terminated
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537b9dc6bb
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%% Exercício 13
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%% Exercício 13
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function [Vmax, Lmax] = DiogoEliseuHugo_TP2_13(X, Y, GRAF)
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function [Vmax, Lmax] = DiogoEliseuHugo_TP1_13(X, Y, GRAF)
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n1 = 1:size(X, 2);
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n1 = 1:size(X, 2);
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n2 = 1:size(Y, 2);
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n2 = 1:size(Y, 2);
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n3 = 1:(size(X, 2) * 2) - 1;
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n3 = 1:(size(X, 2) * 2) - 1;
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@ -1,12 +1,12 @@
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%% Exercício 14
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%% Exercício 14
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function RefN = DiogoEliseuHugo_TP2_14(X)
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function RefN = DiogoEliseuHugo_TP1_14(X)
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N = 1:size(X, 2);
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N = 1:size(X, 2);
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ref = [sin(N); exp(N); exp(-N); N; -N; N.^2];
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ref = [sin(N); exp(N); exp(-N); N; -N; N.^2];
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maxim = [];
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maxim = [];
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for s = ref'
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for s = ref'
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Vmax = DiogoEliseuHugo_TP2_13(X, s', 1);
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Vmax = DiogoEliseuHugo_TP1_13(X, s', 1);
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maxim = [maxim Vmax];
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maxim = [maxim Vmax];
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end
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end
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%% Exercício 2
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%% Exercício 2
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function DiogoEliseuHugo_TP2_2(N1, N2)
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function DiogoEliseuHugo_TP1_2(N1, N2)
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n = N1:N2;
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n = N1:N2;
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% Impulso def
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% Impulso def
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7
TP1/DiogoEliseuHugo_TP1_3.m
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7
TP1/DiogoEliseuHugo_TP1_3.m
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%% Inicialização do ambiente
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clear ; close all; clc
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%% Exercício 3
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DiogoEliseuHugo_TP1_2(-10,30);
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DiogoEliseuHugo_TP1_2(-50,20);
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DiogoEliseuHugo_TP1_2(-100,100);
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%% Exercício 5
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%% Exercício 5
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function DiogoEliseuHugo_TP2_5(X)
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function DiogoEliseuHugo_TP1_5(X)
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plot(X);
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plot(X);
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fprintf('L_1: %d\n', norma(X,1));
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fprintf('L_1: %d\n', norma(X,1));
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fprintf('L_2: %f\n', norma(X,2));
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fprintf('L_2: %f\n', norma(X,2));
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%% Exercício 6
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%% Exercício 6
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function er = DiogoEliseuHugo_TP2_6(X1,X2)
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function er = DiogoEliseuHugo_TP1_6(X1,X2)
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er = norma(X2-X1,2) / norma(X1,2);
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er = norma(X2-X1,2) / norma(X1,2);
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end
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end
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legend('s', 'r', 'x')
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legend('s', 'r', 'x')
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title(['Erro de aproximação de x a s: ' num2str(DiogoEliseuHugo_TP2_6(s, x))])
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title(['Erro de aproximação de x a s: ' num2str(DiogoEliseuHugo_TP1_6(s, x))])
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@ -38,5 +38,5 @@ plot(y5)
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hold off
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hold off
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legend('s', 'x', 'y3', 'y5');
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legend('s', 'x', 'y3', 'y5');
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errors = ['Ex: ' num2str(DiogoEliseuHugo_TP2_6(x, s)) ' Ey3: ' num2str(DiogoEliseuHugo_TP2_6(y3, s)) ' Ey5: ' num2str(DiogoEliseuHugo_TP2_6(y5, s))];
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errors = ['Ex: ' num2str(DiogoEliseuHugo_TP1_6(x, s)) ' Ey3: ' num2str(DiogoEliseuHugo_TP1_6(y3, s)) ' Ey5: ' num2str(DiogoEliseuHugo_TP1_6(y5, s))];
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title(errors)
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title(errors)
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%% Inicialização do ambiente
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clear ; close all; clc
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%% Exercício 3
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DiogoEliseuHugo_TP2_2(-10,30);
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DiogoEliseuHugo_TP2_2(-50,20);
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DiogoEliseuHugo_TP2_2(-100,100);
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subplot(2,1,1)
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subplot(2,1,1)
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h60 = impz(num, den, 60);
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h60 = impz(num, den, 60);
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stem(h60,'filled')
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stem(h60,'filled')
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xlabel("n (samples)"); ylabel("Amplitude");
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subplot(2,1,2)
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subplot(2,1,2)
