(i) MATLAB programming:
Power spectrum Computation:
Fs = 10000;
t = (0:1/Fs:0.20)';
x = cos(2*pi*t*5000)+0.1*randn(size(t));
xTable = timetable(seconds(t),x);
[pxx,f] = pspectrum(xTable);
plot(f,pow2db(pxx))
grid on
xlabel('Frequency (Hz)')
ylabel('Power Spectrum (dB)')
title('Default Frequency Resolution')

pspectrum(xTable,'FrequencyResolution',25)

Two sided spectra:
fs = 10000;
t = 0:1/fs:1-1/fs;
x1 = chirp(t,0,t(end),5000,'quadratic',0,'convex') + ...
randn(size(t))/100;
x2 = exp(2j*pi*100*cos(2*pi*2*t)) + randn(size(t))/100;
fs = 10000;
t = 0:1/fs:1-1/fs;
x1 = chirp(t,0,t(end),5000,'quadratic',0,'convex') + ...
randn(size(t))/100;
x2 = exp(2j*pi*100*cos(2*pi*2*t)) + randn(size(t))/100;
[p,f,t] = pspectrum(x2,fs,'spectrogram');
waterfall(f,t,p');
xlabel('Frequency (Hz)')
ylabel('Time (seconds)')
wtf = gca;
wtf.XDir = 'reverse';
view([30 45])