Compressed Imaging (CI) is one of the most important research area of compressed sensing.Analyzing the constraints on actual measurement matrix and measurement values in CI

a frequency domain phase encoding CI method is proposed

which can be physically realized based on 4-f optical architecture.This method exploits two-way optical architecture compensated for the phase-encoding CI to implement the value non-negative for recording

and then accurately recover the original image from the measured values

to resolve inconsistencies between the theoretical requirements and physical constraints in CI.With measured values can be obtained in a single exposure

such method can reconstruct the original image precisely without additional information

and is a very practical scheme for physical realization of CI.Simulation experiments demonstrate that our proposed method can effectively capture compressed measurements of image and achieve super-resolution reconstruction.