How do I find the zero crossings for a function sinx/x against x?
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I have used the following code to plot
x=linspace(-90,90,10000);
y=sin(x)./x;
plot(x,y);
axis([-90 90 -1.5 1.5])
xlabel('x')
ylabel('y')
title('A GRAPH OF A FUNCTION Y=(SINX)/X AGAINST X')
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Respuestas (2)
ANKUR KUMAR
el 11 de Jul. de 2021
Do you mean to find the x values which cooresponds to the zero in the y values?
I do not think you have zero value in y variables (It is close to zero, but not exactly zero).
This is an example using the round function so that it yields nearest integer value.
x=linspace(-90,90,10000);
y=round(sin(x)./x);
x_vals=x(y==0)
x_vals contains the x values which corresponds to zero in y values.
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Matt J
el 11 de Jul. de 2021
Editada: Matt J
el 11 de Jul. de 2021
You can see analytically that the zeros will occur when the numerator sin(x) has a zero crossing, which will occur at non-zero integer multiples of pi. At x=0, L'hopital's rule readily shows you that there is no zero crossing there.
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