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滤波器设计画廊

这个例子展示了如何设计各种FIR和IIR数字滤波器与designfilt功能在信号处理工具箱®产品。

图库的设计是为了让您识别感兴趣的过滤器响应,查看代码,并在您自己的项目中使用它。它包含了提供的每个可用筛选响应的示例designfilt。然而,请注意,这些只是为每种响应类型设计过滤器的几种可能方法。有关详细的规范集列表,请参阅信号处理工具箱文档。

除非另有说明,在本例中,所有频率单位均为赫兹,所有波纹和衰减值均为分贝。

低通FIR滤波器

Equiripple设计

成就= 100;Fstop = 150;apas = 1;Astop = 65;Fs = 1 e3;d = designfilt (“lowpassfir”,“PassbandFrequency”成就,“StopbandFrequency”Fstop,“PassbandRipple”apas,“StopbandAttenuation”Astop,“DesignMethod”,“equiripple”,“SampleRate”Fs);fvtool (d)

{

低通滤波器IIR滤波器

最大限度地平面设计

成就= 100;Fstop = 150;apas = 0.5;Astop = 65;Fs = 1 e3;d = designfilt (“lowpassiir”,“PassbandFrequency”成就,“StopbandFrequency”Fstop,“PassbandRipple”apas,“StopbandAttenuation”Astop,“DesignMethod”,“黄油”,“SampleRate”Fs);fvtool (d)

{

Passband和Stopband中的Ripple

N = 8;成就= 100;apas = 0.5;Astop = 65;Fs = 1 e3;d = designfilt (“lowpassiir”,“FilterOrder”N“PassbandFrequency”成就,“PassbandRipple”apas,“StopbandAttenuation”Astop,“SampleRate”Fs);fvtool (d)

{

高通的FIR滤波器

Equiripple设计

Fstop = 350;成就= 400;Astop = 65;apas = 0.5;Fs = 1 e3;d = designfilt (“highpassfir”,“StopbandFrequency”Fstop,“PassbandFrequency”成就,“StopbandAttenuation”Astop,“PassbandRipple”apas,“SampleRate”Fs,“DesignMethod”,“equiripple”);fvtool (d)

{

高通的IIR滤波器

最大限度地平面设计

Fstop = 350;成就= 400;Astop = 65;apas = 0.5;Fs = 1 e3;d = designfilt (“highpassiir”,“StopbandFrequency”Fstop,“PassbandFrequency”成就,“StopbandAttenuation”Astop,“PassbandRipple”apas,“SampleRate”Fs,“DesignMethod”,“黄油”);fvtool (d)

{

Passband和Stopband中的Ripple

N = 8;成就= 400;Astop = 65;apas = 0.5;Fs = 1 e3;d = designfilt (“highpassiir”,“FilterOrder”N“PassbandFrequency”成就,“StopbandAttenuation”Astop,“PassbandRipple”apas,“SampleRate”Fs);fvtool (d)

{“字符串”:“图图6:量级响应(dB)包含一个轴对象。标题为幅度响应(dB)的轴对象包含2个类型为line.

带通FIR滤波器

Equiripple设计

Fstop1 = 150;Fpass1 = 200;Fpass2 = 300;Fstop2 = 350;Astop1 = 65;apas = 0.5;Astop2 = 65;Fs = 1 e3;d = designfilt (“bandpassfir”,“StopbandFrequency1”Fstop1,“PassbandFrequency1”Fpass1,“PassbandFrequency2”Fpass2,“StopbandFrequency2”Fstop2,“StopbandAttenuation1”Astop1,“PassbandRipple”apas,“StopbandAttenuation2”Astop2,“DesignMethod”,“equiripple”,“SampleRate”Fs);fvtool (d)

{

不对称带衰减

N = 50;Fstop1 = 150;Fpass1 = 200;Fpass2 = 300;Fstop2 = 350;Wstop1 = 3;Wstop2 = 100;Fs = 1 e3;d = designfilt (“bandpassfir”,“FilterOrder”N“StopbandFrequency1”Fstop1,“PassbandFrequency1”Fpass1,“PassbandFrequency2”Fpass2,“StopbandFrequency2”Fstop2,“StopbandWeight1”Wstop1,“StopbandWeight2”Wstop2,“DesignMethod”,“equiripple”,“SampleRate”Fs);fvtool (d)

{

带通IIR滤波器

最大限度地平面设计

Fstop1 = 150;Fpass1 = 200;Fpass2 = 300;Fstop2 = 350;Astop1 = 65;apas = 0.5;Astop2 = 65;Fs = 1 e3;d = designfilt (“bandpassiir”,“StopbandFrequency1”Fstop1,“PassbandFrequency1”Fpass1,“PassbandFrequency2”Fpass2,“StopbandFrequency2”Fstop2,“StopbandAttenuation1”Astop1,“PassbandRipple”apas,“StopbandAttenuation2”Astop2,“DesignMethod”,“黄油”,“SampleRate”Fs);fvtool (d)

{“String”:“图图9:量级响应(dB)包含一个轴对象。标题为幅度响应(dB)的轴对象包含2个类型为line.

Passband和Stopband中的Ripple

N = 8;Fpass1 = 200;Fpass2 = 300;Astop1 = 65;apas = 0.5;Astop2 = 65;Fs = 1 e3;d = designfilt (“bandpassiir”,“FilterOrder”N“PassbandFrequency1”Fpass1,“PassbandFrequency2”Fpass2,“StopbandAttenuation1”Astop1,“PassbandRipple”apas,“StopbandAttenuation2”Astop2,“SampleRate”Fs);fvtool (d)

图10:量级响应(dB)包含一个坐标轴对象。标题为幅度响应(dB)的轴对象包含2个类型为line.

