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???
10/21/07 18:29
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#145976 - Math lecture ?
Responding to: ???'s previous message
1) you need to take at least 20 or 50 samples in succession

You can start with 8 or 16. Or, heck, even just 2. Nothing stops you from varying the number of samples you average. You can start with just two and have a maximum of, say, 16 in your window.

And the "multiple sample" requirement doesn't change with the type of filter you use. You will need to average/filter several samples in order to stop the last bit from flickering.

Actually, if it's only the last bit that flickers, 4 samples should be enough to stop it from doing that, since you get an additional bit of precision for every 4:1 averaging step (so, 1 bit for 4:1, 2 bits for 16:1 and so on).

DSP, huh!, well the Fluke 45 uses the 6303 MCU, the Fluke 8840/42 uses the Z86-Zilog MCU, hardly DSP class processors?

Digital signal processing is, at first, a sub-discipline of mathematics and has exactly nothing to do with the processor you use. I've done digital signal processing on a '51, and I've done it on a TMS320VC54x. Both were adequate for the specific task.

And yes, averaging two samples is already digital signal processing.

Wow!, how about we start with a first order differential equation, you know, the one that actually governs the CR circuit universally?

Well, you were asking for how to get a stable signal, and not for a math lecture. I don't know if I could give the complete derivation from the top of my mind (start with the first-order differential equation, sidetrack into Laplace transformation, derive Z-transformation from Laplace transformation, arrive at a discrete time representation of the first-order differential equation). Also, if you're just looking at time-discrete signals, the step of deriving the Z-transformation from the Laplace-transformation might not be necessary to understand what's going on. In the book I linked to, even though it's _very_ heavy at math, the author explains the Z-transformation without deriving it from the Laplace one.

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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