论文标题
零相关区序列具有灵活的区块重复光谱约束
Zero Correlation Zone Sequences With Flexible Block-Repetitive Spectral Constraints
论文作者
论文摘要
提出了具有稀疏周期性相关函数的一组时间域序列，具有多个连续的零值的多个段，即多个零相关区（ZCZ）。所有此类序列在其离散的傅立叶变换（DFT）序列中均具有零位置的常见和块重复结构，其中零在DFT序列中的确切位置不会影响ZCZ的位置和尺寸。该属性在设计具有良好相关属性的信号方面具有全新的灵活性。 DFT序列的非零值由相应的频域调制序列确定，该序列是两个组件序列的元件元素元素构造：一个“长”一个序列，一个“长”一个序列，这是一组时域序列共有的，它控制了峰值对空位的功率比（PAPR）特性（PAPR）的时间段序列；一个“短”一个，定期扩展以匹配“长”组分序列的长度，该序列控制所有时间域序列的非零互相关值。结果表明，如果选择“长”频域组件序列为可调节的恒定振幅零自相关（MCAZAC）序列，则可以获得时间域序列的0 dB PAPR。提出了MCAZAC序列的广义和简化的统一结构。
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.
