You are using an out of date browser. It may not display this or other websites correctly. You should upgrade or use an alternative browser. Thread starter JohnLai Start date Mar 27, Status Not open for further replies. JohnLai Junior Member level 3. Can anybody please explain? Thank you. FvM Super Moderator Staff member. Click to expand FvM said:.
It is - by definition. Finite power density multiply infinite bandwidth equals infinite power. But it's a purely theoretical construct. I will tell you about Gaussian White noise first- Take a microphone if you have one and don't speak anything. What you would see is some kind of noise. Now if you plot the histogram pdf of it what you would get is a Gaussian distribution.
Similarly if plot the frequency spectrum of that, you would get same value in all the frequencies. How can I manually without built-in functions generate each of the noise for an image using Python?
Which parameters do I need to consider? Now, regarding how to generate them. To create non white data you need to create some linear connection between samples. Namely, just mix few samples with linear weights. It is usually done by applying some kind of a filter on the data. The term comes from light, if you have all wavelengths of light present, the resulting light is white. Getting good quality randomness is rather difficult but for simple purposes, look at random , especailly random.
Stack Overflow for Teams — Collaborate and share knowledge with a private group. Create a free Team What is Teams? Collectives on Stack Overflow. Learn more. Asked 6 years ago. Active 4 years, 7 months ago. I recall that sometimes this is done by the manufacturer already and being given in the datasheet. Sign up to join this community. The best answers are voted up and rise to the top. Stack Overflow for Teams — Collaborate and share knowledge with a private group. Create a free Team What is Teams?
Learn more. Is Gaussian noise equal to white noise? Ask Question. Asked 1 year, 5 months ago. Active 1 year, 3 months ago. Viewed 2k times. Can we somehow relate the frequency distribution to the amplitude distribution? Manumerous Manumerous 11 11 bronze badges. So does that mean the same misconception is at play there? Add a comment. Active Oldest Votes. Dave Tweed Dave Tweed k 16 16 gold badges silver badges bronze badges. For all other distributions, lack of correlation does not imply independence.
Geiger counter clicks have a white spectrum up to a cutoff determined by the width of the pulses, but they don't have a Gaussian amplitude distribution. Hint: Cauchy is a non-Gaussian stable distribution. In any case, I am not suggesting a rigorous formulation here, just saying that in practice white noise often becomes Gaussian at long time scales low frequency components , so the concepts aren't completely unrelated. Although the variance of a Cauchy distribution doesn't converge, a finite collection of pulses with Cauchy distributed amplitudes will always have finite energy.
Long-tailed distributions of this sort are quite common in physical situations. Mandelbrot became famous by pointing this out.
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