Practical Applications in Digital Signal Processing

Chapter Seven. Complex to Real Conversion

There are many instances where signal processing hardware and/or software operate on real signals. One example is passing a real digitized signal x_R(n) through a digital filter to shape the signal bandwidth. Another example is computing a histogram of a real discrete signal by collecting statistics on one or more of its parameters.

For the most part, when dealing with communication signals, it is either convenient or mandatory that a signal be processed in its complex form. That is, the signal x_R(n) is first converted from its real form to its complex form x_C(n) = a(n) + jb(n), where a(n) is the real part ...