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A Cross-Hierarchical Scanning Method Based SP-4-WFRFT for Digital Communication Signals

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  • Fang Liu

Abstract

The fractional Fourier transform (FRFT) method has emerged in response to the demand for high-performance time-frequency processing technology. Next, the weighted fractional Fourier transform (WFRFT) method was developed, especially the single-parameter 4-weighted fractional Fourier transform (SP-4-WFRFT), which is most suitable for applications in digital communication systems. Therefore, in receiving systems, research on the scanning method of transformation order has also become the focus of research under the condition of unknown transformation order. However, in the process of inverse transformation, there are many problems, such as long scanning times and slow scanning speed. Thus, to improve the characteristics of a digital communication system based on SP-4-WFRFT, a cross-hierarchical scanning (CHS) method is established. A large number of test results show that the CHS method can achieve fast recovery of data and estimation of transformation order.

Suggested Citation

  • Fang Liu, 2018. "A Cross-Hierarchical Scanning Method Based SP-4-WFRFT for Digital Communication Signals," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-9, August.
    • Handle: RePEc:hin:jnlmpe:6580146
    DOI: 10.1155/2018/6580146
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