Rapid design method of DFT modulated filter bank

A filter bank and design method technology, applied in impedance networks, digital technology networks, electrical components, etc., can solve the problems of inability to quickly design large-scale, large filter bank distortion, and high computational complexity, and achieve accurate reconstruction. Simple and efficient , the effect of reducing complexity and reducing computational cost

Active Publication Date: 2015-04-29
GUILIN UNIV OF ELECTRONIC TECH
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Problems solved by technology

[0005] What the present invention will solve is that the design method of the existing DFT modulated filter bank has high computational complexity, and the designed filter bank has larger distortion and cannot quickly design large-scale (the number of channels of the filter bank and the support of the subband filter) are very large) filter bank problem, providing a fast design method for DFT modulated filter bank

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  • Rapid design method of DFT modulated filter bank
  • Rapid design method of DFT modulated filter bank
  • Rapid design method of DFT modulated filter bank

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example 1

[0096] Consider designing a 16-channel DFT modulation filter bank, its parameters are set to M=16, K=8, D=64, the length of the analysis and synthesis prototype filter is L h =L g = 65. In the design method provided by the present invention, the parameters are set to α=10 and β=0.2, δ=10 -5 In the design, the algorithm provided by the present invention only performed 5 iterations, which took 0.0078s in total, and only 0.0016s for a single iteration. However, under the same operating environment, the existing algorithm performed 5 iterations. At 0.016s, it takes 0.0032s for a single iteration. Figure 3(a) with 3(b) The amplitude response of the analysis and synthesis prototype filter obtained by the design of the present invention are respectively drawn, Figure 4 The performance indicators of the filter bank are listed, where ε t Represents the transfer function distortion, ε a Represents aliasing distortion. The stopband level SL refers to the maximum value of the normalized a...

example 2

[0098] Consider designing a large-scale DFT modulation filter bank. The parameters of the filter bank are: M=1024, K=512, D=4199, the length of the analysis and synthesis prototype filter is L h =L g = 6144. In the design, the parameters are α=10 and β=0.02δ=10 -5 . The algorithm designed by the present invention performed a total of 20 iterations, a total of 28.28s, and a single-step iteration only required 1.4s. Under the same operating environment, the existing algorithm was iterated 20 times, and a total of 2138.91s was used. One iteration requires 106.95s. The amplitude response of the analytical prototype filter obtained by the present invention is shown in Figure 5(a), and the amplitude response of the integrated prototype filter is shown in Figure 5(b). Image 6 The performance index of the filter bank is given. Experiments show that the algorithm provided by the present invention can quickly design a DFT modulation filter bank, and is suitable for the design of a fil...

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Abstract

The invention discloses a rapid design method of a DFT modulated filter bank. The rapid design method comprises the following steps: firstly, initializing an analysis prototype filter h0 according to the design requirements; obtaining a time domain condition free of transfer distortion or aliasing distortion according to a frequency domain condition free of transfer distortion or aliasing distortion; summarizing the design into an optimization problem free of constraint on the basis of the time domain frequency, wherein the target function is the weighted sum of transfer distortion, aliasing distortion and stopband energy of the prototype filter; rapidly solving an analysis prototype filter h and a comprehensive prototype filter g by a double iterative algorithm based on a matrix inversion equivalent condition according to the initialized analysis prototype filter h0; and modulating by the obtained prototype filter to obtain an overall filter bank. According to the rapid design method, the reconstruction error of the filter bank is relatively small; the overall performance of the filter tank is improved; the rapid design method is suitable for the conditions of overlarge number of filter bank channels and overlong sub-band filters; and the computation complexity is relatively low.

Description

Technical field [0001] The invention belongs to the field of filter bank design, and specifically relates to a fast design method of a DFT modulated filter bank. Background technique [0002] As the core content of multi-rate signal processing, filter banks have always attracted attention and are widely used in many fields such as sub-band coding, image denoising, and communication signal processing. A filter bank refers to a group of filters that have a common input or a common added output. A filter bank with one input signal and multiple output signals is called an analysis prototype filter bank, and a filter bank with multiple input signals and only one output signal is called a comprehensive prototype filter bank. When the signal passes through the analysis prototype filter bank, the signal is divided into different sub-bands for corresponding processing, and the sampling rate is reduced by decimation; then the signal is interpolated, and then the comprehensive prototype fi...

Claims

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Application Information

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IPC IPC(8): H03H17/02
Inventor 蒋俊正程小磊欧阳缮刘庆华谢跃雷江庆穆亚起郭云
Owner GUILIN UNIV OF ELECTRONIC TECH
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