Design of Channelized Prototype Filter Based on Frequency Domain Interpolation
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Abstract:
A novel method of designing channelized prototype filter based on interpolation in frequency domain is proposed in view of high complexity in existing design method. A low-order filter model with high stopband attenuation was obtained by the proposed algorithm for employing unconstrained iterative processing, then the discrete spectrum of prototype filter with linear phase can be constructed based on the spectrum interpolation model derivated by us. Finally, the IFFT transform is performed to get the prototype filter which is suitable for the character of perfect reconstruction of channelized filter bank. Moreover, the afore mentioned algorithm uses the interpolation of frequency domain in combination with iterative optimizing, which avoids a large number of parameters to be optimized when the prototype filter is designed with a high stopband attenuation. Besides, the image spectrum is saved,which avoids the filter design of image suppressor. Simulation results reveal that the proposed method embraces favorable performance improvements compared with the conventional algorithm of time domain interpolation, and relieves the complexity of design.
