Step 1) Partitioning Data for STFT (Short Time Fourier Transform)

 

During this step, the user partitions the signal data while allowing a certain amount of overlap between the partitions. The overlapping frames and data counts are integers and relate to the data counts for the FFT. The formula is as follows.

 

 

T: Total time

L: Time of frame data

Nf: Fame count for STFT

o: Overlap time

λ: Overlap ratio

 

 

The data count is an integer and each frame represent the count of the input data for the FFT (e.g. 256, 512, 1024…). Therefore, in order to use the existing data without using the interpolation to conduct STFT, the user should first select the data count of the frame to minimize the residual data and then determine L and O that can produce proper resolutions. The formula for residual data is as follows.

 

 

: Total data count

: Residual data count

: Frame count

: 1 Frame data count

: Overlap data count

After the user determines  and /, the user is ready to conduct STFT.