[Elecraft] Monitor output...

[Jim Brown]

On 5/16/2011 10:35 AM, Tony Estep wrote:
> True of electrons, and other subatomic particles as well. For those who wish
> to delve into quantum mechanics and find out what the uncertainty principle
> actually deals with:

If you read a bit further down in Wikipedia with respect to the 
uncertainty principle you will find the following:

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In the context of signal processing 
<http://en.wikipedia.org/wiki/Signal_processing>, particularly 
time--frequency analysis 
<http://en.wikipedia.org/wiki/Time%E2%80%93frequency_analysis>, 
uncertainty principles are referred to as the *Gabor limit*, after 
Dennis Gabor <http://en.wikipedia.org/wiki/Dennis_Gabor>, or sometimes 
the /Heisenberg--Gabor limit./ The basic result, which follows from 
Benedicks's theorem, below, is that a function cannot be both time 
limited <http://en.wikipedia.org/wiki/Time_limited> and band limited 
<http://en.wikipedia.org/wiki/Band_limited> (a function and its Fourier 
transform cannot both have bounded domain) -- see bandlimited versus 
timelimited 
<http://en.wikipedia.org/wiki/Time_limited#Bandlimited_versus_timelimited>. 
Stated alternatively, "one cannot simultaneously localize a signal 
(function) in both the time domain 
<http://en.wikipedia.org/wiki/Time_domain> (/f/) and frequency domain 
<http://en.wikipedia.org/wiki/Frequency_domain> (Fourier transform)". 
When applied to filters, the result is that one cannot achieve high 
temporal resolution and frequency resolution at the same time; a 
concrete example are the resolution issues of the short-time Fourier 
transform 
<http://en.wikipedia.org/wiki/Short-time_Fourier_transform#Resolution_issues> 
-- if one uses a wide window, one achieves good frequency resolution at 
the cost of temporal resolution, while a narrow window has the opposite 
trade-off.

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73, Jim K9YC