How to perform 45 degree phase rotation for a recorded signal?

Hi,

I am would like to perform 45 degree phase rotation for a recorded signal.

I know I can achieve 90 degree phase rotation using hilbert transform. but how can I achieve phase rotation of 45 degrees?

I searched a in the internet, I can find examples for basic signals with the function. But, I could not find for recorded signal using matlab.

The figure below shows two signals u and w. the second plot can be obtained be plotting u vs w.

The figure below is the 45 degree phase rotated for u and w and it looks like

I have attached a sample signal similar to the plot. In my case the two signals are z1 and z2.

How can I achieve 45 degree phase rotation?

Many Thanks

Answer 1

[Addy]

If anyone is wondering, I found a literature.

It is ploarization technique that can be obtained using the following formula.

Link to literature: Robust polarization filter for separation of Lamb wave modes acquired using a 3D laser vibrometer