Springer, 2012. — 325 p.
For the past few years there was a requirement for a complete book volume which presents the fundamental techniques of signal conditioning along with their state of art applications both in the domain of continuous wave communication, single and two dimensional signal processing. In September 2010, just after the successful publication of my book ‘‘Digital communication—Principles and System Modelling’’ from Springer, the senior editor of Springer’s ‘‘Signals and Communication Technology’’ series Dr. Christoph Baumann discussed about that requirement with me. He proposed me to write a book to meet the requirement. He opined that the present book along with the aforementioned book in digital communication can be an impressive two-volume archive for understanding the flavor of the subjects like communication, signal processing and image processing and their interdependencies. With this thought and motivation we both have prepared the draft table of content for the present book. This sincere effort to fulfill the expectations of all the readers including undergraduate and post graduate students, teachers, illustrators, domain professionals and researchers, started just one year back.
The generic chapter on preview and introduction starts with discussing about the fundamental properties and operations in signals and systems. The entire content is intentionally segregated in two parts namely ‘‘Continuous wave communication and analog signal conditioning’’ and ‘‘Discrete signal conditioning: 1D and 2D’’. The 1st part comprises of the continuous time Fourier series and transform, and the basic analog modulations like amplitude, frequency and phase modulation. The 2nd part starts with basic operations in discrete time signals and systems and ends with detailed discussion on different transformations like DTFS, DTFT, DFT, FFT, ZT and DWT.
I found a common problem among the students of undergraduate and even post graduate levels of incomplete and insufficient understanding of the transformed domain interpretation of signals and systems, physically. Most of them consider the same as only some mathematical tools which increases there overheads only. The main reason of this perception is the lag of communication from the authors and teachers (with due respect to all of them) in terms of interconnections between the transformed domain realizations of signals and systems, interpretations and approach in solving the real world problems. Moreover, the students try to look at each of the transformations as a separate tool. The first thing I tried in my approach is interpreting the transformed domain representation used for analysis of signals and systems, physically. I have shown the physical interpretations of all the transformed coefficients so that they can just be derived by some very simple geometric pattern matching. I hope this will reduce the overhead of the readers and help them to understand the foundation and applicability of the different transformations, as well.
In this book, different transformations like Continuous and Discrete Time Fourier Series and Transforms (CTFS, CTFT, DTFS, DTFT), Discrete Fourier Transform (DFT), Fast Fourier Transform (FFT), Laplace Transform (LT), Z-transform, and Discrete Wavelet Transform (DWT) are presented in a collateral way like beads in a single necklace. As the research progressed, new transformations evolved from the existing one to meet the requirements, applicability and reduction of computational cost. In this book I have introduced each of the transformations in the same fashion, considering them as inherited or derived transform from the previous one or the fundamental one like Fourier series or transform. This approach denies the wrong idea of considering each of the transforms as lonely island. They all are closely interrelated and in this book their relationships are clearly projected by deriving one transform from another. The boundary conditions used in these inter-conversions will help the students to understand why one transformation is at all necessary to be introduced, what is its applicability and how does it help to solve a real time problems in an easier way. This will answer the very basic question, ‘‘Why should I study this?’’ in students’ mind. Believe me the answer will not just be ‘‘It is in the syllables’’; moreover it will be ‘‘This is an important and interesting knowledge for me which I can apply in my domain of interest.’’ I hope this new approach will help the teachers also to deliver the knowledge in an elegant way.
Preview and Introduction
Part I Continuous Wave Communication and Analog Signal ConditioningFourier Series
Fourier Transform
Amplitude Modulation
Angle Modulation Technology
Part II Discrete Signal Conditioning: 1D & 2DDiscrete Time Transformations: DTFS and DTFT
Discrete Fourier Transform
Fast Fourier Transform
Z-Transform
Wavelets: Multi-Resolution Signal Processing
Steganography: Secret Data Hiding in Multimedia
A: Frequently Used MatLAB Functions