Abstract
Traditional designs for non-uniform filter bank (NUFB) are usually complex; involve complicated nonlinear optimization with a large number of parameters and lack of linear phase ([LP) property. In this paper, we describe a simple design method for multirate near perfect reconstruction (NPR) cosine modulated filter banks with non-uniform frequency spacing and linear phase property that involves optimization of only single parameter. It is derived from the uniform cosine modulated filter bank (CMFB) by merging some relevant band pass filters. The design procedure and the structure of the uniform CMFB are mostly preserved in the non-uniform implementation. Compared to other design methods our method provides very good design and converges very rapidly but the method is applicable, only if the upper band edge frequency of each non-uniform filter is an integral multiple of the bandwidth of the corresponding band. The design examples are presented to show the superiority of the proposed method over existing one.
Highlights
Multirate filter bank find wide applications in many areas of digital signal processing such as sub-band coding, transmultiplexer, image, video and audio compression, adaptive signal processing [1,2,3]
We describe a simple design method for multirate near perfect reconstruction (NPR) cosine modulated filter banks with non-uniform frequency spacing and linear phase property that involves optimization of only single parameter
It is derived from the uniform cosine modulated filter bank (CMFB) by merging some relevant band pass filters
Summary
Multirate filter bank find wide applications in many areas of digital signal processing such as sub-band coding, transmultiplexer, image, video and audio compression, adaptive signal processing [1,2,3]. In some applications like audio analysis and coding, broadband array signal processing non-uniform and variable time-frequency resolution may lead to better performance and reduced arithmetic complexity, which is provided by non-uniform filter bank [NUFB] [4,5,6]. In wideband audio signal analysis and coding, filter banks with high stop band attenuation greater than 100 dB is required. In [11], a simple design method for NUFBs was proposed It is based on the design of a uniform cosine modulated filter bank and is applicable only to non-uniform integer- decimated filter banks. It still involves complicated nonlinear optimization with large number of parameters. Zing et al [12] proposed interpolated FIR prototype filter to design the NUFB
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