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Design method of near-perfect reconstruction mono-prototype DFT modulated filter bank

A prototype filter and filter bank technology, applied in the direction of impedance network, digital technology network, electrical components, etc., can solve the problems of poor overall performance and high computational complexity of DFT modulated filter banks, and achieve easy solution and low scale Effect

Inactive Publication Date: 2016-11-23
GUILIN UNIV OF ELECTRONIC TECH
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  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0004] What the present invention aims to solve is the problem that the existing single-type DFT modulation filter bank design method has high computational complexity, and the overall performance of the designed DFT modulation filter bank is poor. It provides an approximately completely reconstructed single-type DFT modulation How to design a filter bank

Method used

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  • Design method of near-perfect reconstruction mono-prototype DFT modulated filter bank
  • Design method of near-perfect reconstruction mono-prototype DFT modulated filter bank
  • Design method of near-perfect reconstruction mono-prototype DFT modulated filter bank

Examples

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example 1

[0085] Example 1: the parameters of the filter bank to be designed are: M=7, K=3, N=20, D=21 at first utilize the semi-definite programming method that the people such as Wibur M R proposes to design, and wherein distortion parameter is set to ε r =2×10 -8 . Utilize the inventive method to design then, wherein relevant parameter is set to: ξ=1*10 -4 , δ=1×10 -5 , set ρ=0.1 for the initial iteration, and then set ρ to 1 / 10 of the previous value in each step of iteration. The method of the present invention only needs 3 iterations to obtain the final result. image 3 The magnitude responses of the prototype filters designed by the two methods are plotted. Table 1 lists the relevant performance indicators. It can be seen from the table that the reconstruction error of the filter bank designed by the method of the present invention is about 18dB lower than that of the semidefinite programming method. In order to restore the original signal without distortion as much as possi...

example 2

[0088] Example 2: design a DFT modulation filter bank, wherein M=16, K=8, N=75, D=74, in the present invention's design method: ξ=1 * 10 -4 , δ=1×10 -5 , the initial iteration set ρ=0.01, and in each subsequent iteration, ρ was set to 1 / 10 of the previous value. The method of the present invention has just obtained final result with 3 iterations. At the same time, the method published by Jang J Z in "Signal Processing, IET" "Efficient design of very large-scale DFT modulated filter banks using Mth band condition" is used for design, and the relevant parameters are set as: α=1, η=1×10 -5 . The magnitude response of the prototype filter obtained by the two methods is as follows: Figure 4 shown. Table 2 shows the performance index comparison of the two design methods. It can be seen that the reconstruction error of the filter bank designed by the method of the present invention is reduced by about 1 dB.

[0089] Table 2

[0090]

[0091] The invention obtains a filter ...

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Abstract

The invention discloses a design method of a near-perfect reconstruction mono-prototype DFT modulated filter bank. According to the design method, a filter bank with good overall performance is obtained by relieving the transmission distortion of the filter bank and stopband attenuation of a prototype filter. The design problem of the prototype filter is resolved into an optimization problem with constraint, stopband energy of the prototype filter serves as an objective function, transmission distortion of the filter bank serves as the constraint, and the prototype filter is solved with the iterative method. Reconstruction errors of the filter bank reach a low level through many times of iteration. The design method provides a simple and efficient solution for the near-perfect reconstruction mono-prototype DFT modulated filter bank.

Description

technical field [0001] The invention belongs to the field of filter bank design, and in particular relates to a design method for an approximately completely reconstructed single-type DFT modulation filter bank. Background technique [0002] Filter banks are widely used in many fields such as speech and image processing, adaptive filtering, noise suppression, and communication systems. For a filter bank with a general structure, it is often necessary to design filters for each sub-band separately, and the optimization scale is relatively large, making it difficult to realize. The proposal of modulated filter bank effectively solves this problem, because this kind of filter bank only needs to design the prototype filter. Cosine modulated filter banks and DFT modulated filter banks are two main types of modulated filter banks. Among them, the DFT modulation filter bank can divide the positive and negative frequencies of the signal into different sub-bands for processing, so ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H03H17/02
CPCH03H17/0202H03H2017/021
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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