[Elecraft] Monitor output...

Ian White GM3SEK gm3sek at ifwtech.co.uk
Tue May 17 04:20:04 EDT 2011


Jim Brown wrote:
>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:
>
>=   =   =   =   =   =
>
>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.
>
>=   =   =   =   =   =
>
>73, Jim K9YC
>______________________________________________________________


All of that is true in its proper context, but off-topic here because 
NONE of it is limiting the present performance of the P3.

At present the frequency and time resolution are limited only by the 
numbers of PIXELS in the small 480 x 272 display. There's a lot more 
performance waiting inside the P3, and the VGA display will show it to 
us.



-- 

73 from Ian GM3SEK
http://www.ifwtech.co.uk/g3sek


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