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[z, p, ~] = tf2zp(num, den);
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[z, p, ~] = tf2zp(num, den);
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zplane(z, p)
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zplane(z, p)
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sgtitle("H1");
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figure(2)
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figure(2)
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num = [ 4.5 -1.3 1.4 ];
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num = [ 4.5 -1.3 1.4 ];
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subplot(2,1,1)
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subplot(2,1,1)
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h60 = impz(num, den, 60);
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h60 = impz(num, den, 60);
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stem(h60,'filled')
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stem(h60,'filled')
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xlabel("n (samples)"); ylabel("Amplitude");
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subplot(2,1,2)
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subplot(2,1,2)
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[z, p, ~] = tf2zp(num, den);
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[z, p, ~] = tf2zp(num, den);
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zplane(z, p)
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zplane(z, p)
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sgtitle("H2");
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figure(3)
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figure(3)
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num = [ 0.5 ];
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num = [ 0.5 ];
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subplot(2,1,1)
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subplot(2,1,1)
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h60 = impz(num, den, 60);
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h60 = impz(num, den, 60);
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stem(h60,'filled')
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stem(h60,'filled')
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xlabel("n (samples)"); ylabel("Amplitude");
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subplot(2,1,2)
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subplot(2,1,2)
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[z, p, ~] = tf2zp(num, den);
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[z, p, ~] = tf2zp(num, den);
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zplane(z, p)
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zplane(z, p)
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sgtitle("H3");
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figure(4)
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figure(4)
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num = [ 3 4.5 ];
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num = [ 3 4.5 ];
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subplot(2,1,1)
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subplot(2,1,1)
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h60 = impz(num, den, 60);
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h60 = impz(num, den, 60);
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stem(h60,'filled')
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stem(h60,'filled')
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xlabel("n (samples)"); ylabel("Amplitude");
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subplot(2,1,2)
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subplot(2,1,2)
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[z, p, ~] = tf2zp(num, den);
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[z, p, ~] = tf2zp(num, den);
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zplane(z, p)
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zplane(z, p)
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sgtitle("H4");
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figure(5)
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figure(5)
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num = [ 1 ];
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num = [ 1 ];
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subplot(2,1,1)
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subplot(2,1,1)
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h60 = impz(num, den, 60);
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h60 = impz(num, den, 60);
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stem(h60,'filled')
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stem(h60,'filled')
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xlabel("n (samples)"); ylabel("Amplitude");
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subplot(2,1,2)
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subplot(2,1,2)
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[z, p, ~] = tf2zp(num, den);
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[z, p, ~] = tf2zp(num, den);
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zplane(z, p)
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zplane(z, p)
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sgtitle("H5");
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figure(6)
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figure(6)
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num = [ 1 ];
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num = [ 1 ];
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subplot(2,1,1)
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subplot(2,1,1)
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h60 = impz(num, den, 60);
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h60 = impz(num, den, 60);
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stem(h60,'filled')
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stem(h60,'filled')
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xlabel("n (samples)"); ylabel("Amplitude");
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subplot(2,1,2)
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subplot(2,1,2)
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[z, p, k] = tf2zp(num, den);
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[z, p, k] = tf2zp(num, den);
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zplane(z, p)
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zplane(z, p)
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sgtitle("H6");
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%% Inicialização do ambiente
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%% Inicialização do ambiente
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clear ; close all; clc
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clear; close all; clc
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%% Exercício 2
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%% Exercício 2
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sintetico_data = fopen('sintetico.csv');
