A new approach to the design of critically sampled M-channel uniform-band perfect-reconstruction linear-phase FIR filter banks

Saghizadeh, P.; Willson, A.N.

doi:10.1109/78.678467

Cited by 20 publications

(15 citation statements)

References 21 publications

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“…We can take KLT as horizontal multi-channel wavelets transform (MCWT) [15] with equal filter length and channel number. Accordingly, each basis vector of a KLT matrix can be viewed as a channel.…”

Section: Overview and Motivationmentioning

confidence: 99%

The training of Karhunen–Loève transform matrix and its application for H.264 intra coding

Gao

Chen

et al. 2008

Multimed Tools Appl

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In H.264/AVC, 4 × 4 discrete cosine transform (DCT) is performed on the residual signals after intra prediction for decorrelation. Actually, residual blocks with different prediction modes exhibit different frequency characteristics. Therefore, the fixed transform matrix cannot match the energetic distribution of residual signals very well, which degrades the decorrelation performance. Fortunately, the energetic distributions of residual blocks with the same mode are relatively coincident, which makes it possible to train a universally good Karhunen-Loève transform (KLT) matrix for each mode. In this paper, an optimal frequency matching (OFM) algorithm is proposed to train KLT matrices for residual blocks and nine KLT matrices corresponding to nine prediction modes of 4 × 4 intra blocks are trained. Experimental results show that KLT with trained matrices yields a persistent gain over H.264 using 4 × 4 DCT with an average peak signal-to-noise ratio (PSNR) enhancement of 0.22dB and a maximum enhancement of 0.33dB.

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Section: Overview and Motivationmentioning

confidence: 99%

The training of Karhunen–Loève transform matrix and its application for H.264 intra coding

Gao

Chen

et al. 2008

Multimed Tools Appl

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“…As the uniform PR LP original and recombination FBs will be designed using the method in [15], we now shall briefly review this method below. …”

Section: Design Of Uniform Pr Lp Uniform Filter Banksmentioning

confidence: 99%

“…Among the existing methods for designing M-channel PR LP uniform FBs [7][8][9][10][11][12][13][14][15], the modulation-based approach is probably the simplest to apply [7][8][9]. However, the frequency support of these FBs is considerably different from that of uniform FBs.…”

Section: Introductionmentioning

confidence: 99%

“…Unfortunately, the frequency response becomes a very nonlinear function of a large number of lattice parameter, making the design very complicated and somewhat difficult to obtain good results as the filter length increases. In [15], a direct method for designing M-channel PR LP uniform FBs was proposed. By choosing properly the synthesis and analysis filters, the aliasing is first cancelled and the number of design variables can be reduced.…”

Section: Introductionmentioning

confidence: 99%

“…With these conditions being satisfied, the design of LP PR NUFBs can be decomposed into the individual design of a set of PR LP uniform FBs, which greatly reduce the design complexity. The original and recombination FBs are then designed by the method in [15]. We also present several…”

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confidence: 99%

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Design of perfect-reconstruction nonuniform recombination filter banks with flexible rational sampling factors

