Single-pixel Imaging （SPI）， which is different from traditional imaging， has its advantages. For example， in infrared and terahertz imaging， traditional array-based imaging sensors and systems are relatively bulky， complicated， and usually demand additional auxiliary modules which make them expensive. In contrast， SPI provides a better solution in which only a single point detector is needed， and the setup of the system is simple， which significantly reduces the costs. It is developed with the advent of the Compressed Sensing （CS） theory. In 2006， DONOHO D L ^［1］ and CANDÈS E J ^［2］ proposed the CS theory. In 2008， DUARTE M F ^［3］ realized the SPI based on CS， which suggested that CS ^［1-6］ had a broad prospect in the field of SPI. In addition to CS， Hadamard Transform （HT） ^［7-15］， Fast Fourier Transform （FFT） ^［14-21］， Wavelet transform ^{［15， 22］} and so on have been used in SPI to reconstruct the object， due to the low hardware requirements， short imaging time， and good imaging performance. Among them， HT has the merits of deterministic orthogonal basis patterns and can produce binary patterns that can be conveniently implemented by a Spatial Light Modulator （SLM） such as a digital Micro-Mirror Device （DMD）. Therefore， it is widely utilized in SPI.