关键词: 离散Gabor展开与变换, 离散哈特利变换（DHT）, 多抽样率滤波, 完全重建, 分析和综合滤波器组

Abstract: Novel and fast parallel algorithms for DHT-based real-valued discrete Gabor expansion and transform are presented based on multirate filtering.An analysis filter bank is designed for DHT-based real-valued discrete Gabor transform and a synthesis filter bank is designed for DHT-based real-valued discrete Gabor expansion.Each of the parallel channels in the two filter banks has a unified structure and can apply the DHT to reduce its computational load.The computational complexity of the proposed parallel algorithms is analyzed and compared with that of the major existing parallel DGT and DGE algorithms，the results indicate that the proposed parallel algorithms for DHT-based real-valued discrete Gabor expansion and transform based on multirate filtering are very attractive for real time signal processing.

Key words: discrete Gabor expansion and transform, Discrete Hartley Transform（DHT）, multirate filtering, perfect reconstruction, analysis and synthesis filter banks