About the book
Everyday life of most of the people around the world is being affected by smart gadgets that are collecting data from surrounding, and transmit them using some sort of wired, or wireless communication technologies, and two phrases of Internet of Thing (IoT), and 5th Generation of telecommunication systems (5G), are very common and popular topic among engineers, and scientist. One important key in this network of people and things is to ensure that the connections are established correctly, and reliably.
Therefore, accurate analysis of the signal becomes more and more crucial, as identifying any degradation and/or distortion in the generation of a signal, and also channel effects play an important role in the accuracy of a connection between transmitter and receiver. General approaches to look at signals are by looking at time components of a signal and/or analyzing frequency components of a signal. Resolution of analysis either in the time domain, or frequency domain is very important, as sometimes, some components can be missed. One way to analyze the signal is to perform Fourier Transform, or Inverse Fourier Transform, which gives a very good understanding of the signal in one domain, but the resolution in another domain has to be sacrificed. Gabor technique is another theory which considers both time frequency, and time, however it has its limitations and challenges.
Here in this book, we look at Wavelet Theory, as the Wavelet uses an approach to look at the signal time domain without missing initial frequency components. This theory has massive applications, and here besides the mathematical explanation of the Wavelet Theory, we also aim to look at some of the useful applications and examples in not only the telecommunication field but also in other disciplinary fields.