<p>In the processing of two-dimensional single-peak symmetric signals, the peak position is a very important parameter. The current peak position estimation methods generally can be classified into two types: one is direct methods that get the value of peak position, which always suffer the shortcomings of low precision and poor noise resistance, especially for the estimation of sparse signals, whose quality is far from satisfactory; the other type requires extra prior information about the signals and then applies the corresponding fitting methods, but these methods often lose generality. In this paper, two new peak-finding algorithms are proposed. They mainly take advantage of the symmetry of the signal to obtain a denser signal through the mirroring and interpolating operations, which enhance the noise resistance and the estimation precision for the algorithm. From the experiments conducted in this paper, these two algorithms show obvious advantages compared with the centroid method, whose abilities of noisy resistance and performances in processing sparse signals are increased by approximately fifty to one hundred percent.</p>

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Two peak-finding algorithms for two-dimensional unimodal symmetric signals based on mirroring and interpolating

  • Wei Chen,
  • Jiao Li,
  • Bin Wan,
  • Jinwei Hu,
  • Jianyu Liu,
  • Zhenfeng Chen

摘要

In the processing of two-dimensional single-peak symmetric signals, the peak position is a very important parameter. The current peak position estimation methods generally can be classified into two types: one is direct methods that get the value of peak position, which always suffer the shortcomings of low precision and poor noise resistance, especially for the estimation of sparse signals, whose quality is far from satisfactory; the other type requires extra prior information about the signals and then applies the corresponding fitting methods, but these methods often lose generality. In this paper, two new peak-finding algorithms are proposed. They mainly take advantage of the symmetry of the signal to obtain a denser signal through the mirroring and interpolating operations, which enhance the noise resistance and the estimation precision for the algorithm. From the experiments conducted in this paper, these two algorithms show obvious advantages compared with the centroid method, whose abilities of noisy resistance and performances in processing sparse signals are increased by approximately fifty to one hundred percent.