Hello all, kindly, I have question , how can I get the piecewise function of this blood flow rate shown below using Matlab

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FAWAZ FAREAD AL BAKRI
评论： FAWAZ FAREAD AL BAKRI 2024-7-20
Hello all, kindly, I have question , how can I get the piecewise function of this blood flow rate shown below using Matlab

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Torsten
Torsten 2024-7-20
移动：Torsten 2024-7-20
Ran in:
T = 0.56;
A = 220;
fun = @(x)A*sin(2*pi*x/T).*(x>=0 & x<=T/2) + 0*(x>T/2 & x <=0.7);
F = @(x)fun(mod(x,0.7));
x = linspace(0,3,1001);
plot(x,F(x))

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Sam Chak
Sam Chak 2024-7-20
Ran in:
Hi @FAWAZ FAREAD AL BAKRI
Constructing a piecewise function can be a tedious process, as this sinusoidal signal requires defining numerous intervals and corresponding function segments. However, there is a mathematical technique that can be employed to simplify the representation of a clipped sinusoidal signal without the need for a piecewise approach.
This method, which is commonly taught in mathematics courses but may not be as extensively covered in many engineering curricula (with the exception of certain electrical engineering topics, such as the analysis of half-wave rectifier diode circuits), allows for "clipping" the bottom portion of the sinusoidal waveform.
t = linspace(0, 3, 3001);
A = 200; % amplitude
T = 0.7; % period
y = max(0, A*sin(2*pi/0.7*t));
plot(t, y), grid on, ylim([-50 250])

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