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- generating white gaussian noise in matlab using two different functions
wgn() is specifically meant to create a white noise with a predefined power levels while randn() is meant to generate normally distributed random numbers WITHOUT specifying the power You will have to scale the values generated from randn() to meet the desired noise power level
- parameter estimation - Cramer-Rao Lower Bound of sinusoid in WGN . . .
From Steven M Kay's book fundamentals of statistical signal processing, he derives in chapter 3 the CRLB for a single sinusoidal frequency estimation in WGN when the amplitude and phase are known (example 3 5) and the CRLB for a single sinusoidal frequency, amplitude and phase parameters when all three are unknown (example 3 14)
- How to calculate SNR with White gaussian noise
1 -From : An Introduction to Signals and Noise in Electrical Communications Author : Bruce Carlson Search for much cheaper copies readily available online
- noise - Gaussian signal generation - Signal Processing Stack Exchange
Generate WGN-like-signal which is centered around a set dBm value Treat that signal like it was a frequency domain representation of an unknown X time-domain signal Do some math to get he unit back into Volts Hz from dBm Hz (using reference impedance)
- power spectral density - Variance of White Gaussian Noise - Signal . . .
But you say " One should not, however, infer that the random variables in the WGN process are themselves Gaussian random variables" I did not fully understand this If the random variables aren't Gaussian (and this seems reasonable to me since they have infinite variance), why is the process named Gaussian? $\endgroup$ –
- What is DC level in white gaussian noise? - Signal Processing Stack . . .
Am studying unbiased estimators and keep seeing this term "DC Level" What is the expansion of DC and what is a DC Level? Even the Wikipedia page on WGN says nothing about it
- Does PSD (dBm Hz) of white noise depend on sampling rate?
Follow Up with Intuition Related to Zero PSD for WGN With Finite Variance MBaz and RBJ have rightfully questioned my reasoning of a zero power spectral density in the comments, suggesting that the variance would increase for a constant power spectral density as the bandwidth increases
- What can we deduce about variance when we are given the noise spectral . . .
Since the input process has zero mean, so does the output process have zero mean, that is, all the random variables constituting the process have zero mean For the case of WGN, the filter output is a strictly stationary Gaussian process, meaning that all the random variables are Gaussian random variables As a special case of all this, if the
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