我正在设计一个数字滤波器以放大低频,并且我使用了IIR任意幅度。代码如下:
% Acquisition Frequency
FreqAq = 1024;
% Low Frequency Gain
LFGain = 10^(14.4/20);
% Frequency Intervals
FreqIntv = [2 6 600]/FreqAq;
% Numerator Order
NumOrder = 40;
% Denominator Order
DenOrder = 45;
% Frequency Spectrum
Freq = linspace(0,FreqAq,FreqAq + 1)/FreqAq;
% Amplitude Design
bLF = log(1/LFGain)/(FreqIntv(1) - FreqIntv(2));
aLF = LFGain*exp(bLF*FreqIntv(1));
A = [LFGain*ones(1,find(Freq == FreqIntv(1))),...
aLF*exp(-bLF*Freq(find(Freq == FreqIntv(1)) + 1:find(Freq == FreqIntv(2)))),...
ones(1,find(Freq == FreqIntv(3)) - find(Freq == FreqIntv(2))),...
ones(1,length(Freq) - find(Freq == FreqIntv(3)))];
% Arbitrary response magnitude filter specification object
d = fdesign.arbmag('Nb,Na,F,A',NumOrder,DenOrder,Freq,A);
% Filter Weights
W = [ones(1,find(Freq == FreqIntv(1)))*1 ...
ones(1,length(Freq(find(Freq == FreqIntv(1)) + 1:find(Freq == FreqIntv(2)))))*.1 ...
ones(1,find(Freq == 10/FreqAq,1,'first') - find(Freq == FreqIntv(2)))*1 ones(1,find(Freq == FreqIntv(3)) - find(Freq == 10/FreqAq,1,'first'))...
ones(1,length(Freq) - find(Freq == FreqIntv(3)))*1];
% Filter Design
Hd = design(d, 'iirlpnorm', 'Weights', W, 'Norm', 2, 'DensityFactor',30,...
'SystemObject',true);
在过滤数据时,我没有得到预期的结果。
DataFiltered = sosfilt(Hd.SOSMatrix,Data)
为了验证我出了什么问题,
fvtool(Hd, 'MagnitudeDisplay','Magnitude (dB)', ...
'NormalizedFrequency','On','Color','White');
fvtool(Hd.SOSMatrix, 'MagnitudeDisplay','Magnitude (dB)', ...
'NormalizedFrequency','On','Color','White');
并且注意到第二个偏移了+ 35dB,这是用于滤波器的一个。
如果我过滤数据的方式不正确或者幅值的计算方式之间有差异,我似乎不明白我的代码有什么问题。任何信息将不胜感激!
谢谢。