Imagine we have band limited signal with bandwidth of $B$, so the required Nyquist rate would be $f_{nyq}>2B$ that is oversampled with rates $f_s$ where $f_s = M*f_{nyq}$ and $M$ is random and $M>=1$. By that, I mean the sampling rate is at least at Nyquist rate but most of the time its way more than Nyquist and it is random. I have heard and read about iterative My questions are:

1. Is there a method to construct the signal as if it was taken in Nyquist more, without degradation of signal quality? After all, we have more samples than needed, so I do not expect any degradation, right?

2. Is there are some loss, how much is it, what factors it depends on?

3. Is there a toolbox or something that I can feed my data in and have some experiments of my own?

I appreciate any kind of contribution here :)

Imagine we have band limited signal with bandwidth of $B$, so the required Nyquist rate would be $f_{nyq}>2B$ that is oversampled with rates $f_s$ where $f_s = M*f_{nyq}$ and $M$ is random and $M>=1$. By that, I mean the sampling rate is at least at Nyquist rate but most of the time its way more than Nyquist and it is random. I have heard and read about iterative My questions are:

1. Is there a method to construct the signal as if it was taken in Nyquist more, without degradation of signal quality? After all, we have more samples than needed, so I do not expect any degradation, right?

2. Is there are some loss, how much is it, what factors it depends on?

3. Is there a toolbox or something that I can feed my data in and have some experiments of my own? ,

4.Is the technique used in MATLAB lossy?

I appreciate any kind of contribution here :)