| Summary: | 碩士 === 中原大學 === 電機工程研究所 === 94 === Abstract
In this thesis, we propose a detection method to reduce the detection complexity for nonlinear continuous phase modulation (CPM) signals. We apply Laurent decomposition to the binary nonlinear CPM signals such that the numbers of matched filters and trellis states are smaller with a little performance loss.
In the first instance we would like to apply Laurent decomposition into the binary nonlinear CPM signals. In order to apply the Laurent decomposition into the nonlinear CPM signals, which exist in integer modulation indices, we have to restrict within two conditions to rewrite the generic pulses. One is that chooses the frequency response. The other is that transforms the integer modulation index. Under this constrains, the Laurent decomposition can be applied successfully into the binary nonlinear CPM signals. Since the Laurent decomposition makes the almost total signal power is carried by the first order signal component. Therefore, we can focus detection on low order signals and ignore high order signals to reduce the numbers of matched filters and trellis states.
The contributions in this thesis are as follows：
1.We show that the Laurent decomposition can be applied to the binary nonlinear CPM signals without distortion.
2.Based on extension of Laurent decomposition of nonlinear CPM signals, the receiver complexity can be reduced.
We trust that the results of our research in this thesis will be much helpful to future research in the category of the nonlinear CPM.
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