Design method of self-adaptive Butterworth low-pass digital filter
A technology of digital filter and low-pass filter, applied in the direction of digital technology network, impedance network, electrical components, etc., can solve the problems of fast frequency change, large frequency change range, increased hardware complexity and cost, etc., to achieve enhanced Stability, the effect of improving accuracy
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[0047] The present invention proposes an adaptive Butterworth low-pass digital filter design method in which the cutoff frequency is continuously adjusted with the fundamental frequency of the detected signal, which is used for anti-aliasing filtering of the AC voltage and current signals in the frequency conversion AC power supply system , the basic principle of the method is:
[0048] (1) Express the coefficients of the numerator and denominator polynomials of the discretized (z-domain) Butterworth low-pass filter transfer function as the sampling step size T s and cutoff frequency w c Product function.
[0049] Assume that the transfer function of the Butterworth low-pass filter after discretization is:
[0050]
[0051] Among them, n m , n m-1 …n 1 , n 0 and d m 、d m-1 … d 1 、d 0 respectively H a The coefficients of the numerator and denominator polynomials in (z) are both T s w c and its functions from 2 to the m power.
[0052] (2) H a In (z), the denom...
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