基于低速并行随机采样的高分辨测距方法
High Resolution Ranging Method Based on Low-Rate Parallel Random Sampling
提出了一个低速率高分辨率的UWB测距系统。该系统在压缩感知的理论框架中,利用了基于随机投影的并行ADC(analog-to-digital conventer)采样结构(简称为并行随机采样)。为了保障压缩感知的有效性,构造了一个由发射信号的时移函数构成的字典,使得反射回波信号在该字典中有稀疏的表示,进而可以使用并行随机采样结构对其低速采样。与AIC(analog-to-information)结构相比,使用并行随机采样的具有更佳的变换兼容性(对短支撑的基函数性能不会衰减)、更低的采样率、更好的鲁棒性。另外,由于字典的维度可以根据实际的计算能力进行调整,整个系统的测距分辨率根据需求加以调整。仿真试验证明,对一个包含了5个目标回波的反射信号,在保障系统的分辨率达到传统方法的最优分辨率的前提下,采样率即使少于Nyquist采样率的10%,回波的检测率仍能达到95%。
In this paper, we propose a low-rate high-resolution ranging method for UWB (up to several GHz of sampling rate) ranging system. It exploits compressed sensing (CS) theory and a parallel sampling ADCs structure based on random projection (PSRP). To guarantee the effective application of CS on the received signal, we construct a dictionary in which the atoms are time-shifted versions of the transmitted signal. Hence the received signal can be low-rate sampled by PSRP. For an UWB ranging system using PSRP instead of the newly pro- posed analog-to-information converter, it possesses the universality of dictionary atoms, lower sampling rate and better performance for noisy signal. Addition- ally, since the dictionary size in this work can be adjusted flexibly, a desired high resolution can be achieved. The simulation results confirm these advantages via a noisy received signal (SNR=16dB) which contains five target echoes. Though the received signal is sampled at less 10% of Nyquist rate, the probability of echo detection is over 95% and the distance resolution reaches the optimal of the conventional ranging method.
陈旭阳、张犁、林杰、齐飞、石光明
电子技术概论通信无线通信
低速随机采样高分辨测距方法压缩感知稀疏表示
High resolutionranging methodlow-rate random sampling compressed sensingsparse representation
陈旭阳,张犁,林杰,齐飞,石光明.基于低速并行随机采样的高分辨测距方法[EB/OL].(2010-05-31)[2025-08-03].http://www.paper.edu.cn/releasepaper/content/201005-793.点此复制
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