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Test Equipment / Re: Choosing between entry-level 12-bit DSOs
« Last post by nctnico on Today at 08:02:41 pm »That is true and I'm not denying that in any way. Actually, I wrote that earlier on. But in the real world DSO manufacturers push the bandwidth up high so you can get as close to Nyquist as possible and still get a decent sine wave. At the cost of some signals getting artefacts (like a square wave getting Gibbs ears). And as I wrote a few posts earlier, if you don't want Gibbs ears, then you need to turn the bandwidth limit on. But this will reduce bandwidth. IOW: the DSO manufacturers leave it up to the user whether they want the most bandwidth or the best signal representation. Given the fixed, maximum samplerate you have to choose between one or the other. And again, sin x / x reconstruction is rather crude so that doesn't help.With a better, higher order reconstruction filter you can achieve much better results compared to sin x/x at the expense of computational power (I did some experiments with this a long time ago).i bet your higher order reconstruction filter is one of sin x/x derivative:
https://en.wikipedia.org/wiki/Reconstruction_filter
https://en.wikipedia.org/wiki/Whittaker%E2%80%93Shannon_interpolation_formula
about "anti-aliasing filters which prevent violating Nyquist", we went through that rigol is not properly BW limited at 4CH turned on, and Sinc reconstruction implementation is a bit broken. but your earlier post is too general, so i'm agitated to reply... such as this...The real problem is that you can only use Fourier series to construct continuous functions. You can't use Fourier series to construct functions with a step in them like a square wave. However, when sampling a square wave like signal (which in the real world can never be a step function) it can turn into a step function in the digital world due to insufficient samples to follow the edges. And as a result you'll get Gibb's ears when applying the sin x / x filter to the sampled signal
some part of it imho is misleading, esp the bolded line. a properly bw limited scope and correct implementation of Sinc derivative filter will not produce gibbs ear, thats not me saying, thats from theory saying (at least what i understand). ymmv.