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Digital all-pass filter design method based on L-M algorithm

An all-pass filter and design method technology, applied in computer-aided design, electrical digital data processing, instruments, etc., can solve the problems of system output influence, signal distortion, etc., to improve design accuracy, increase flexibility, and high compensation accuracy Effect

Active Publication Date: 2021-10-22
UNIV OF ELECTRONICS SCI & TECH OF CHINA
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  • Abstract
  • Description
  • Claims
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Problems solved by technology

[0002] In the analog-digital hybrid electronic system, when the electrical signal is transmitted in the system, due to the non-ideal characteristics of the channel or the analog circuit, a certain nonlinear phase distortion will be introduced, and different phase shifts will be added to the signals of different frequencies, which will affect the output of the system. There is a greater impact, and the signal will be distorted in severe cases

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  • Digital all-pass filter design method based on L-M algorithm
  • Digital all-pass filter design method based on L-M algorithm
  • Digital all-pass filter design method based on L-M algorithm

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Embodiment

[0049] figure 1 This is the flow chart of the digital all-pass filter design method based on the L-M algorithm of the present invention.

[0050] In this embodiment, as figure 1 As shown, a digital all-pass filter design method based on the L-M algorithm of the present invention includes the following steps:

[0051] S1. First, according to the digital all-pass filter actually designed, the target group delay GD of the digital all-pass filter needs to be set goal (ω) or GD goal (ω k ), where ω denotes a continuous digital angular frequency uniformly distributed in [0,π], ω k Represents K discrete digital angular frequencies uniformly distributed in [0,π];

[0052] S2. Calculate the target group delay and GD sum ;

[0053] or

[0054] Among them, Δω is the frequency interval of discrete digital angular frequency;

[0055] S3. Set the order L of the digital all-pass filter, and the selection of L satisfies: GD sum ≤2πL;

[0056] S4. In order to obtain higher desig...

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Abstract

The invention discloses a digital all-pass filter design method based on an L-M algorithm, and the method comprises the steps: setting the target group time delay of a digital all-pass filter according to the design requirements, and then setting the order L of the digital all-pass filter through calculating the target group time delay and GDsum; secondly, calculating the time delay design target of the digital all-pass filter after the fixed bias is added by dividing the digital all-pass filter into L frequency intervals FB1, determining the boundary value of each FB1, and constructing a vector through the pole modulus value and the phase angle of the second-order section of the digital all-pass filter corresponding to each FB1 interval; then calculating the group delay of the digital all-pass filter; and finally, optimizing the parameters of the Al and the thetaI by using a Levenberg-Marquardt algorithm according to a minimum mean square error E(U) criterion to complete the design of the digital all-pass filter.

Description

technical field [0001] The invention belongs to the technical field of digital filters, and more specifically, relates to a digital all-pass filter design method based on L-M (Levenberg-Marquardt, Levenberg-Marquardt) algorithm. Background technique [0002] In the analog-digital hybrid electronic system, when the electrical signal is transmitted in the system, due to the non-ideal characteristics of the channel or the analog circuit, a certain nonlinear phase distortion will be introduced, and different phase shifts will be added to the signals of different frequencies, which will affect the output of the system. There is a greater impact, and the signal will be distorted in severe cases. Therefore, for systems that require strictly linear phase, such as phased array radar, digital oscilloscope and other systems, the nonlinear compensation of phase is very important. [0003] The digital all-pass filter can change the phase characteristics of the digital signal, and then e...

Claims

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Application Information

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IPC IPC(8): G06F30/373G06F17/12G06F17/13G06F17/15G06F17/16
CPCG06F30/373G06F17/12G06F17/13G06F17/15G06F17/16
Inventor 赵禹孟婕叶芃杨扩军张沁川黄武煌
Owner UNIV OF ELECTRONICS SCI & TECH OF CHINA