Design method of any amplitude-frequency response FIR (Finite Impulse Response) filter based on LMS (Least Mean Square)

A technology of amplitude-frequency response and design method, applied in the direction of adaptive network, impedance network, digital technology network, etc., can solve the problems of difficult engineering application and high algorithm complexity, and achieve easy engineering implementation, simple implementation and fast speed Effect

Pending Publication Date: 2021-11-19
成都玖锦科技有限公司
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Problems solved by technology

The current design methods (such as the best approximation method and the equal-ripple approximation method) have high algorithm complexity and difficult engineering applications, and are not suitable for the current scene

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  • Design method of any amplitude-frequency response FIR (Finite Impulse Response) filter based on LMS (Least Mean Square)
  • Design method of any amplitude-frequency response FIR (Finite Impulse Response) filter based on LMS (Least Mean Square)
  • Design method of any amplitude-frequency response FIR (Finite Impulse Response) filter based on LMS (Least Mean Square)

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Embodiment Construction

[0043] The conventional LMS algorithm performs adaptive filtering for signals. The present invention combines arbitrary amplitude-frequency response filter design with the LMS algorithm, and utilizes the LMS adaptive theory to iteratively obtain stable filter coefficients.

[0044] Different from the conventional LMS algorithm flow, the input signal is not a stationary random signal, but the frequency factor in the filter transfer function, and the expected signal is the required filter amplitude-frequency response. Since the frequency factor is limited, that is, the input length of the algorithm is limited, the present invention adopts a cyclic iteration method to finally obtain stable filter coefficients, so that its amplitude-frequency response is infinitely close to the expected amplitude-frequency response.

[0045] The design method provided by the invention is simple, fast, and easy to implement in engineering. It can be used in the design of band-pass filters and low-pa...

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Abstract

The invention provides a design method of any amplitude-frequency response FIR (Finite Impulse Response) filter based on LMS (Least Mean Square), the FIR filter is determined as a linear phase FIR filter, and the method comprises the following steps of: determining the coefficient length of the filter as an odd number or an even number, and selecting different amplitude-frequency response formulas of the FIR filter according to the coefficient length; determining an iterative model of an LMS algorithm according to the determined coefficient length of the filter; discretizing frequency points in a frequency band of the filter, and determining a sequence of the frequency points and amplitude pairs in the amplitude-frequency curve; and iterating the input value of each frequency point once until the iteration function converges. The design method provided by the invention is simple to implement, high in speed and easy for engineering implementation, can be used for designing a band-pass filter and a low-pass filter, has a linear phase, and compensates the unevenness error of the channel on the basis of not influencing the phase information of the signal so as to improve the signal quality.

Description

technical field [0001] The invention belongs to the technical field of filter design, in particular to an LMS-based design method of an FIR filter with arbitrary amplitude-frequency response. Background technique [0002] Amplitude flatness and phase linearity are important factors affecting receiver performance improvement. For receiving systems, spectrum analysis is the most basic and widely used function. The amplitude flatness in the passband affects the accuracy of amplitude measurement. After the design of the receiving system is completed, under the condition of known channel amplitude-frequency curve, how to design the compensation filter to control the in-band flatness of the receiver channel within the required tolerance range is a necessary and critical step. [0003] Common FIR filter design methods include window function method, optimal approximation method, equal-ripple approximation method, etc., and only the amplitude flatness in the band is required in the ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H03H17/00H03H21/00
CPCH03H17/00H03H21/0043H03H2017/0081H03H2021/0056
Inventor 杨金金邓耀辉曹绍峰郑立岗周科吉杨光红
Owner 成都玖锦科技有限公司
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