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Oct 2, 2020 at 17:06 history edited Dan Boschen CC BY-SA 4.0
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Oct 2, 2020 at 16:56 history edited Dan Boschen CC BY-SA 4.0
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Apr 29, 2019 at 18:18 history edited Dan Boschen CC BY-SA 4.0
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Apr 1, 2017 at 20:34 comment added Dan Boschen It's a "DSP Puzzle" tagged item so it hides the answer in case anyone wants to think about it first.
Apr 1, 2017 at 18:54 history tweeted twitter.com/StackSignals/status/848247325071990785
Apr 1, 2017 at 18:40 comment added endolith "Please preface your answer with spoiler notation" Why?
Apr 1, 2017 at 6:58 answer added Dan Boschen timeline score: 1
Apr 1, 2017 at 6:20 vote accept Dan Boschen
Apr 1, 2017 at 3:53 answer added robert bristow-johnson timeline score: 1
Apr 1, 2017 at 3:01 answer added SleuthEye timeline score: 3
Mar 31, 2017 at 23:25 comment added Dan Boschen @MBaz yes of course- decimal point is independent of fixed or floating (as in the range of a 12 bit fixed point (for example) can be 0 to $1-1/4096$ in steps of $1/4096$ or it can be 0 to 4095, or - 2048 to +2047 but would have the same instantaneous dynamic range. I sense you are on to me.
Mar 31, 2017 at 21:44 comment added MBaz Dan, I think I'm clear on the definition of instantaneous DR (the AGC example helped). I'm just trying to make sure I understood the puzzle correctly. And I might have been a bit unclear myself about the fixed-point format, I simply meant to ask if I'm free to select a number format and put the decimal point where I want -- I think that's all clear now. Regarding the noise, you've answered that question too.
Mar 31, 2017 at 21:42 comment added Dan Boschen @MBaz I am not sure I completely understand your question about noise, but will say that we are not limited by noise in the signal itself but we are limited by the noise of the numbering format we choose. That noise limits are bottom end and saturation/overflow would limit our upper end. Does this clear everything up?
Mar 31, 2017 at 18:51 history edited Dan Boschen CC BY-SA 3.0
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Mar 31, 2017 at 18:42 history edited Dan Boschen CC BY-SA 3.0
deleted 312 characters in body
Mar 31, 2017 at 18:41 comment added Dan Boschen @MBaz I think you're suggesting my analog AGC analogy was a little confusing and I would have to agree. I will try and come up with something more concise for explaining alternate dynamic ranges that are not "instantaneous", or perhaps you can help me there: The datapath is indeed all digital and I am simply talking about standard 32 bit fixed representations (2's complement of offset binary for example) vs a 32 bit floating point representation (such as IEEE 754 single-precision). I am going to delete the references to analog receivers etc...
Mar 31, 2017 at 15:47 comment added MBaz Dan, thanks for clarifying. Just to make sure I understand: the data path includes the ADC and all digital processing afterwards, right? Can wechoose any fixed point format as long as it's 32 bits? Can we assume there is no noise?
Mar 31, 2017 at 15:20 history edited Dan Boschen CC BY-SA 3.0
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Mar 31, 2017 at 15:20 comment added Dan Boschen @Fat32 I am going to wait a week; usually MattL waits 3 days to give others a chance, and then has the answer--so I am confident we will see a good answer before I reveal it.
Mar 31, 2017 at 15:19 comment added Dan Boschen @MBaz I clarified it in the question, please let me know if my explanation is still confusing.
Mar 31, 2017 at 9:25 comment added Fat32 I'm sure everybody would say floating point and therefore is looking forward to seeing your revelation of the surprising answer ;-))
Mar 31, 2017 at 3:03 comment added MBaz Dan, what do you mean by "instantaneous" dynamic range?
Mar 31, 2017 at 0:38 history asked Dan Boschen CC BY-SA 3.0