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A Minimax Design Method for Alternating DFT Modulated Filter Banks

A technology of minimization, maximization and filter banks, which is applied in the direction of impedance network, digital technology network, electrical components, etc., can solve the problem that the frequency characteristics and reconstruction characteristics are difficult to be effectively controlled at the same time, so as to avoid high aliasing problems, Effects of suppressing aliasing errors and improving reconstruction performance

Active Publication Date: 2017-09-22
GUILIN UNIV OF ELECTRONIC TECH
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Problems solved by technology

[0004] What the present invention is to solve is the problem that the frequency characteristics and reconstruction characteristics of the existing over-sampled alternating DFT modulation filter banks are difficult to effectively control simultaneously, and a minimization and maximum design method for alternating DFT modulation filter banks is provided

Method used

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  • A Minimax Design Method for Alternating DFT Modulated Filter Banks
  • A Minimax Design Method for Alternating DFT Modulated Filter Banks
  • A Minimax Design Method for Alternating DFT Modulated Filter Banks

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Embodiment Construction

[0043] A minimum-maximum design method for alternating DFT modulated filter banks, comprising the steps of:

[0044] Step 1: The structure of the alternating DFT modulated filter bank is as figure 1 As shown, each subband filter of this alternating DFT modulated filter bank is expressed as a function of the prototype filter:

[0045]

[0046] In the formula, W M =e -j2π / M , M is the number of channels of the filter bank, p 0 (n) and p 1 (n) is the impulse response or coefficient of the two analytical prototype filters, q 0 (n) and q 1 (n) is the impulse response or coefficient of the two synthetic prototype filters.

[0047] Step 2: Convert the passband flatness of the prototype filter to the coefficient p of the prototype filter i ,q i The equality constraints for :

[0048]

[0049]

[0050] In the formula, i=0,1,p i is the coefficient of the i-th analysis prototype filter, q i is the coefficient of the i-th synthesis prototype filter, and K is the sampling...

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Abstract

The invention discloses a minimum-maximum design method for an alternating DFT modulation filter bank. By transforming the reconstruction characteristics and frequency characteristic requirements of an oversampled DFT modulation filter bank into a function of the prototype filter coefficients, and then according to the design It is required to convert the design problem of alternating DFT modulation filter banks into a constrained optimization problem, and finally use the minimax algorithm to solve the optimal coefficients of the prototype filter. For the first time, the present invention introduces the way of aliasing component cancellation to control aliasing errors in the design of oversampling DFT modulation filter banks, so that aliasing errors can be effectively suppressed, thereby improving reconstruction performance and avoiding High aliasing issues due to band attenuation.

Description

technical field [0001] The invention belongs to the field of multi-rate signal processing, and in particular relates to a minimization-maximum design method of an alternating DFT (discrete Fourier transform) modulation filter bank. Background technique [0002] Multi-rate filter banks are widely used in speech signal processing, image processing, radar signal processing and so on. As a special kind of filter bank, DFT modulated filter bank has received special attention because of its simple design and low implementation cost. In recent years, some scholars have constructed a new class of DFT modulated filter banks, called alternating DFT modulated filter banks. In this type of filter bank, the adjacent sub-band filters are obtained by DFT modulation of different prototype filters, so the shapes of their amplitude responses are different, which is beneficial to the suppression of aliasing distortion. Due to the contradiction between aliasing distortion cancellation and hig...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H03H17/02
Inventor 蒋俊正周芳欧阳缮谢跃雷程小磊江庆郭云
Owner GUILIN UNIV OF ELECTRONIC TECH
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