Constructing long multiple level sequences using much shorter component codes is proposed. Correlation properties and constructions of multiple level sequences are studied. Upper bounds and lower bounds are derived for autocorrelation functions and cross-correlation functions. A-quantized sequences and P-quantized sequences are proposed as criteria for the construction. Multiple level sequences can help to reduce the hardware complexity of signal detection to $L^{1/M}/L$ compared with the complexity of traditional signal detectors, with $M*to2$ the number of levels and $L*bj1$ the signal length, while maintaining the same level of correlation properties as other well-known sequences in spread spectrum communications.
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机译：提出了使用短得多的分量码构造长的多级序列。研究了多级序列的相关性质和构造。导出自相关函数和互相关函数的上限和下限。提出了A量化序列和P量化序列作为构建标准。与传统信号检测器的复杂度相比，多级序列可以帮助将信号检测的硬件复杂度降低到$ L ^ {1 / M} / L $，其中，数级$ M * to2 $和$ L * bj1 $信号长度，同时保持与扩频通信中其他众所周知的序列相同的相关属性级别。
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