use of complex number in digital signal processing how  complex number used in digital signal processing.
detailed information about on how this method will be useful in radar technology.
Any complex array could be represented as a real array as follows:
$$x_R = \begin{bmatrix}
 \Re(x) \\
\Im(x)
\end{bmatrix}$$
and matrices are represented as 
$$A_R = \begin{bmatrix}
 \Re(A) &amp; \Im(A) \\
-\Im(A) &amp; \Re(A)
\end{bmatrix}$$
where $\Re(x),\Im(x)$ are vectors containing the real and imaginary part of complex vector $x$, respectively. Note that addition/subtraction is preserved by simply addition 
$$x_R + y_R = z_R$$
You can also verify that matrix multiplications in the real domain also preserves the real/complex information in their respective blocks, namely
$$A_RB_R = C_R$$
where $C_R = \begin{bmatrix}
 \Re(C) &amp; \Im(C) \\
-\Im(C) &amp; \Re(C)
\end{bmatrix}$