Direct Single-Step Measurement of Hadamard Spectrum Using Single-Pixel Optical Detection

Yin Xiao, Lina Zhou, Wen Chen

Research output: Journal article publicationJournal articleAcademic researchpeer-review

21 Citations (Scopus)


Spectrum can be acquired by Hadamard transform, and the spectrum energy concentrates on the upper-left corner according to the chosen Walsh-ordering Hadamard bases. Hence, measurement of the main spectrum coefficients can facilitate the reconstruction of objects. In this letter, we propose a method for directly calculating each Hadamard spectrum coefficient using only single-step measurement in single-pixel imaging (SPI) for high-contrast object reconstruction. The proposed method can significantly reduce the number of measurements in the SPI. In addition, an effective noise suppression strategy is further developed to recover high-contrast objects. The proposed method in the SPI is also tested in scattering environment. Experimental work is conducted to verify the feasibility and effectiveness of the proposed method.

Original languageEnglish
Article number8685198
Pages (from-to)845-848
Number of pages4
JournalIEEE Photonics Technology Letters
Issue number11
Publication statusPublished - 1 Jun 2019


  • Hadamard transform
  • object reconstruction
  • Single-pixel imaging
  • single-step measurement

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Electrical and Electronic Engineering


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