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sintetico_data = fopen('sintetico.csv');
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%% Inicialização do ambiente
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%% Inicialização do ambiente
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clear ; close all; clc
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clear; close all; clc
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%% Exercício 3
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%% Exercício 3
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sintetico_data = fopen('sintetico.csv');
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sintetico_data = fopen('sintetico.csv');
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@ -8,11 +8,11 @@ sintetico = sintetico{1,1};
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fclose(sintetico_data);
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fclose(sintetico_data);
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N = length(sintetico);
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N = length(sintetico);
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FS = 8;
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Fs = 8;
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f = (0:N-1)/N*FS;
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f = linspace(0, 2*pi*Fs, N)/(pi*Fs);
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T = 0.125;
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T = 0.125;
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t = (0:N-1)/N*T;
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t = (1:N)/N*T;
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figure(1)
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figure(1)
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subplot(2,2,2)
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subplot(2,2,2)
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DFT_Xa = fft(sintetico, N);
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DFT_Xa = fft(sintetico, N);
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plot(f, abs(DFT_Xa))
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plot(f, abs(DFT_Xa))
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xlabel('\omega/\pi'), ylabel('|X(\omega)|'), title('DFT sintetico em [0, 2\pi]')
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xlabel('\omega/2\pi'), ylabel('|X(\omega)|'), title('DFT sintetico em [0, 2\pi]')
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subplot(2,2,3)
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subplot(2,2,3)
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low_pass_filter = ones(N,1);
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low_pass_filter = ones(N,1);
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low_pass_filter(81:177) = 0; % 2.5 H 5.5
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low_pass_filter(81:177) = 0; % 2.5 H 5.5
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DFT_Xa_filtered = DFT_Xa.*low_pass_filter;
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DFT_Xa_filtered = DFT_Xa.*low_pass_filter;
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plot(f, abs(DFT_Xa_filtered))
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plot(f, abs(DFT_Xa_filtered))
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xlabel('\omega/\pi'), ylabel('|Y(\omega)|'), title('DFT sintetico em [0, 2\pi] filtrada')
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xlabel('\omega/2\pi'), ylabel('|Y(\omega)|'), title('DFT sintetico em [0, 2\pi] filtrada')
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subplot(2,2,4)
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subplot(2,2,4)
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plot(t, abs(ifft(DFT_Xa_filtered)));
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plot(t, abs(ifft(DFT_Xa_filtered)));
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@ -1,5 +1,5 @@
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%% Inicialização do ambiente
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%% Inicialização do ambiente
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clear ; close all; clc
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clear; close all; clc
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%% Exercício 4
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%% Exercício 4
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fc = 0.3;
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fc = 0.3;
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%% Inicialização do ambiente
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%% Inicialização do ambiente
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clear ; close all; clc
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clear; close all; clc
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%% Exercício 6
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%% Exercício 6
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sintetico_data = fopen('sintetico.csv');
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sintetico_data = fopen('sintetico.csv');
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@ -1 +0,0 @@
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1,-0.67391,1.1587,0.3128,0.93612,1.2837,0.90455,1.7785,1.3046,1.8455,1.852,1.9125,2.1352,2.2587,2.0989,2.7274,2.0553,2.978,2.2675,2.918,2.6486,2.7807,2.9186,2.8027,2.9677,2.9523,2.9453,3.0443,2.9973,3.0398,3.0493,3.0945,2.9478,3.2825,2.76,3.3982,2.78,3.1627,3.1682,2.6183,3.6665,2.1883,3.8052,2.2527,3.418,2.7086,2.8574,3.0586,2.6196,2.9617,2.7891,2.6157,2.9553,2.5121,2.7074,2.8485,2.1298,3.2838,1.7182,3.3201,1.825,2.8541,2.283,2.2651,2.622,1.9757,2.5832,2.0273,2.3258,2.14,2.143,2.1069,2.1005,2.001,2.0436,1.9762,1.8962,1.9922,1.8025,1.8617,1.9099,1.551,2.1063,1.2945,2.1095,1.323,1.8299,1.5411,1.5277,1.6054,1.5121,1.3558,1.7244,1.0681,1.7491,1.166,1.298,1.6937,0.60739,2.1863,0.24468,2.1365,0.50781,1.5443,1.0989,0.91705,1.4504,0.71957,1.3261,0.90774,1.0143,1.0578,0.93038,0.89404,1.1331,0.57644,1.3133,0.44862,1.2107,0.60587,0.9152,0.81754,0.70896,0.84929,0.70402,0.73493,0.75323,0.66173,0.71245,0.67024,0.65786,0.60662,0.74438,0.39813,0.90648,0.25176,0.85117,0.44768,0.41943,0.94474,-0.12966,1.3207,-0.3255,1.1964,-0.00067769,0.67569,0.49292,0.25683,0.65994,0.28125,0.41659,0.55213,0.17407,0.57822,0.34358,0.1627,0.84136,-0.35305,1.172,-0.47064,0.9837,-0.086321,0.4438,0.42079,0.022946,0.62844,-0.019783,0.4955,0.1566,0.30214,0.25911,0.25538,0.22224,0.28247,0.2009,0.22958,0.2713,0.13727,0.28929,0.19285,0.10775,0.4301,-0.16131,0.61471,-0.2356,0.51604,-0.025333,0.22939,0.2092,0.098326,0.15893,0.28298,-0.11741,0.50752,-0.20443,0.34821,0.18615,-0.23908,0.81811,-0.78944,1.1239,-0.79564,0.80571,-0.25768,0.16132,0.31715,-0.24173,0.46395,-0.16727,0.2268,0.096406,0.029416,0.13387,0.1476,-0.11362,0.4212,-0.33705,0.50661,-0.27613,0.30851,-0.020671,0.057516,0.14698,-0.012093,0.1148,0.065862,0.029884,0.10406,0.036342,0.061896,0.057948,0.093187,-0.060251,0.27064,-0.25277,0.38721,-0.22665,0.16269,0.17708,-0.36181,0.6993,-0.76408,0.86938,-0.66503,0.51987,-0.16845,0.0026036,0.22725,-0.18708,0.18064,0.034568,-0.11148,0.2563,-0.1579,0.066897,0.23816
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