Galería de diseño de filtros
Este ejemplo muestra cómo diseñar una variedad de filtros FIR e IIR digitales con la función designfilt en el producto Signal Processing Toolbox®.
La galería está diseñada para que identifique una respuesta de filtro de interés, vea el código y la utilice en su proyecto. Contiene ejemplos para cada respuesta de filtro disponible que ofrece designfilt. Observe, no obstante, que estas son solo unas pocas de las formas posibles de diseñar filtros para cada tipo de respuesta. Para ver una lista exhaustiva de conjuntos de especificaciones, consulte la documentación de Signal Processing Toolbox.
Excepto cuando se indique lo contrario, en este ejemplo todas las unidades de frecuencia se representan en hercios y todos los valores de ondulación y atenuación, en decibelios.
Filtros FIR paso bajo
Diseño equiripple
Fpass = 100; Fstop = 150; Apass = 1; Astop = 65; Fs = 1e3; d1 = designfilt("lowpassfir", ... PassbandFrequency=Fpass, ... StopbandFrequency=Fstop, ... PassbandRipple=Apass, ... StopbandAttenuation=Astop, ... DesignMethod="equiripple", ... SampleRate=Fs); filterAnalyzer(d1)
Filtros IIR paso bajo
Diseño lo más plano posible
Fpass = 100; Fstop = 150; Apass = 0.5; Astop = 65; Fs = 1e3; d2 = designfilt("lowpassiir", ... PassbandFrequency=Fpass, ... StopbandFrequency=Fstop, ... PassbandRipple=Apass, ... StopbandAttenuation=Astop, ... DesignMethod="butter", ... SampleRate=Fs); filterAnalyzer(d2)
Ondulación en la banda de paso y en la banda de parada
N = 8; Fpass = 100; Apass = 0.5; Astop = 65; Fs = 1e3; d3 = designfilt("lowpassiir", ... FilterOrder=N, ... PassbandFrequency=Fpass, ... PassbandRipple=Apass, ... StopbandAttenuation=Astop, ... SampleRate=Fs); filterAnalyzer(d3)
Filtros FIR paso alto
Diseño equiripple
Fstop = 350; Fpass = 400; Astop = 65; Apass = 0.5; Fs = 1e3; d4 = designfilt("highpassfir", ... StopbandFrequency=Fstop, ... PassbandFrequency=Fpass, ... StopbandAttenuation=Astop, ... PassbandRipple=Apass, ... DesignMethod="equiripple", ... SampleRate=Fs); filterAnalyzer(d4)
Filtros IIR paso alto
Diseño lo más plano posible
Fstop = 350; Fpass = 400; Astop = 65; Apass = 0.5; Fs = 1e3; d5 = designfilt("highpassiir", ... StopbandFrequency=Fstop ,... PassbandFrequency=Fpass, ... StopbandAttenuation=Astop, ... PassbandRipple=Apass, ... DesignMethod="butter", ... SampleRate=Fs); filterAnalyzer(d5)
Ondulación en la banda de paso y en la banda de parada
N = 8; Fpass = 400; Astop = 65; Apass = 0.5; Fs = 1e3; d6 = designfilt("highpassiir", ... FilterOrder=N, ... PassbandFrequency=Fpass, ... StopbandAttenuation=Astop, ... PassbandRipple=Apass, ... SampleRate=Fs); filterAnalyzer(d6)
Filtros FIR paso banda
Diseño equiripple
