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???
10/23/07 22:01
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#146105 - Quantisation
Responding to: ???'s previous message
Christoph Franck said:

(mainly: You do not have the input values for fractional samples).


Yes, thats true because my algorithm is time quantised, the filter loses meaning if one makes the filter faster than the actual samples comming in. The general idea, like all quantised systems(fp included), is to make the filter time constant(cr) much longer(say=>1secs) than the actual sample rate(0.35 Secs) so it appears continuous to the end user.

Christoph Franck said:

Still, why do you distinguish between charging and discharging ?
The following does the same job:


It's just the way I've done it, note Dti will always be positive in my code and therefore adc_last=adc_last+Dti....charging, whilst adc_last=adc_last-Dti.... discharging.
But you are correct, integers/longs and FP's carry sign, I will modify my code forthwith and save some bytes.
Actually, if memory serves me correctly, I was using it with a SAR adc which had a positive common mode voltage, so I was using word(+16bit) data types and biasing half way on a 16 bit word, thus I didn't have an automatic sign.


In_filter:
Dti = Adc_present - Adc_last ;test charging/discharging
Dti = Dti * 0.35 ; calibrate filter to secs
Dti = Dti / Fil_time ; fil_time=cr time (adjustable)
Adc_last = Adc_last + Dti ; form final output
Gosub Disp ; display it
Return

How would I adjust it as outlined in 1 and 2 using your difference equation?

Well, let's look at your equation:

Adc_out_new = Adc_out_old + (t_sample / fil_time) * (Adc_in_new - Adc_out_old)

It can be rearranged to:

Adc_out_new = ( 1 - (t_sample / fil_time) ) * Adc_out_old + (t_sample / fil_time) * Adc_in_new

... from which it is quite easy to see that a in my equation corresponds to (t_sample / fil_time) in yours.


You have got to admit, that makes more sense, for me at least anyway, thanks for that, Christoph.

Cheers for now
Jason




List of 64 messages in thread
TopicAuthorDate
ADC last digit stability            01/01/70 00:00      
   DVM            01/01/70 00:00      
      DVM's only 10 bits?            01/01/70 00:00      
         Frequency response            01/01/70 00:00      
            Typically twice or more the sampling frequency            01/01/70 00:00      
               Missing the point            01/01/70 00:00      
   You usually don\'t _want_ a stable last digit.            01/01/70 00:00      
      Result            01/01/70 00:00      
         Hm.            01/01/70 00:00      
      Averaging/DSP/FIR filters            01/01/70 00:00      
         Math lecture ?            01/01/70 00:00      
            Can't use average-too slow            01/01/70 00:00      
               Analysis            01/01/70 00:00      
               already stated            01/01/70 00:00      
               Derivation            01/01/70 00:00      
                  The nitty gritty stuff            01/01/70 00:00      
                     Simulate using a spreadsheet            01/01/70 00:00      
                        Hi Russ and thanks for that            01/01/70 00:00      
                           My spreadsheet vs. your spreadsheet            01/01/70 00:00      
                              Unit test !            01/01/70 00:00      
                     As I said...            01/01/70 00:00      
                        Calibration?            01/01/70 00:00      
                           Horsefeathers            01/01/70 00:00      
                              Longs?            01/01/70 00:00      
                                 A long is more "accurate" than a float.            01/01/70 00:00      
                                    Yes it is, but....            01/01/70 00:00      
                                       _Known_ transfer functions.            01/01/70 00:00      
                                          FP pitfalls            01/01/70 00:00      
                                             The compiler isn't going to take care of that.            01/01/70 00:00      
                                                Mantissa fields            01/01/70 00:00      
                                                   Misunderstandings ?            01/01/70 00:00      
                                                      Adding FP's accurately            01/01/70 00:00      
                                 can you not read ?            01/01/70 00:00      
                           Nonsense ...            01/01/70 00:00      
                              Calculator?            01/01/70 00:00      
                     If you're really curious ...            01/01/70 00:00      
                        Climax time            01/01/70 00:00      
                           OOPS!!....            01/01/70 00:00      
                           Equations            01/01/70 00:00      
                              Quantisation            01/01/70 00:00      
                                 Works in unsigned integer, too:            01/01/70 00:00      
                                    Abstract?            01/01/70 00:00      
                                       Useful abstractions.            01/01/70 00:00      
                                          Nice talking with you, Christoph.            01/01/70 00:00      
                           What are the actual requirements ?            01/01/70 00:00      
                              re filters            01/01/70 00:00      
                              And moving forward            01/01/70 00:00      
               You can not due to Dither            01/01/70 00:00      
         Clueless ?            01/01/70 00:00      
            Just dump the LSB            01/01/70 00:00      
               Don't forget proper rounding.            01/01/70 00:00      
            Speaking of DSP            01/01/70 00:00      
         Fluke stability            01/01/70 00:00      
   Oh yes they do!            01/01/70 00:00      
   my take on this            01/01/70 00:00      
      Walk, don't run            01/01/70 00:00      
         :)            01/01/70 00:00      
      Hello Erik            01/01/70 00:00      
         have fun, Jason            01/01/70 00:00      
            I am having fun            01/01/70 00:00      
               Ok, you are aware of this            01/01/70 00:00      
                  He's learning            01/01/70 00:00      
                  Assumptions            01/01/70 00:00      
                     and I ...            01/01/70 00:00      

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