Questions tagged [white-noise]
White noise has constant power spectral density for all frequencies. Because there is no bandlimit to white noise, it has infinite overall power.
64 questions
0 votes
5 answers
157 views
Why isn't a Dirac pulse considered white noise?
It is probably a basic question, but why isn't a Dirac pulse considered white noise ? To be fair, I intuitively wouldn't consider it as such, but the defining characteristic of white noise is that the ...
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0 votes
0 answers
38 views
Estimating SNR from analytic fourier transform and variance
Consider a received digital signal composed by a transmitted signal plus AWGN at a double sided power spectral density of $N_0/2$. This signal is sampled at a given frequency $f_s$ and the transmitted ...
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0 votes
1 answer
59 views
How to compute SNR after splitting an RF channel into I and Q channels using a Mixer?
If I have a AWGN real channel given by : $$r_{RF}(t) = Acos(2\pi f_ct + \phi) + \eta(t)$$ Suppose, $\eta(t)$ is a WSS WGN process with 0 mean and $R_{\eta\eta}(\tau) = \sigma^2\delta(\tau)$ and $S_\...
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0 votes
1 answer
89 views
How does AWGN have infinite power? Or does it have infinite energy?
I am puzzled by this concept of additive white Gaussian noise having "infinite energy" or "infinite power", which is something that is often said (e.g. White Gaussian Noise ...
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0 votes
1 answer
72 views
ALU Saturation bit causing rand() internal function to saturate
Rand function randomness is getting affected when ALU saturation bit is enabled in ADSP-21594 Series DSP processor. My use case for rand function is to generate white noise. When in the case the ALU ...
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0 votes
0 answers
87 views
Can we take arg inside expectation of product of white noise STFT coefficients?
Let's say we have a signal $\left\{x[n]\right\}$ which is normally distributed white noise. That is, $\forall n_0$, $x[n_0]$ is a random variable that is normally distributed with mean $0$ and ...
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1 vote
0 answers
37 views
a problem about noise whitening
Recently,I have some problems in my research.In an oversampling system,I perform noise whitening based on cholesky decomposition，By multiplex whitening matrix W to both sides of y=Hx+n, in my ...
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2 votes
1 answer
65 views
Neural Network Encoder and Traditional Modulation
Does anybody understand how actually the neural network encoder works? The NN encoder replaces the physical modulation block. In a physical modulation block, the codeword is mapped to symbols, which ...
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2 votes
0 answers
130 views
questions about a whitening filter and matched filter
While studying John Barry's textbook, I encountered difficulties understanding the function of the whitening filter. In the figure above, the upper path illustrates a matched filter followed by a ...
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1 vote
1 answer
150 views
DVB-S2 PER performace
Looking at the DVB-S2 documentation, chapter 6, it defines for each mode, the ideal Es/No for which the Quasi Error Free (QEF) condition is achieved. The QEF condition is that the Packet Error Rate (...
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0 votes
2 answers
88 views
ENBW for non-white noise condition
The usual defininition of equivalent noise bandwidth (ENBW) seems to include a white-noise condition. However, say I know the noise spectra of my signal is distributed differently, say pink noise. ...
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1 vote
2 answers
123 views
Deriving the BER equations for BPSK; justification for noise variance of $\frac{N_0}{2}$
We model White Gaussian noise (having power $\sigma^2$) as a Gaussian process $n$, whereby for every interval $(t_0,~ t_0 + L)$ the integral $\int_{t_0}^{t_0 + L}n~dt$ is a Gaussian random variable ...
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0 votes
1 answer
111 views
Variance of pink noise derived from gaussian white noise of known variance
Say that we've sampled white noise from a 0-centered gaussian distribution with variance $\sigma^2$. We now derive pink noise by $1/f$ filtering. Will the resulting pink noise have a neat and simple ...
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0 votes
4 answers
524 views
Why use white noise over an impulse signal (or vice versa) to understand how a system would behave?
An impulse signal and white noise both have a flat spectrum. When they are passed into a system, the response will indicate how each frequency component will be modified by the system. Is there any ...
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1 vote
1 answer
189 views
Show that the impulse response of an LTI system can be determined by observing the output and inputting white noise
Problem Show that the impulse response of an LTI system can be determined by observing the output and inputting white noise. Attempt Let $x(t)$ be the input signal (white noise) and $y(t)$ be the ...
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