Fstop1 = 150; Fpass1 = 200; Fpass2 = 300; Fstop2 = 350; Astop1 = 65; Apass = 0.5; Astop2 = 65; Fs = 1e3; d7 = designfilt("bandpassfir", ... StopbandFrequency1=Fstop1, ... PassbandFrequency1=Fpass1, ... PassbandFrequency2=Fpass2, ... StopbandFrequency2=Fstop2, ... StopbandAttenuation1=Astop1, ... PassbandRipple=Apass, ... StopbandAttenuation2=Astop2, ... DesignMethod="equiripple", ... SampleRate=Fs); filterAnalyzer(d7)
Atenuaciones de banda asimétricas
N = 50; Fstop1 = 150; Fpass1 = 200; Fpass2 = 300; Fstop2 = 350; Wstop1 = 3; Wstop2 = 100; Fs = 1e3; d8 = designfilt("bandpassfir", ... FilterOrder=N, ... StopbandFrequency1=Fstop1, ... PassbandFrequency1=Fpass1, ... PassbandFrequency2=Fpass2, ... StopbandFrequency2=Fstop2, ... StopbandWeight1=Wstop1,StopbandWeight2=Wstop2, ... DesignMethod="equiripple",SampleRate=Fs); filterAnalyzer(d8)
Filtros IIR paso banda
Diseño lo más plano posible
Fstop1 = 150; Fpass1 = 200; Fpass2 = 300; Fstop2 = 350; Astop1 = 65; Apass = 0.5; Astop2 = 65; Fs = 1e3; d9 = designfilt("bandpassiir", ... StopbandFrequency1=Fstop1, ... PassbandFrequency1=Fpass1, ... PassbandFrequency2=Fpass2, ... StopbandFrequency2=Fstop2, ... StopbandAttenuation1=Astop1, ... PassbandRipple=Apass, ... StopbandAttenuation2=Astop2, ... DesignMethod="butter", ... SampleRate=Fs); filterAnalyzer(d9)
Ondulación en la banda de paso y en la banda de parada
N = 8; Fpass1 = 200; Fpass2 = 300; Astop1 = 65; Apass = 0.5; Astop2 = 65; Fs = 1e3; d10 = designfilt("bandpassiir", ... FilterOrder=N, ... PassbandFrequency1=Fpass1, ... PassbandFrequency2=Fpass2, ... StopbandAttenuation1=Astop1, ... PassbandRipple=Apass, ... StopbandAttenuation2=Astop2, ... SampleRate=Fs); filterAnalyzer(d10)
Filtros FIR eliminadores de banda
Diseño equiripple
Fpass1 = 100; Fstop1 = 150; Fstop2 = 350; Fpass2 = 400; Apass1 = 0.5; Astop = 65; Apass2 = 0.5; Fs = 1e3; d11 = designfilt("bandstopfir", ... PassbandFrequency1=Fpass1, ... StopbandFrequency1=Fstop1, ... StopbandFrequency2=Fstop2, ... PassbandFrequency2=Fpass2, ... PassbandRipple1=Apass1, ... StopbandAttenuation=Astop, ... PassbandRipple2=Apass2, ... DesignMethod="equiripple", ... SampleRate=Fs); filterAnalyzer(d11)
Ondulaciones de la banda de paso asimétricas
N = 30; Fpass1 = 100; Fstop1 = 150; Fstop2 = 350; Fpass2 = 400; Wpass1 = 1; Wpass2 = 10; Fs = 1e3; d12 = designfilt("bandstopfir", ... FilterOrder=N, ... PassbandFrequency1=Fpass1, ... StopbandFrequency1=Fstop1, ... StopbandFrequency2=Fstop2, ... PassbandFrequency2=Fpass2, ... PassbandWeight1=Wpass1, ... PassbandWeight2=Wpass2, ... DesignMethod="equiripple", ... SampleRate=Fs); filterAnalyzer(d12)
Filtros IIR eliminadores de banda
Diseño lo más plano posible
Fpass1 = 100; Fstop1 = 150; Fstop2 = 350; Fpass2 = 400; Apass1 = 0.5; Astop = 65; Apass2 = 0.5; Fs = 1e3; d13 = designfilt("bandstopiir", ... PassbandFrequency1=Fpass1, ... StopbandFrequency1=Fstop1, ... StopbandFrequency2=Fstop2, ... PassbandFrequency2=Fpass2, ... PassbandRipple1=Apass1, ... StopbandAttenuation=Astop, ... PassbandRipple2=Apass2, ... DesignMethod="butter", ... SampleRate=Fs); filterAnalyzer(d13)
