clc, clear, clf
set(0,'DefaultFigureWindowStyle','docked')
figure('Name', 'RT_Karlsruhe 2.1', 'NumberTitle', 'off')
subplot(4, 1, 1)
hold on, grid on, axis equal
start = -2;
ende = 10;
t = linspace(start,ende,5000);
a = @(t) (t-2).*(heaviside(t-2) - heaviside(t-4)) + (t-6).*(heaviside(t-4) - heaviside(t-6));
A = a(t);
a_derivative = @(t) heaviside(t-2) - 4*dirac(t-4) - heaviside(t-6);
A_derivative = a_derivative(t);
syms x
diff_test = diff((x-2).*(heaviside(x-2) - heaviside(x-4)) + (x-6).*(heaviside(x-4) - heaviside(x-6)));
plot(t,A, 'g', 'LineWidth', 2)
plot(t,A_derivative, 'r--', 'LineWidth', 2)
fplot(diff_test, [-2 10], 'bo', 'LineWidth', 2)
title('Signal A')
xlabel('Zeit "t"')
ylabel('a(t) und a_derivative(t)')
subplot(4,1,2)
hold on, grid on, axis equal
b = @(t) heaviside(t-2) - heaviside(t-8) + heaviside(t-4) - heaviside(t-6);
B = b(t);
b_derivative = @(t) dirac(t-2) - dirac(t-8) + dirac(t-4) - dirac(t-6);
B_derivative = b_derivative(t);
plot(t,B, 'g', 'LineWidth', 2)
plot(t,B_derivative, 'r--', 'LineWidth', 2)
title('Signal B')
xlabel('Zeit "t"')
ylabel('b(t) und b_derivative(t)')
subplot(4,1,3)
hold on, grid on, axis equal
c = @(t) -2*heaviside(t-1) + 2*heaviside(t-3) + (t-4).*heaviside(t-4) - (t-4).*heaviside(t-6);
C = c(t);
c_derivative = @(t) -2*dirac(t-1) + 2*dirac(t-3) + heaviside(t-4) - heaviside(t-6);
C_derivative = c_derivative(t);
plot(t,C, 'g', 'LineWidth', 2)
plot(t,C_derivative, 'r--', 'LineWidth', 2)
title('Signal C')
xlabel('Zeit "t"')
ylabel('b(t) und c_derivative(t)')
subplot(4,1,4)
hold on, grid on, axis equal
d = @(t) (2*t).*heaviside(t+1) - (3*t-3).*heaviside(t-1) - (3-t).*heaviside(t-3);
D = d(t);
d_derivative = @(t) 2*heaviside(t+1) + (2*t).*dirac(t+1) - 3*heaviside(t-1) ...
+ heaviside(t-3);
D_derivative = d_derivative(t);
plot(t,D, 'g', 'LineWidth', 2)
plot(t, D_derivative, 'r--', 'LineWidth', 2)
xticks(start:1:ende)
title('Signal D')
xlabel('Zeit "t"')
ylabel('d(t) und d_derivative(t)')
clc, clear, clf
set(0,'DefaultFigureWindowStyle','docked')
figure('Name', 'RT_Karlsruhe 2.1', 'NumberTitle', 'off')
subplot(4, 1, 1)
hold on, grid on, axis equal
start = -2;
ende = 10;
t = linspace(start,ende,5000);
a = @(t) (t-2).*(heaviside(t-2) - heaviside(t-4)) + (t-6).*(heaviside(t-4) - heaviside(t-6));
A = a(t);
a_derivative = @(t) heaviside(t-2) - 4*dirac(t-4) - heaviside(t-6);
A_derivative = a_derivative(t);
syms x
diff_test = diff((x-2).*(heaviside(x-2) - heaviside(x-4)) + (x-6).*(heaviside(x-4) - heaviside(x-6)));
plot(t,A, 'g', 'LineWidth', 2)
plot(t,A_derivative, 'r--', 'LineWidth', 2)
fplot(diff_test, [-2 10], 'bo', 'LineWidth', 2)
title('Signal A')
xlabel('Zeit "t"')
ylabel('a(t) und a_derivative(t)')
subplot(4,1,2)
hold on, grid on, axis equal
b = @(t) heaviside(t-2) - heaviside(t-8) + heaviside(t-4) - heaviside(t-6);
B = b(t);
b_derivative = @(t) dirac(t-2) - dirac(t-8) + dirac(t-4) - dirac(t-6);
B_derivative = b_derivative(t);
plot(t,B, 'g', 'LineWidth', 2)
plot(t,B_derivative, 'r--', 'LineWidth', 2)
title('Signal B')
xlabel('Zeit "t"')
ylabel('b(t) und b_derivative(t)')
subplot(4,1,3)
hold on, grid on, axis equal
c = @(t) -2*heaviside(t-1) + 2*heaviside(t-3) + (t-4).*heaviside(t-4) - (t-4).*heaviside(t-6);
C = c(t);
c_derivative = @(t) -2*dirac(t-1) + 2*dirac(t-3) + heaviside(t-4) - heaviside(t-6);
C_derivative = c_derivative(t);
plot(t,C, 'g', 'LineWidth', 2)
plot(t,C_derivative, 'r--', 'LineWidth', 2)
title('Signal C')
xlabel('Zeit "t"')
ylabel('b(t) und c_derivative(t)')
subplot(4,1,4)
hold on, grid on, axis equal
d = @(t) (2*t).*heaviside(t+1) - (3*t-3).*heaviside(t-1) - (3-t).*heaviside(t-3);
D = d(t);
d_derivative = @(t) 2*heaviside(t+1) + (2*t).*dirac(t+1) - 3*heaviside(t-1) ...
+ heaviside(t-3);
D_derivative = d_derivative(t);
plot(t,D, 'g', 'LineWidth', 2)
plot(t, D_derivative, 'r--', 'LineWidth', 2)
xticks(start:1:ende)
title('Signal D')
xlabel('Zeit "t"')
ylabel('d(t) und d_derivative(t)')
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