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Design method of qmf group based on hybrid iterative technique of all-pass filter

An all-pass filter and design method technology, applied in digital technology network, frequency selective two-terminal pair network, electrical components and other directions, can solve the complex calculation, without considering the phase error of the all-pass filter, the stop-band error of the low-pass filter and other problems to achieve the effect of reducing the complexity, ensuring the overall phase error, and reducing the difficulty of solving

Active Publication Date: 2021-10-08
HANGZHOU DIANZI UNIV
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Problems solved by technology

This algorithm borrows the method of designing FIR with equal ripples to get the all-pass filter, but its calculation is extremely complicated, and this algorithm does not consider the phase error of the all-pass filter and pure delay synthesis and the resistance of the obtained low-pass filter. with error

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  • Design method of qmf group based on hybrid iterative technique of all-pass filter

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Embodiment Construction

[0065] Below in conjunction with accompanying drawing, the present invention is further explained; Based on the QMF group design method of all-pass filter hybrid iterative technique, specifically comprise the following steps:

[0066] Step 1. Determine the basic parameters

[0067] The order of the two all-pass filters in the filter bank is N 1 =11,N 2 =10, the number of frequency points on the full frequency band L=8N 1 +1, the passband cut-off frequency of the low-pass filter ω p =0.4π, stop band cut-off frequency ω s =0.6π; minimize the reconstruction error and maximize the stopband attenuation.

[0068] Step 2. Determine the actual phase difference

[0069] Determine the ideal phase of the filter, calculate the actual phase error of the filter, and then determine the actual phase error of the filter bank distortion transfer function.

[0070] Step 3. Solve the filter coefficients

[0071] The objective function is set, and the denominator and numerator of the nonlin...

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Abstract

The invention discloses a QMF group design method based on the all-pass filter hybrid iteration technology. The method includes determining the number of filters, order number, cut-off frequency and ideal phase of each filter according to the design objective. The actual phase and the actual phase difference of the filter are then calculated to obtain the actual phase difference of the overall distortion function. The linearization of the denominator and numerator of the objective function is completed through LSK processing and alternate iteration methods, and then the filter coefficients are obtained through the CVX toolkit. Finally, judge whether the result meets the design requirements, and if not, correct the weighted value and re-iterate. This method reduces the complexity and difficulty of solving the formulas in the design process through mathematical processing, and combines different means of nonlinear processing methods to control the overall phase error and stop band amplitude error of the filter bank within the required range.

Description

technical field [0001] The invention belongs to the technical field of digital signal processing, and in particular relates to a design method of a quadrature mirror filter bank based on an all-pass filter alternate hybrid iteration technique. Background technique [0002] After decades of development, digital signal processing systems have replaced analog systems in various devices in life, such as mobile communication systems, consumer electronics and automotive electronics, or hearing aids. The filter is an indispensable basic component in the digital system, and its function directly or indirectly affects the performance of the entire digital system. [0003] The role of filter banks has become more and more important in the last two decades, mainly because of the development of digital technology, the processing of signals by a single channel can no longer meet people's needs, and the emergence of filter banks can help people divide a signal into multiple channels. Sub...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H03H11/12H03H17/02
CPCH03H11/12H03H17/02
Inventor 王浩李祥振张福洪欧毅严建阳赵晨子李伟琪赵知劲
Owner HANGZHOU DIANZI UNIV
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