具有灵活块重复谱约束的零相关区序列
Zero Correlation Zone Sequences With Flexible Block-Repetitive Spectral Constraints
摘要：
提出了一种具有稀疏周期相关函数的时域序列集的一般构造方法，该序列集具有多个连续零值段，即多个零相关区（ZCZ）。所有这样的序列在其离散傅里叶变换（DFT）序列中具有零位置的共同和块重复结构，其中DFT序列中零的确切位置不影响ZCZ的位置和大小。该特性为在各种频谱约束下设计具有良好相关特性的信号提供了全新的灵活性。DFT序列的非零值由相应的频域调制序列确定，频域调制序列被构造为两个分量序列的逐元素乘积：“长”序列，其对于时域序列的集合是公共的，并且其控制时域序列的峰均功率比（PAPR）属性;以及周期性地扩展以匹配“长”分量序列的长度的“短”分量序列，其控制所有时域序列的非零互相关值。结果表明，如果选取“长”频域分量序列为可调制恒幅零自相关（MCAZAC）序列，则时域序列的峰均比可达0 dB。本文给出了MCAZAC序列的一种推广和简化的统一构造方法。
英文摘要：
A general construction of a set of time-domain sequences with sparse periodic correlation functions, having multiple segments of consecutive zero-values, i.e. multiple zero correlation zones (ZCZs), is presented. All such sequences have a common and block-repetitive structure of the positions of zeros in their Discrete Fourier Transform (DFT) sequences, where the exact positions of zeros in a DFT sequence do not impact the positions and sizes of ZCZs. This property offers completely new degree of flexibility in designing signals with good correlation properties under various spectral constraints. The non-zero values of the DFT sequences are determined by the corresponding frequency-domain modulation sequences, constructed as the element-by-element product of two component sequences: a "long" one, which is common to the set of time-domain sequences, and which controls the peak-to-average power ratio (PAPR) properties of the time-domain sequences; and a "short" one, periodically extended to match the length of the "long" component sequence, which controls the non-zero crosscorrelation values of all time-domain sequences. It is shown that 0 dB PAPR of time-domain sequences can be obtained if the "long" frequency-domain component sequence is selected to be a modulatable constant amplitude zero autocorrelation (MCAZAC) sequence. A generalized and simplified unified construction of MCAZAC sequences is presented.
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