Bi-dimensional Signal Analysis

Signal Processing, was, for a long period of time, associated with the analysis of 1-D electric waveforms, regardless of its physical nature.

This "electrical engineering science" was devoted to the mathematical description of the analysis tools, allowing the sending and receiving of information.

Then, this domain extended to an error free extraction of information and, eventually, to the understanding and the modeling of our environment.

The analysis methods were therefore adapted, but they mainly remained in the frequency domain.

Image Processing, on the other hand, developed on its own for the last 25 years, with a very strong connection to Signal Processing.

This domain has extended towards fields such as pattern recognition or fuzzy logic.

Since the beginning, the methods were guided by the spatial nature of the images, very close to the human eye interpretation.

So, what about 2-D signals that are not images? What kind of analysis or processing is better adapted to them?

The "images" most often seen in this book are coming from physical sensors (radars, sonars) and are natural 2-D signals.

They are not directly accessible to the human interpretation. Therefore, this book explores a 2-D spectral approach but, at the same time, develops the modeling of 2-D signals - including physical parameters - and several data-oriented analysis techniques.