Xie¹,

Chan²,

Yuk³

2005

IEEE Trans. Circuits Syst. I

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This paper proposes a new method for designing nonuniform filter banks (NUFBs) with perfectreconstruction (PR) and linear-phase (LP) properties. It is based on the recombination structure, where the outputs of the analysis filters in a uniform original filter bank (FB) INTRODUCTIONThe theory and design of nonuniform filter banks (NUFBs) have received considerable attention due to their flexibility in subband partitioning and processing. In applications where phase distortion is an important concern, filter banks with linear-phase (LP) analysis and synthesis are highly desirable. For example, in image processing, LP filter banks (FBs) are frequently employed to avoid possible phase distortion. Among the various methods for designing NUFBs, only a few are applicable to the design of NUFBs satisfying the LP property [1][2][3], [6]. The tree-structure FB is a simple method for realizing PR LP NUFBs, but the choice of the decimation factors is usually limited and the system delay is rather long due to the cascade nature of the tree structure. Another class of design method is based on the direct structure in [1][2][3], where the analysis filters are designed directly [1] or by mean of iterative optimization algorithm. In channel number in order to generate subbands with different decimation factors. The advantage of the RNUFB is that the PR property is structurally imposed as long as the original uniform FB and the recombination FBs are PR. In [5,17] the theory and design of PR cosine-modulated RNUFBs are studied in detail. Due to large number of design variables and hence complexity associated with a general NUFB, even LP FBs are difficult to design in practice. The use of cosine modulatd FBs (CMFBs) greatly reduces the number of design variables and complexity. Consequently, high quality PR RNUFBs can be obtained. In [6], the design of linear phase RNUFBs is considered where a matching condition for orthogonal PR FBs was derived. However, due to the difficulties in designing LP original and recombination FBs with large number of channels, the RNUFBs so obtained are nearly PR.We note that the key difficulty in obtaining LP RNUFBs hinges on a design of the original and recombination PR LP FBs in the recombination structure. Among the existing methods for designing M-channel PR LP uniform FBs [7][8][9][10][11][12][13][14][15], the modulation-based approach is probably the simplest to apply [7][8][9]. However, the frequency support of these FBs is considerably different from that of uniform FBs. Therefore, it may not be suitable in RNUFBs. The lattice structure is another popular method for designing PR LP FBs, since the PR and linear phase property can be structural imposed [10][11][12][13][14]. Unfortunately, the frequency response becomes a very nonlinear function of a large number of lattice parameter, making the design very complicated and somewhat difficult to obtain good results as the filter length increases. In [15], a direct method for designing M-channel PR LP uniform FBs was proposed. By choosing...

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A realization method of cyclic filter banks

Itami

Watanabe

Nishihara

2007

Electron Comm Jpn Pt III

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SUMMARYIn recent years theories on filter banks (cyclic filter banks) in cyclic LTI systems have been proposed. Not only are cyclic filter banks that use cyclic convolution suitable for processes such as picture signals (finite signals), the design of cyclic filter banks is also limited to specific discrete frequency points. Consequently, there are advantages such as greater freedom of design compared to filter banks (noncyclic filter banks) in noncyclic LTI systems which use conventional linear convolution. Definite design methods have been given which realize a two-partition construction as a cyclic filter bank with linear phase characteristics and orthogonality at the same time not possible in conventional noncyclic filter banks up to the present. Other than this, there have been no discussions on multipartition construction utilizing, for example, a modulated structure, methods that utilize various other advantages which can obtain a cyclic LTI system, or discussions on problems which can be solved by these. Based on this, we propose one method to achieve a cyclic filter bank in this paper. We propose a configuration that uses DFT modulation. To start with, we lead with polyphase expressions of cyclic filter banks that use DFT modulation and then present complete reconstruction conditions. We subsequently mention that the complete reconstruction conditions are given as a linear equation whose synthesized coefficients are unknown parameters by means of using a resolution given beforehand. Next, we examine the essential properties of a cyclic LTI system and then describe the advantages of this configuration method obtained by means of using these properties. Finally, we provide a design example of the proposed cyclic filter bank and show that a cyclic filter bank can be configured with DFT modulation. In addition, we mention the combined effects when dividing and synthesizing image signals based on applying this method to image compression applications. © 2007 Wiley Periodicals, Inc. Electron Comm Jpn Pt 3, 90(5): 9-18, 2007; Published online in Wiley InterScience (www.interscience. wiley.com).

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A new approach to the design of critically sampled M-channel uniform-band perfect-reconstruction linear-phase FIR filter banks

Cited by 20 publications

References 21 publications

The training of Karhunen–Loève transform matrix and its application for H.264 intra coding

The training of Karhunen–Loève transform matrix and its application for H.264 intra coding

Design of perfect-reconstruction nonuniform recombination filter banks with flexible rational sampling factors

A realization method of cyclic filter banks

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