ARM-Cortex-M-Hilbert-Transform

DSP functions to compute Hilbert Transform of a set of real or complex data samples. Crucial in signal processing applications requiring analytic representation of the signal.

Note:

This function will only work in CMSIS based projects.

Usage

You only need to add the files "arm_chilbert.c" and "arm_hilbert.h" to your source group. The naming conventions are similar to functions provided by CMSIS-DSP software library. For further details on how to use the function, execute "test.c" provided in the "Examples" folder. Supports lengths of [16,32,64...4096] only.

Algorithm

1. Compute FFT of the vector.
2. Consider the no. of elements to be N. Then, multiply
   • 1 with elements at indices 0 and (N/2)
   • 2 with elements at indices from 1 to ((N/2)-1)
   • 0 with elements at indices from ((N/2)+1) to N-1
3. Finally, compute IFFT of the vector obtained.

License

This project is licensed under the MIT License - see the LICENSE.md file for more details.

Acknowledgments

The algorithm is based on MATLAB's implementation of "hilbert()" function.