A small microring array that performs large complex-valued matrix-vector multiplication  

作　　者：Junwei Cheng Yuhe Zhao Wenkai Zhang Hailong Zhou Dongmei Huang Qing Zhu Yuhao Guo Bo Xu Jianji Dong Xinliang Zhang 

机构地区：[1]Wuhan National Laboratory for Optoelectronics,School of Optical and Electronic Information,Huazhong University of Science and Technology,Wuhan 430074,China [2]Photonics Research Centre,Department of Electronic and Information Engineering,The Hong Kong Polytechnic University,Hong Kong 999077,China [3]The Hong Kong Polytechnic University Shenzhen Research Institute,Shenzhen 518057,China [4]Photonics Research Centre,Department of Electrical Engineering,The Hong Kong Polytechnic University,Hong Kong 999077,China [5]Institute of Strategic Research,Huawei Technologies,Shenzhen 518129,China

出　　处：《Frontiers of Optoelectronics》2022年第2期1-15,共15页光电子前沿（英文版）

基　　金：This work was partially supported by the National Key Research and Development Project of China(No.2018YFB2201901);the National Natural Science Foundation of China(Grant Nos.61805090 and 62075075);Shenzhen Science and Technology Innovation Commission(No.SGDX2019081623060558);Research Grants Council of Hong Kong SAR(No.PolyU152241/18E).

摘　　要：As an important computing operation,photonic matrix-vector multiplication is widely used in photonic neutral networks and signal processing.However,conventional incoherent matrix-vector multiplication focuses on real-valued operations,which cannot work well in complex-valued neural networks and discrete Fourier transform.In this paper,we propose a systematic solution to extend the matrix computation of microring arrays from the real-valued field to the complex-valued field,and from small-scale(i.e.,4×4)to large-scale matrix computation(i.e.,16×16).Combining matrix decomposition and matrix partition,our photonic complex matrix-vector multiplier chip can support arbitrary large-scale and complex-valued matrix computation.We further demonstrate Walsh-Hardmard transform,discrete cosine transform,discrete Fourier transform,and image convolutional processing.Our scheme provides a path towards breaking the limits of complex-valued computing accelerator in conventional incoherent optical architecture.More importantly,our results reveal that an integrated photonic platform is of huge potential for large-scale,complex-valued,artificial intelligence computing and signal processing.

关 键 词：Photonic matrix-vector multiplication Complex-valued computing Microring array Signal/image processing 

分 类 号：O17[理学—数学]