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How to add noise in the frequency domain?
I have a set of signals in frequency domain with f_min = 0.5GHz and f_max = 10.5GHz centered at f_c = 5.5GHz. These are simulated signals and are noisless (ideal data). Using the awgn function of MATLAB, I add noise of various SNR levels ( SNR = 10, 20, 30, 50 and 60dB) in frequency domain.
Can you add white noise to time domain?
Since the DFT is unitary transform, adding white noise at frequency domain is equivalent to adding noise at time domain. There 2 options here, are you looking for adding White Noise (Namely spread all over your frequency) or Band Limited (Colored) noise?
How to add noise to time domain in MATLAB?
Using the awgn function of MATLAB, I add noise of various SNR levels ( SNR = 10, 20, 30, 50 and 60dB) in frequency domain. I now need to add the same level of SNR to their time-domain counterparts.
How to add Whit noise to a signal?
Adding Whit Noise is really easy task given the signal as you have. All you need is to calculate your signal second moment at the frequency and add noise to the frequency bins such that the second moment of the noise creates your desired SNR.
How are phase noise and AM noise measured?
Measurements of phase noise and AM noise are performed in thefrequency domain using a spectrum analyzer that provides a frequency window following the detector (double- balanced mixer). Frequency stability can also be measured in the time domain with a gated counter that provides a rime window following the detector.
Which is the best way to estimate the amplitude of noise?
A quick but approximate way to estimate the amplitude of noise visually is the peak-to-peak range, which is the difference between the highest and the lowest values in a region where the signal is flat.
How is the amplitude of a sine wave conveyed?
The amplitude is conveyed by the modulus (magnitude) of the complex number. Here, the real part is 31 but the imaginary part is -10000. A sine wave of amplitude 2 yields two complex exponentials of magnitude 1.