Improving the Ranging Performance of Random ISAC Signals Through Pulse Shaping Design
arxiv(2024)
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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