A Realization Method of Polynomial Fitting Digital Filter

Abstract

The invention provides a method for implementing a polynomial fitting digital filter, and relates to the technical field of digital filters, comprising: step 1, obtaining an impulse response functionh(t) of a corresponding filter according to an index requirement; step 2, performing curve fitting on the impulse response function h(t) to obtain a fitting polynomial p(t); step 3, discretizing the fitting polynomial p(t) sample to obtain a filter discrete impulse response p(n); step 4, performing m+1 order difference on the discrete impulse response p(n) to obtain the differential output coefficient p(m+1)(n); step 5, convolving the differential output coefficient p(m+1)(n) with the input excitation signal x(n) to obtain m+1 order differential output y(m+1)(n); and step 6, performing (m+1)thaccumulation of the y(m+1)(n) to obtain the filter system output y(n). When polynomial amplitude-frequency and phase-frequency response curve output by implementing the digital filter provided by theinvention tends to be consistent with the ideal impulse response curve, the number of multipliers used in the digital filter system is small, which greatly reduces resources and costs, and improves the output y(n) rate of the filter system.

Description

technical field [0001] The invention relates to a method for realizing a digital filter, in particular to a method for realizing a polynomial fitting digital filter. Background technique [0002] In the field of signal processing, the requirements for real-time and rapidity of signal processing are getting higher and higher. In many information processing processes, such as filtering, detecting, and predicting signals, filters are widely used. Among them, the digital filter has many outstanding advantages such as high stability, high precision, flexible design, and convenient implementation, and avoids problems such as voltage drift, temperature drift, and noise that cannot be overcome by analog filters. Therefore, with the development of digital technology, The use of digital technology to realize the function of the filter has attracted more and more people's attention and has been widely used. In the process of signal processing system development, the design of digital...

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Problems solved by technology

[0007] In order to overcome the existing problem that a digital filter usually has dozens of orders, the present invention needs dozens of multipliers to complete the signal transmission or signal processing according to the technical requirements, consume more resources and reduce the speed of the digital filter. Technical problem; The invention provides a kind of realization method of polynomial fitting digital filter;

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