Implement Kaiser waveform ?

[LaurentAjdnik]

Hi all!

From https://arxiv.org/abs/2104.15044:

In practice, a properly shaped waveform—like the Blackman waveform, which we will use here — can mitigate unwanted modifications to the modulated signal, stemming from spectral leakage or noise sensitivity.

From https://numpy.org/doc/stable/reference/generated/numpy.blackman.html:

The Blackman window is a taper formed by using the first three terms of a summation of cosines. It was designed to have close to the minimal leakage possible. It is close to optimal, only slightly worse than a Kaiser window.

Hence, should we implement a KaiserWaveform based on https://numpy.org/doc/stable/reference/generated/numpy.kaiser.html (probably with beta = 8.6)?

[HGSilveri]

Hey @LaurentAjdnik ! This a very good idea, I'm all for it.

To be clear, the beta should be a keyword argument, and the default at beta=8.6.

Can I turn this into an issue and assign it to you?

[HGSilveri]

On second thought, you might want to start with beta=14, as suggested in the numpy docs. Otherwise, we'll just have this one duplicating the BlackmanWaveform by default.

[LaurentAjdnik]

Yup!

This is either gonna be super simple or a real pain in the *ss... 😁

[LaurentAjdnik]

Hi @HGSilveri, you can mark this as "Answered".