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针对信道化原型滤波器设计复杂度较高的问题,提出一种满足线性相位要求的原型滤波器频域插值设计算法。该算法采用无约束迭代优化办法获得了阻带衰减较高的低阶滤波器模型,然后根据所推导的频域插值模型构建满足线性相位特性的原型滤波器频谱,最后通过快速傅里叶逆变换获得了满足信道化滤波器组完全重构特性要求的原型滤波器。所提设计算法将频域插值与迭代优化相结合,有效地解决了设计高阻带衰减的原型滤波器时待优化参数数目较大的问题,并且不会产生镜像频谱,省去了镜像抑制滤波器的设计。仿真结果表明,所提算法相比传统的时域插值设计算法具有显著的性能改善,并且降低了设计复杂度。
Aiming at the problem of high design complexity of channelized prototype filter, this paper proposes an algorithm of prototype filter frequency domain interpolation to meet the requirement of linear phase. The algorithm uses the unconstrained iterative optimization method to obtain a lower-order filter model with high stop-band attenuation. Then, a prototype filter spectrum satisfying linear phase characteristics is constructed according to the derived frequency-domain interpolation model. Finally, the inverse fast Fourier transform The prototype filter that satisfies the requirements of complete reconfiguration of channelized filter banks is obtained. The proposed algorithm combines frequency-domain interpolation and iterative optimization to effectively solve the problem of large number of parameters to be optimized when designing the prototype filter with high stop-band attenuation, and does not generate the image spectrum and eliminates the need of image rejection filtering The design of the device. The simulation results show that the proposed algorithm has significant performance improvement compared with the traditional time-domain interpolation design algorithm and reduces the design complexity.