HOW CAN I CALCULATE THE SIGNAL TO NOISE RATIO(SNR) OF A CHIRP SIGNAL

Technical Source
2 min readDec 6, 2021

I have a signal which is comprised of 4 chirp signals and an additive noise with the same sampling frequency and size is generated now i need to calculate the SNR of the signal and noise . Also if I am correct to vary the signal to noise ratio is it ok if I vary the amplitudes of chirp signals and also the noise by multiplying it with a factor : ex:

noise = randn(size(t));
where t = 0:1e-4:1;

and to increase the noise

{new noise = 2*noise ;}

is this correct?? and to increase the amplitudes of the signal is this the way to change the signal to noise ratio:

y3 = 5* chirp(t,600,t1,800,'linear');

???????y4 = 3.5*chirp(t,900,t1,980,’linear’);

NOTE:-

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NR = Psignal / Pnoise = (Asignal / Anoise)^2

Where P is power, and A is amplitude. I would calculate the RMS amplitudes and use those in the above formula.

RMS means Root-Mean-Square. That is, you square your signal, calculate the mean of that, and take the square root. Just define a wee anonymous function for clarity:

RMS = @(x) sqrt(mean(x.^2));

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Technical Source

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