Construction of Nonuniform DFT Modulated Filter Banks via Phase Modulation
ZHOU Fang①② SHUI Penglang①
①(National Laboratory of Radar Signal Processing, Xidian University, Xi’an 710071, China)
②(School of Life and Environmental Sciences, Guilin University of Electronic Technology, Guilin 541004, China)
Abstract:Owing to its flexible frequency decomposition ability, nonuniform filter banks are widely applied to speech and image signal processing. However, the nonuniform Discrete Fourier Transform (DFT) modulated filter bank can not be constructed by directly merging certain subbands of the uniform one. In order to overcome this deficiency, a novel construction approach is proposed, in which the subband filters of the nonuniform filter bank are obtained by jointly employing the subband merging and phase modulation of the uniform one. The resultant nonuniform filter bank exhibits the very approximate overall performance as the uniform one. Moreover, the conditions are derived for the nonuniform DFT modulated filter banks to possess satisfactory frequency characteristics. Both the theoretical analysis and simulation results show the effectiveness of the proposed method.
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