Silicon photonic computing system is expected to replace traditional electronic computing systems in specific applications in the future, owing to its advantages in high speed, large bandwidth, low power consumption, and resistance to electro-magnetic interference. In this paper, we propose a tunable time-delay photonic computing architecture based on chirped Bragg gratings (CBG), which replaces traditional dispersion fibers to achieve the required delay function in system architecture, while providing reconfigurability capabilities of time delay control. Simulation results, using 3rd-order and 4th-order input matrices to convolve with 2nd-order convolution kernel matrices, demonstrates that the proposed photonic computing architecture can effectively perform matrix convolutional operations of various orders. Furthermore, the functionality and performance of design tunable time delay module based on CBG is also verified in the system. Therefore, our proposed scheme can be employed in the matrix multiplications of photonic computing architecture, which provides an optional efficient solution for future photonic convolutional neural networks.
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