convert complex number to Integers

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Life is Wonderful
Life is Wonderful 2021-5-11
编辑： Life is Wonderful 2021-5-13
I have a exponential function and cordic exponential function.
I see a differenc in output for exponential and cordic exp func
Example -
theta = [-pi:pi/4:pi]
y = exp(theta)
y1 = cordiccexp(theta)
cordic exponential works only for complex number where as exponential works for complex and real/integer numbers
Question - How to (Mathematics) get cordiccexp out same as exponetial function

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回答（1 个）

KSSV
KSSV 2021-5-11
编辑：KSSV 2021-5-11
cordicexp calculates
cos(theta)+i*sin(theta)
To make cordicexp and exp same you need to use:
exp(i*theta)
Remember Euler's formula.
exp(i*x) = cos(x)+i*sin(x)
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KSSV
KSSV 2021-5-11
theta = -pi:pi/4:pi ;
y1 = exp(1i*theta) ;
y2 = cordiccexp(theta) ;
figure;
hold on
plot(1:length(y1),real(y1),'r','linewidth',2.5);
plot(1:length(y2),real(y2),'*b','linewidth',2.5);
grid on
legend('exponential','cordicexp');
Life is Wonderful
Life is Wonderful 2021-5-11
编辑：Life is Wonderful 2021-5-11
I need below and not imaginary of cordic exponential.
theta = [-pi:pi/4:pi];
y = cos(theta)+i*sin(theta);
y1 = cordiccexp(theta); % imaginary
y2 = exp(theta); % no imaginary
figure;
subplot(2,1,1);plot(1:length(y),real(y1),'r--','linewidth',2.5); hold on; grid on;legend('cordicexp');
subplot(2,1,2);plot(1:length(y),real(y2),'b--','linewidth',2.5); hold on; grid on;legend('exponential');

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