The Modification And Application Of The Matrix Pencil Method

The traditional calculations in electromagnetic field have their own defects. Their application fields are also limited. A kind of methods which could extract characteristics from the parameter model becomes popular. Matrix pencil method (MPM) is one of these methods which have been widely used in target recognition, geophysical exploration, speech recognition, sonar system and many other fields. As the Least-Squares algorithm is used to avoid iteration during the process, MPM has advantages of stability, high efficiency and real-time.The theory of MPM and a new Coupled Matrix Pencil Method(COMPM) are introduced in the thesis first. Using the duality relations between the time and frequency Domain, a new time domain COMPM which could reconstitute the whole time signals with the limited early and later time period is proposed here. Combined with the property of Fourier Transform, this new method could also be used as a new way for the extrapolation in time and frequency domain. Then, the application of MPM to the parameter reconstruction of the stratified media is discussed. With the similar characteristics between parameter model and the stratified media parameter, a new reconstruction technique, which could realize the parameter inversion of stratified media based on frequency domain reflection data in the noise and anti-noise capacity, is proposed. The simulation results show the method proposed here is efficiency.The MPM and the application discussed here prove its good characteristics. The thesis shows that the MPM could be widely used in features extraction, data reorganization and extrapolation. The prospect is also described in the end of the thesis.