complex_math.c

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//complex_math.c
//
// Project Red 2002: High Performance OFDM Modem 
// Against Channel Imperfections
// Auther: Linus Falk

//calculates the complex multiplication, returns in xy.
void complex_multiplication(float xy[2], float ab[2]){
	float re = 0;
	float im = 0;

	re = xy[0]*ab[0] - xy[1]*ab[1];
	im = xy[1]*ab[0] + xy[0]*ab[1];
	xy[0] = re;
	xy[1] = im;
}

//calculates the complex division, returns in xy;
void complex_division(float xy[2], float ab[2]){
	float div_factor = 0;
	
	div_factor = _rcpsp(ab[0]*ab[0] + ab[1]*ab[1]);
	
	ab[1] *= -1; // conjugate
	complex_multiplication(xy,ab);
	ab[1] *= -1; // conjugate back
	xy[0] *= div_factor;
	xy[1] *= div_factor;
	
}

//calculates |xy|^2, returns in value
void complex_abs_sqr(float xy[2], float *value){
	*value = xy[0]*xy[0] + xy[1]*xy[1];	
}