Parameter optimization in reconstruction of multiband signal from periodically non-uniform sampling

Periodically non-uniform sampling (PNS) is considered as an effective approach for multi-band signal sampling. Reconstruction of signal from PNS can be achieved without distortion under the assumption that the signal is perfectly band-limited. However, most signals in practice could not meet such requirement, thus the sampling parameters play an important role on the quality of reconstructed signal. In this paper, an optimization method of sampling parameter is proposed in the presence of non-ideality condition. The optimization method deals with time shifts of each sampling channel at fixed sampling rate and is based on minimizing the 2-norm of coefficients function of the reconstruction filters. Simulation results are provided to demonstrate the effectiveness of the proposed method.