Optimal prototype filters for near-perfect-reconstruction cosine-modulated nonuniform filter banks with rational sampling factors

Authors:
Xuemei Xie;Guangming Shi;Wei Zhong;Xuyang Chen
Affiliations:
School of Electronic Engineering, Xidian University, Xi'an, P.R. China;School of Electronic Engineering, Xidian University, Xi'an, P.R. China;School of Electronic Engineering, Xidian University, Xi'an, P.R. China;School of Electronic Engineering, Xidian University, Xi'an, P.R. China
Venue:
ICNC'06 Proceedings of the Second international conference on Advances in Natural Computation - Volume Part II
Year:
2006

Citing 6
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Abstract

In this paper, we propose a simple design method of nonuniform filter banks (NUFBs) with rational sampling factors. The analysis filters are respectively generated by cosine modulating several prototype filters with certain matching condition. By following a cosine roll-off function of the transition bands of the stretched prototype filters, the overall system is approximately power complementary and therefore possesses the near-prefect-reconstruction (NPR) property. Further, due to the use of the Parks-McClellan algorithm in the filter design, no objective function in the optimization is explicitly required and optimal prototype filters for NPR cosine-modulated NUFBs can be obtained. Design examples along with comparisons show that the resulting filter banks are of high filter quality and the proposed method is of simplicity and effectiveness.