Gaussian noise generation for a given SNR ?

1. How is Gaussian noise generated?
2. How do you calculate FFT from SNR?
3. How do you calculate the signal-to-noise ratio SNR?

How is Gaussian noise generated?

White Gaussian Noise can be generated using randn function in Matlab which generates random numbers that follow a Gaussian distribution. Similarly, rand function can be used to generate Uniform White Noise in Matlab that follows a uniform distribution.

How do you calculate FFT from SNR?

So, the SNR calculation should be like this: SNR = 10*log10(A) where, A = M_sig/(M_1+M_2+M_3+... +M_N) and N is the fft length. As the fact that M_sig/M_n is a constant regardless of the fft length N. So, we get the SNR which depends on the fft length N, i.e., the longer fft length, the worse SNR.

How do you calculate the signal-to-noise ratio SNR?

So, if your SNR measurements are already in decibel form, then you can subtract the noise quantity from the desired signal: SNR = S - N. This is because when you subtract logarithms, it is the equivalent of dividing normal numbers. Also, the difference in the numbers equals the SNR.