ABSTRACT

In analog or digital signal processing techniques, power spectrum estimation is commonly used to obtain the power distribution of the signal in the frequency domain. It is a useful and popular tool to analyze or characterize a signal or processing system. However, under this processing mechanism the phase information of the spectral components is suppressed, especially under 1-D Fourier transform. Multibound solitons are generated via the phase control of the lightwaves transporting the soliton envelopes. It is very important to understand the phase evolution of the lightwave carrier transporting these bound solitons. The bispectrum technique is a very powerful transformation technique to obtain the amplitude and phases of the solitons distributed in two dimensions (2-D). This chapter is dedicated to introduce this bispectrum transform technique and its applications in the identification of the properties of multi-bound solitons.