First sentence from the original article: „A team from Columbia University led by Ken Shepard and Rafa Yuste claims to beat the 100 year old Sampling Theorem“
> (2) existing idea spun as something new
The existing idea is oversampling and is often spun as beating the sampling theorem. But this is unlike the airless tires example, because, while oversampling works, it isn‘t beating the sampling theorem but rather based on it.
You can filter after sampling, but that filter is not a replacement for the analog ant-aliasing filter. To avoid aliasing you have to somehow limit the bandwidth of your input.
Right; it's not a replacement. But you can then pretend (due to naivete or dishonesty) that the analog one doesn't exist and claim you've beaten the sampling theory. Why: because the input stage before the sampler naturally has a limited frequency response and you happen sample well above that. Thus a filter is de facto there but wasn't formally designed in.
> (2) existing idea spun as something new
The existing idea is oversampling and is often spun as beating the sampling theorem. But this is unlike the airless tires example, because, while oversampling works, it isn‘t beating the sampling theorem but rather based on it.
You can filter after sampling, but that filter is not a replacement for the analog ant-aliasing filter. To avoid aliasing you have to somehow limit the bandwidth of your input.