Use of Matlab to compute Complex Numbers
Complex NumbersComplex numbers consist of two separate parts: A real part and an imaginary part. The basic imaginary unit is equal to the square root of -1. This is represented in MATLAB by either of two letters: i or j. Creating Complex NumbersThe following statement shows one way of creating a complex value in MATLAB. The variable x is assigned a complex number with a real part of 2 and an imaginary part of 3: x = 2 + 3i; Another way to create a complex number is using the complex function. This function combines two numeric inputs into a complex output, making the first input real and the second imaginary: x = rand(3) * 5; y = rand(3) * -8;
z = complex(x, y) z =
4.7842 -1.0921i 0.8648 -1.5931i 1.2616 -2.2753i 2.6130 -0.0941i 4.8987 -2.3898i 4.3787 -3.7538i 4.4007 -7.1512i 1.3572 -5.2915i 3.6865 -0.5182i
You can separate a complex number into its real and imaginary parts using the real and imag functions: zr = real(z) zr =
4.7842 0.8648 1.2616 2.6130 4.8987 4.3787 4.4007 1.3572 3.6865
zi = imag(z) zi =
-1.0921 -1.5931 -2.2753 -0.0941 -2.3898 -3.7538 -7.1512 -5.2915 -0.518
