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Paul, I'll try and get this right. Hopefully if I make a mistake Phil
H. the noise expert will correct me.
When you talk about white and Gaussian you are talking about two
different things.
White refers to how the power is distributed in frequency space. V^2/
Hz. White just means there's equal power in each Hz of the
spectrum.
I think you could make a white noise source out of a purely digital
signal.
Then Gaussian refers to how the power is distributed in voltage
space. Hmm, As I write this I realize that I don't know how to
measure the distribution... but anyway the digital noise source would
have an amplitude distribution that non-Gaussian, but still white.
The same will apply to 1/f noise. 1/f refers to the frequency
distribution. The amplitude distribution of 1/f noise will be source
dependent. Someone else wrote the same thing much earlier in this
thread.
** Pink noise is widely used in the world of audio - for many purposes
including room acoustics testing and speaker power handling tests. In all
cases the noise is both band limited and amplitude limited to a known "peak
to average" ratio.
For speaker power handling tests, the noise would be typically limited to a
50 to 500 Hz band and the peak to average ratio restricted to 6dB.
Typical devices sold as " Audio Pink Noise Generators " have peak to
average ratios of 12 to 15 dB - as do "pink noise" tracks recorded on many
test CDs.
.... Phil
I tried a similiar test, except I used a 10Hz fixed bandwidth on a
HP3581A wave analyzer. I wanted to verify the Johnson noise (no DC
current), and then apply a DC current, and see if the noise spectrum
changed as I varied the center frequency. In other words, when and
where is the noise pink or white.
I tried using wirewound, metal film, and the traditional carbon
film cheapy resistors (Philips 1/4W) under those conditions. The value
was 100Kohms. With no DC, they all produced the Johnson noise
predicted by v=sqtr(4KTBR), within about 20%. The spectrum was white,
ie, as I moved the center freq. from about 20Hz - 2KHz, there was
little change in amplitude. The measured bandwidth was kept at 10Hz.
With DC current (25V across 100K), the wirewounds showed no change,
the metal films increased noise very slightly.
With DC current the carbon film resistors put out about 10 times
the Johnson noise (at 100Hz center). I checked the noise vs. center
frequency, and by about 1-2KHz the noise dropped back to the thermal
noise. At 30Hz noise was about 25-30 times greater than thermal. When
I plotted the noise vs 1/f I got more or less a straight line (up to
about 1KHz), which confirmed the pink noise nature of the current
noise. These carbon resistors give a noise distribution of white noise
above a "break frequency" of 1-2 KHz, and 1/f noise (pink) below that.
Many electronic devices (ie.,MOSFETs, BJTs) have similiar
distributions, with white and pink areas.
The metal film resistors gave me 10-20% more total noise at 30Hz
than the Johnson noise. At frequencies above that, the total noise was
the same as the Johnson noise. I wouldn't be surprised if they to
would give 1/f noise, but the corner frequency would be 10-20 Hz, too
far down for my meter.
It could be the equipment, but the amplitude distribution did not
seem to be the same for the Johnson noise as the current noise. It's
hard to clearly define it, but the current noise seemed to have much
more pronounced dips and peaks than the thermal noise. The Johnson
noise swung the meter by about 10-20% (very roughly), and for the same
position on the scale, the current noise would vary 20-40%. Both had
the same "smoothing" on the analyzer, both at 10Hz bandwidth. This is
not an authoritative claim that the current noise is non-gaussian!
There may have been an additional noise effect (shot noise, moisture
tracks?) that was showing up.
Paul G.