[CSC 335] Complex Numbers

[Andrew J. Pounds]

In the NMR filter the $\hat{Z}$ matrix elements are built from terms 
that look like


$\left(e^{-i2\pi /N}\right)$

the exponential is Euler's method for expressing a complex number

$e^{i\theta}=\cos(\theta) + i \sin(\theta)$

so in thic case $\theta=-2\pi/N$ and the complex number could be built 
in fortran using

cnum = cmplx( cos(2*pi/N), -sin(2*pi/N) )


and using the GSL and C/C++ it would be something like this

gsl_complex b0 = gsl_complex_rect(cos(2*pi/N), -sin(2*pi/N) );

-- 
Andrew J. Pounds, Ph.D.  (pounds_aj at mercer.edu)
Professor of Chemistry and Computer Science
Mercer University,  Macon, GA 31207   (478) 301-5627
http://faculty.mercer.edu/pounds_aj

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