Introduction to Digital Signal and System Analysis by Weiji Wang

intro-digital-signal-systemSince the 1990s, digital signals have been increasingly used not only in various industries and engineering equipment but also in everybody’s daily necessities. Mobile phones, TV receivers, music CDs, multimedia computing, etc, are the indispensable items in modern life, in which digital formats are taken as a basic form for carrying and storing information. The major reason for the advancement in the use of digital signals is the big leap forward in the popularization of microelectronics and computing technology in the past three decades. Traditional analogue broadcast is being widely upgraded to digital. A general shift from analogue to digital systems has taken place and achieved unequivocal benefits in signal quality, transmission efficiency and storage integrity. In addition, data management advantage in digital systems has provided users with a very friendly interface. A typical example is the popular pull-down manual, easy to find, make choices and more choices are made available. As marching into the digital era, many people in different sectors are quite keen to understand why this has happened and what might be the next in this area. They hope to obtain basic principles about digital signals and associated digital systems. Instead of targeting advanced or expert level, they as beginners often hope to grasp the subject as efficient and effective as possible without undertaking impossible task under usually limited time and effort available. This book is written for those beginners who want to gain an overview of the topic, understand the basic methods and know how to deal with basic digital signals and digital systems. No matter the incentive is from curiosity, interest or urgently acquiring needed knowledge for one’s profession, this book is well suited. The output standards are equivalent to university year two which lays a good foundation for further studies or moving on to specialized topics, such as digital filters, digital communications, discrete time-frequency representation, and time-scale analysis. The required mathematics for the reader is basically at pre-university level, actually only junior high schools maths is mainly involved.


The content of materials in this book has been delivered to second year engineering and IT students at university for more than 10 years. A feature in this book is that the digital signal or system is mainly treated as originally existing in digital form rather than always regarded as an approximation version of a corresponding analogue system which gives a wrong impression that digital signal is poor in accuracy, although many digital signals come from taking samples out of analogue signals. The digital signal and system stand as their own and no need to use the analogue counterpart to explain how they work. In this book the readers will read Introduction to Digital Signals and sampling, Signal representation and processing, Analogue to digital conversion, Sampling theorem, Quantization in an analogue to digital converter, Basic types of digital signals, Three basic signals, Signal shifting, flipping and scaling, Periodic signals, Examples of signal operations, Time-domain Analysis, Linear time invariant (LTI) systems, Difference equations, Block diagram for LTI systems, Impulse response, Convolution, Graphically demonstrated convolution, Frequency Domain analysis, Fourier series for periodic digital signals, Fourier transform for non-periodic signals, Properties of Fourier transform, Frequency response, Frequency correspondence when sampling rate is given, Z Domain Analysis, z-transform and inverse z-transform, Relationship between z-transform and Fourier transform, Z as time shift operator, Transfer function, Z-plane, poles and zeros, Stability of a system, Evaluation of the Fourier transform in the z-plane, Characteristics of 1st and 2nd order systems, Discrete Fourier Transform (DFT), Properties of DFT, The fast Fourier transform (FFT), Spectral analysis by DFT, Digital spectral analysis, Spectra of harmonics, Spectral leakage, Windowing, Performance of windows, Applications of digital spectral analysis and much more.

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