Frequency estimation utilizing the Hadamard transform

T. Andersson, M. Skoglund, P. Handel
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引用次数: 4

Abstract

Fast analog to digital conversion with only one bit per sample not only makes high sampling rates possible but also reduces the required hardware complexity. For short data buffers or block lengths, it has been shown that tone frequency estimators can be implemented by a simple table look-up. We present an analysis of such tables using the Hadamard transform. As an outcome of the analysis, we propose a class of nonlinear estimators of low complexity. Their performance is evaluated using numerical simulations. Comparisons are made with the proper Cramer-Rao bound and with the table look-up approach.
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利用阿达玛变换进行频率估计
快速模拟到数字转换,每个采样只有一个比特,不仅使高采样率成为可能,而且还降低了所需的硬件复杂性。对于较短的数据缓冲区或块长度,已经证明音调频率估计器可以通过简单的表查找来实现。我们用Hadamard变换对这些表进行了分析。作为分析的结果,我们提出了一类低复杂度的非线性估计量。利用数值模拟对其性能进行了评价。比较了适当的Cramer-Rao界和表查找方法。
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期刊介绍: Journal of Signal Processing is an academic journal supervised by China Association for Science and Technology and sponsored by China Institute of Electronics. The journal is an academic journal that reflects the latest research results and technological progress in the field of signal processing and related disciplines. It covers academic papers and review articles on new theories, new ideas, and new technologies in the field of signal processing. The journal aims to provide a platform for academic exchanges for scientific researchers and engineering and technical personnel engaged in basic research and applied research in signal processing, thereby promoting the development of information science and technology. At present, the journal has been included in the three major domestic core journal databases "China Science Citation Database (CSCD), China Science and Technology Core Journals (CSTPCD), Chinese Core Journals Overview" and Coaj. It is also included in many foreign databases such as Scopus, CSA, EBSCO host, INSPEC, JST, etc.
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