Bandstop FIR滤波器

Equiripple设计

Fpass1 = 100;Fstop1 = 150;Fstop2 = 350;Fpass2 = 400;Apass1 = 0.5;Astop = 65;Apass2 = 0.5;Fs = 1 e3;d = designfilt (“bandstopfir”,“PassbandFrequency1”Fpass1,“StopbandFrequency1”Fstop1,“StopbandFrequency2”Fstop2,“PassbandFrequency2”Fpass2,“PassbandRipple1”Apass1,“StopbandAttenuation”Astop,“PassbandRipple2”Apass2,“DesignMethod”,“equiripple”,“SampleRate”Fs);fvtool (d)

{

不对称的通带波纹

N = 30;Fpass1 = 100;Fstop1 = 150;Fstop2 = 350;Fpass2 = 400;Wpass1 = 1;Wpass2 = 10;Fs = 1 e3;d = designfilt (“bandstopfir”,“FilterOrder”N“PassbandFrequency1”Fpass1,“StopbandFrequency1”Fstop1,“StopbandFrequency2”Fstop2,“PassbandFrequency2”Fpass2,“PassbandWeight1”Wpass1,“PassbandWeight2”Wpass2,“DesignMethod”,“equiripple”,“SampleRate”Fs);fvtool (d)

{“String”:“图图12:量级响应(dB)包含一个轴对象。标题为幅度响应(dB)的轴对象包含2个类型为line.

Bandstop IIR滤波器

最大限度地平面设计

Fpass1 = 100;Fstop1 = 150;Fstop2 = 350;Fpass2 = 400;Apass1 = 0.5;Astop = 65;Apass2 = 0.5;Fs = 1 e3;d = designfilt (“bandstopiir”,“PassbandFrequency1”Fpass1,“StopbandFrequency1”Fstop1,“StopbandFrequency2”Fstop2,“PassbandFrequency2”Fpass2,“PassbandRipple1”Apass1,“StopbandAttenuation”Astop,“PassbandRipple2”Apass2,“DesignMethod”,“黄油”,“SampleRate”Fs);fvtool (d)

{“String”:“图图13:量级响应(dB)包含一个坐标轴对象。标题为幅度响应(dB)的轴对象包含2个类型为line.

Passband和Stopband中的Ripple

N = 8;Fpass1 = 125;Fpass2 = 375;apas = 0.5;Astop = 65;Fs = 1 e3;d = designfilt (“bandstopiir”,“FilterOrder”N“PassbandFrequency1”Fpass1,“PassbandFrequency2”Fpass2,“PassbandRipple”apas,“StopbandAttenuation”Astop,“SampleRate”Fs);fvtool (d)

{

任意幅度FIR滤波器

单波段任意震级设计

N = 300;%频率为归一化单位F1 = 0:0.01:0.18;F2 =[。2 .38 .4 .55 .562 .585 .6 .78];F3 = 0.79:0.01:1;FreqVect = [F1 F2 F3];频率的%矢量使用线性单位定义期望的响应A1罪= 5 +(2 * 7.5π* * F1) / 4;%正弦部分A2 =[。5 2.3 1 1 -。2 -。2 1 1];%分段线性部分A3 = 2 + 18 * (1-F3)。^ 2;%二次部分AmpVect = [A1 A2 A3];d = designfilt (“arbmagfir”,“FilterOrder”N“振幅”AmpVect,“频率”FreqVect,“DesignMethod”,“freqsamp”);fvtool (d,“MagnitudeDisplay”,“零”)

{

多波段低通设计,阻带上有阶梯衰减电平

N = 150;B = 2;%频带数%频率为归一化单位F1 = [0 .25];%通频带F2 =[。3 .4 .401 .5 .501 .6 .601 .7 .701 .8 .801 .9 .901 1];%阻带A1 = 1(大小(F1));以线性单位表示的波段1的期望振幅A2 = 0(大小(F2));以线性单位表示波段2的期望振幅%权重向量W = 10。^([0 0 5 5 10 10 15 15 20 20 25 25 30 30 35 35]/20);W1 = W (1:2);% 1级权重W2 = W(3:结束);%波段2的权重d = designfilt (“arbmagfir”,“FilterOrder”N“NumBands”B“BandFrequencies1”F1,“BandAmplitudes1”A1,“BandFrequencies2”F2,“BandAmplitudes2”A2“BandWeights1”W1,“BandWeights2”W2);fvtool (d)

{“String”:“图图16:量级响应(dB)包含一个坐标轴对象。标题为幅度响应(dB)的轴对象包含2个类型为line.

微分器FIR滤波器

全带设计

N = 41;Fs = 1 e3;d = designfilt (“differentiatorfir”,“FilterOrder”N“DesignMethod”,“equiripple”,“SampleRate”Fs);fvtool (d,“MagnitudeDisplay”,“零”,“OverlayedAnalysis”,“阶段”)

{

部分带设计

N = 40;成就= 100;Fstop = 150;Fs = 1 e3;d = designfilt (“differentiatorfir”,“FilterOrder”N“PassbandFrequency”成就,“StopbandFrequency”Fstop,“DesignMethod”,“equiripple”,“SampleRate”Fs);fvtool (d,“MagnitudeDisplay”,“零”,“OverlayedAnalysis”,“阶段”)

{

希尔伯特FIR滤波器

Equiripple设计

N = 40;Tw = 50;Fs = 1 e3;d = designfilt (“hilbertfir”,“FilterOrder”N“TransitionWidth”Tw,“DesignMethod”,“equiripple”,“SampleRate”Fs);fvtool (d,“MagnitudeDisplay”,“零”,“OverlayedAnalysis”,“阶段”)

{

另请参阅

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