Digital filter analytical design method and filter thereof

Abstract

The present invention relates to the technical field of digital signal processing, in order to automatically eliminate the overshoot of the all-phase filter without introducing iterative optimization measures, and finally generate a high-efficiency and high-performance FIR filter design method that fully realizes the analytical design in the whole process , and given to the digital signal processor to achieve. The technical scheme that the present invention adopts is, digital filter analytical design method and filter thereof, and step is as follows: Step 1. determine boundary frequency integer parameter value; Step 2. obtain a length and be the convolution window w of 2N-1 c (n); Step 3. The parameters M, N and convolution window w c (n) Substitute directly into the following analytical formula to obtain the filter coefficient g(n); Step 4. Calculate the Lichtenberg ratio frequency point The amplitude-frequency response at ; Step 5. Substitute T=1-(Q-1)=2-Q into the following improved analytical formula to calculate the final filter that can eliminate overshoot. The invention is mainly applied to digital signal processing occasions.

Description

technical field [0001] The invention relates to the technical field of digital signal processing, in particular to an FIR filter analytical design method based on Lichtenberg ratio. Background technique [0002] In the design of finite impulse response filter (Finite Impulse Response Filter, FIR filter), it has always been a technical problem to take into account the good transmission performance of the filter (that is, to ensure that the passband ripple is small enough and the stopband attenuation is large enough) and the design efficiency of the filter. Whether it is the classical filter design method, the classical optimization design method, or the modern filter evolutionary design method, this problem is very prominent. [0003] Classical filter design methods, such as the window function method, can set the boundary frequency band parameter ω c Substituting directly into the ideal filter formula to obtain the filter coefficients, but because the ideal filter coefficie...

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Problems solved by technology

[0007] However, the existing all-phase filter design method has a defect, that is, there is an overshoot near the passband boundary and the stopband boundary of the transmission curve (that is, there is a certain degree of Gibbs effect), and if these two overshoots are not removed , will affect the performance of audio and video signal processing, software radio, multi-speed signal processing, etc.

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