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GMW序列是一种线性复杂度很高的非线性序列,在直接序列扩频系统中有着很好的应用前景。通过证明级联二元GMW序列与其采样序列的互相关性在特定条下和构造级联GMW序列的幂无关,将二元GMW序列与其采样序列的互相关性与m序列联系起来。通过现有二元m序列在Niho采样下的互相关性研究结论,分析证明了级联二元GMW序列在Niho采样下的互相关性具有四值、五值、六值特性。
GMW sequence is a non-linear sequence with high linear complexity. It has a good application prospect in direct sequence spread spectrum system. By verifying that the cross-correlation between a cascaded GMW sequence and its sampling sequence is independent of the power of constructing a cascaded GMW sequence under certain conditions, the cross-correlation between the binary GMW sequence and its sampling sequence is related to the m-sequence. Through the research on the cross-correlation of existing binary m sequences under Niho sampling, it is proved that the cross-correlation of cascaded binary GMW sequences with Niho sampling has four-valued, five-valued and six-valued characteristics.