who are interested in the treated algorithms and actually want to have/create working and
reasonably optimized code.
The printable full version will always stay online for free download. It is planned to also make parts of
the TEXsources (plus the scripts used for automation) available. Right now a few files of the TEX sources
and all extracted pseudo-code snippets1 are online. The C++-sources are online as part of FXT or hfloat
Integral Signal Represent at ions
The integral transform is one of the most important tools in signal theory. The best known example is the Fourier transform,buttherearemany other transforms of interest. In the following, W will first discuss the basic concepts of integral transforms. Then we will study the Fourier, Hartley, and Hilbert transforms. Finally, we will focus on real bandpass processes and their representation by means of their complex envelope.
Examples of Discrete Transforms
In this chapter we discuss the most important fixed discrete transforms. We start with the z-transform, whichis a fundamental tool for describing the input/output relationships in linear time-invariant (LTI) systems. Then we discuss several variants of Fourier series expansions, namely the discrete-time Fourier transform, thediscrete Fourier transform (DFT), and the Fourier fast transform (FFT).