Re: [music-dsp] Sampling theorem extension

2015-06-10 Thread Vadim Zavalishin
On 09-Jun-15 19:23, Ethan Duni wrote: Could you give a little bit more of a clarification here? So the finite-order polynomials are not bandlimited, except the DC? Any hints to what their spectra look like? How a bandlimited polynomial would look like? Any hints how the spectrum of an

Re: [music-dsp] Sampling theorem extension

2015-06-10 Thread Vadim Zavalishin
On 09-Jun-15 22:08, robert bristow-johnson wrote: a Nth order polynomial, f(x), driven by an x(t) that is bandlimited to B will be bandlimited to N*B. if you oversample by a ratio of at least (N+1)/2, none of the folded images (which we call aliases) will reach the original passband and can be

Re: [music-dsp] Sampling theorem extension

2015-06-10 Thread Theo Verelst
robert bristow-johnson wrote: On 6/9/15 4:32 AM, Vadim Zavalishin wrote: Creating a new thread, to avoid completely hijacking Theo's thread. it's a good idea. I agree that there was the possibility of an unstable offense resolution, but I wasn't aware people were being afraid of that

Re: [music-dsp] Sampling theorem extension

2015-06-10 Thread Ethan Duni
If we're talking about unilateral Laplace transform, No, the full-blown (bilateral) Laplace and Z transforms. With bilateral Laplace transform it's also complicated, because the damping doesn't work there, except possibly at one specific damping setting (for an exponent, where for polynomials it