Hilbert Transform for FPGA

Question

Hello,
I am currently struggling trying to recreate the Hilbert transform onto the FPGA keeping all the numbers to a maximum of 32bit and the processing time to a small enough tick count that I can run two signals of 100KHz through it.
I have a working system in LabVIEW windows but am really having issues when trying to only use integer numbers.
I am trying to calculate the Hilbert transform of real-valued function
Xr (t)® Xˆ (t),
the analytical signal:
X (t) X (t) i Xˆ (t)and the instantaneous phase and frequency. Unfortunately this is proving more of a challange than I was hoping so was wandering if anyone had any ideas. I have attached all of the equations I am trying to reproduce, just dont think my maths is currently up to standards. Thankyou.
Pete
Attachments:
calculations.JPG ‏39 KB

Answer 1

Hi, Attached is the code,
The problem I am having is that this needs to be implemented not only on FPGA  but on a point by point basis so that I can implement the instantaneous phase and frequency on my latest signal value and calculate my desired output , a pulse of one or zero based on the most recent value I have recieved. I have tried doing a FFT input, multiply by -j and FFT-1, instead of the hilbert, though I am having problems merging the buffers that the two are using so that it functions as a point by point system on the FPGA.
Thank you.
Peter
Attachments:
Hilbert.vi ‏208 KB