Conclusion

In this paper, we proposed a method of extracting the desired signal from a noise-added signal, using physical constraints related to the four regularities proposed by Bregman, and by solving the problem of segregating two acoustic sources. We have carried out three simulations on segregating two-acoustic sources using noise-added signal f(t), to show that the proposed method can extract the desired signal f₁(t) from it. These simulations are:

1.

Extracting an AM complex tone from noise-added AM complex tone.

2.

Extracting one AM complex tone from mixed AM complex tones.

3.

Extracting a speech signal from noisy speech.

As the results of simulations 1 and 2, the proposed method can extract the AM complex tone from not only a noise-added AM complex tone but also mixed AM complex tones, in which signal and noise exist in the same frequency region, with high precision. In particular, it is possible to reduce the SD by about 20 dB as noise reduction, using the proposed method. Moreover, as the result of simulation 3, the proposed method can also extract the speech signal from noisy speech.

Future work includes as follows: (1) to determine the input phases $\theta_{k1}(t)$ and $\theta_{2k}(t)$, and (2) to evolve the grouping constraints for the deviation of F₀. If the above subjects are cleared, then the proposed model can be used not only to extend the problems of extracting the desired FM tone from noise-added FM tone and the desired AM-FM tone from noise-added AM-FM tone, but also to extend problems of extracting the desired speech signal from noisy signal in a real environment, such as cocktail party effects.