Generating an example noisy sine wave signal

I want to generate a noisy sine wave signal with fs = 16000Hz and performs sampling over the time period from 0 secs to 0.02 secs, for 321 samples in total .

fs = 16000; % sampling frequency

t = 0:1/fs:0.02; % start : time step : end

s1 = 1.00 * sin(2*pi*150 * t); % desired 150 Hz sine wave

s2 = 0.05 * sin(2*pi*3304 * t); % interfering noise (3304 Hz)

s3 = 0.02 * sin(2*pi*4000 * t); % more interfering noise (4000 Hz)

s4 = 0.04 * sin(2*pi*5722 * t); % more interfering noise (5722 Hz)

s5 = 0.07 * sin(2*pi*7302 * t); % more interfering noise (7302 Hz)

sigsum = s1 + s2 + s3 + s4 + s5; % final superposed noisy signal

I also want to use the plot command below to verifymy answer:

plot(t, sigsum)

Answer 1

[Star Strider]

Try this —

fs = 16000;                       % sampling frequency
t = 0:1/fs:0.02;                  % start : time step : end

sigsum = sum([1; 0.05; 0.02; 0.04; 0.07].*sin(2*pi*[150; 3304; 4000; 5722; 7320]*t));

figure
plot(t, sigsum)
grid
xlabel('t')
ylabel('s')

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