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Improving the Ranging Performance of Random ISAC Signals Through Pulse Shaping Design

arxiv(2024)

Cited 0|Views23
Abstract
In this paper, we propose a novel pulse shaping design for single-carrier integrated sensing and communication (ISAC) transmission. Due to the communication information embedded in the ISAC signal, the resulting auto-correlation function (ACF) is determined by both the information-conveying random symbol sequence and the signaling pulse, where the former leads to random fluctuations in the sidelobes of the ACF, impairing the range estimation performance. To overcome this challenge, we first analyze the statistical characteristics of the random ACF under the symbol-wise pulse shaping (SWPS) regime. As a step further, we formulate an optimization problem to design ISAC pulse shaping filters, which minimizes the average integrated sidelobe level ratio (ISLR) while meeting the Nyquist criterion, subject to power and bandwidth constraints. We then show that the problem can be recast as a convex quadratic program by expressing it in the frequency domain, which can be readily solved through standard tools. Numerical results demonstrate that the proposed pulse shaping design achieves substantial ranging sidelobe reduction compared to the celebrated root-raised cosine (RRC) pulse shaping, given that the communication throughput is unchanged.
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要点】:本文提出了一种用于单载波集成感知与通信(ISAC)传输的脉冲整形设计,创新点在于通过优化脉冲整形滤波器,减少了随机ISAC信号自相关函数的旁瓣波动,提高了测距性能。

方法】:文章通过符号级脉冲整形(SWPS)方法,分析了随机自相关函数的统计特性,并构建了一个优化问题,设计ISAC脉冲整形滤波器,以最小化平均综合旁瓣水平比(ISLR),同时满足奈奎斯特准则,并在功率和带宽约束下求解。

实验】:实验通过频率域表达,将问题转化为凸二次规划问题,并使用标准工具求解。与著名的根升余弦(RRC)脉冲整形相比,所提出的脉冲整形设计在通信吞吐量不变的情况下,实现了显著的测距旁瓣降低。