Sinusoidal Frequency Modulation Fourier-Bessel Series for Multicomponent SFM Signal Estimation and Separation

Algorithm 2

IF estimation and signal separation algorithm.

Input:   (or ) and the threshold .

Procedure:

Initialize the number of signal components .

Select a proper -resolution which meets the

requirement of estimation precision;

Compute of the signal

(or ) according to (2) (or (4));

  do Find and compute

the original estimated IF ;

Compute and the revised estimated IF

according to the Algorithm 1;

Reconstruct the signals by the several adjacent

coefficients

according to (3) (or (5));

Compute the ratio ;

Remove the coefficients ;

Set ;

While  .

Output: The number of signal components , estimated

IFs and separated individual components

(or ), where .