Sequences with low aperiodic autocorrelation sidelobes have been extensively researched in literatures. With sufficiently low integrated sidelobe level (ISL), their power spectrums are asymptotically flat over the whole frequency domain. However, for the beam sweeping in the massive multi-input multi-output (MIMO) broadcast channels, the flat spectrum should be constrained in a passband with tunable bandwidth to achieve the flexible tradeoffs between the beamforming gain and the beam sweeping time. Motivated by this application, we construct a family of sequences termed the generalized step-chirp (GSC) sequence with a closed-form expression, where some parameters can be tuned to adjust the bandwidth flexibly. In addition to the application in beam sweeping, some GSC sequences are closely connected with Mow's unified construction of sequences with perfect periodic autocorrelations, and may have a coarser phase resolution than the Mow sequence while their ISLs are comparable.

翻译：文献中已广泛研究具有低非周期自相关旁瓣的序列。当集成旁瓣电平（ISL）足够低时，其功率谱在整个频域内渐近平坦。然而，针对大规模多输入多输出（MIMO）广播信道中的波束扫描，平坦频谱需被约束在可调带宽的通带内，以实现波束成形增益与波束扫描时间之间的灵活权衡。受此应用启发，我们构建了一类称为广义步进啁啾（GSC）序列的序列族，其具有闭式表达式，其中部分参数可调节以灵活调整带宽。除波束扫描应用外，部分GSC序列与Mow的完美周期自相关序列统一构造密切相关，且其相位分辨率可能比Mow序列更粗糙，但二者的ISL性能相当。