Ondulación en la banda de paso y en la banda de parada
N = 8; Fpass1 = 125; Fpass2 = 375; Apass = 0.5; Astop = 65; Fs = 1e3; d14 = designfilt("bandstopiir", ... FilterOrder=N, ... PassbandFrequency1=Fpass1, ... PassbandFrequency2=Fpass2, ... PassbandRipple=Apass, ... StopbandAttenuation=Astop, ... SampleRate=Fs); filterAnalyzer(d14)
Filtros FIR de magnitud arbitraria
Diseño de magnitud arbitraria de banda única
N = 300; % Frequencies are in normalized units F1 = 0:0.01:0.18; F2 = [0.2 0.38 0.4 0.55 0.562 0.585 0.6 0.78]; F3 = 0.79:0.01:1; FreqVect = [F1 F2 F3]; % vector of frequencies % Define desired response using linear units A1 = 0.5+sin(2*pi*7.5*F1)/4; % Sinusoidal section A2 = [0.5 2.3 1 1 -0.2 -0.2 1 1]; % Piece-wise linear section A3 = 0.2+18*(1-F3).^2; % Quadratic section AmpVect = [A1 A2 A3]; d15 = designfilt("arbmagfir",... FilterOrder=N, ... Amplitudes=AmpVect, ... Frequencies=FreqVect,... DesignMethod="freqsamp"); filterAnalyzer(d15,MagnitudeMode="zerophase")
Diseño paso bajo multibanda con niveles de atenuación escalonada en la banda de parada
N = 150; B = 2; % Number of bands % Frequencies are in normalized units F1 = [0 0.25]; % Passband F2 = [0.3 0.4 0.401 0.5 0.501 0.6 0.601 0.7 0.701 0.8 0.801 0.9 0.901 1]; % Stopband A1 = ones(size(F1)); % Desired amplitudes for band 1 in linear units A2 = zeros(size(F2)); % Desired amplitudes for band 2 in linear units % Vector of weights W = 10.^([0 0 5 5 10 10 15 15 20 20 25 25 30 30 35 35]/20); W1 = W(1:2); % Weights for band 1 W2 = W(3:end); % Weights for band 2 d16 = designfilt("arbmagfir", ... FilterOrder=N, ... NumBands=B, ... BandFrequencies1=F1, ... BandAmplitudes1=A1, ... BandFrequencies2=F2, ... BandAmplitudes2=A2, ... BandWeights1=W1, ... BandWeights2=W2); filterAnalyzer(d16)
Filtros FIR diferenciadores
Diseño de banda completa
N = 41; Fs = 1e3; d17 = designfilt("differentiatorfir", ... FilterOrder=N, ... DesignMethod="equiripple", ... SampleRate=Fs); filterAnalyzer(d17,MagnitudeMode="zerophase",OverlayAnalysis="phase")
Diseño de banda parcial
N = 40; Fpass = 100; Fstop = 150; Fs = 1e3; d18 = designfilt("differentiatorfir", ... FilterOrder=N, ... PassbandFrequency=Fpass, ... StopbandFrequency=Fstop, ... DesignMethod="equiripple", ... SampleRate=Fs); filterAnalyzer(d18,MagnitudeMode="zerophase",OverlayAnalysis="phase")
Filtros FIR de Hilbert
Diseño equiripple
N = 40; Tw = 50; Fs = 1e3; d19 = designfilt("hilbertfir", ... FilterOrder=N, ... TransitionWidth=Tw, ... DesignMethod="equiripple", ... SampleRate=Fs); filterAnalyzer(d19,MagnitudeMode="zerophase",OverlayAnalysis="phase")
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