Electronic Circuits with MATLAB, PSpice, and Smith Chart

Appendix CComplex Number Operations with MATLAB

C.1 Addition

(C.1)

C.2 Multiplication

(C.2a)

(C.2b)

C.3 Division

(C.3a)

(C.3b)

C.4 Conversion between Rectangular Form and Polar/Exponential Form

(C.4)

Here, r and θ are referred to as the absolute value and argument or phase angle of complex number a_r+ja_i, respectively, and j is the unit imaginary number .

C.5 Operations on Complex Numbers Using MATLAB

If we do not use i and j for any other purpose, they represent the basic imaginary unit by default. Try typing the following statements into the MATLAB Command Window.

>>c1= 1+2i; c2= 3-4i;
>>c1*c2 % multiplication of complex numbers
>>c1/c2 % division of complex numbers
>>r=abs(c2) ...