Digital signal processing is an area of science and engineering that has been developed rapidly over the past years. This rapid development is the result of the significant advances in digital computer technology and integrated circuits fabrication. Many of the signal processing tasks conventionally performed by analog means, are realized today by less expensive and often more reliable digital hardware. Multirate Systems: Design and Applications addresses the rapid development of multirate digital signal processing and how it is complemented by the emergence of new applications.
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Gordana Jovanovic-Dolecek received a BS degree from the Faculty of Electrical Engineering, University of Sarajevo; an Ms degree from the University of Belgrade, and a Ph.D. degree from the Faculty of Electrical Engineering, University of Sarajevo. She was with the Faculty of Electrical Engineering, University of Sarajevo until 1993, as a research assistant, assistant professor, associate professor, and full professor. From 1986 to 1991, she was chairman of the Department of Telecommunication. During 1993-1995 she was with the Institute Mihailo Pupin, Belgrade. In 1995 she joined Institute INAOE, Department for Electronics, Puebla, Mexico, where she works as a professor and researcher. She is the author of three books and more than 100 papers.Her research interests include digital signal processing and digital communications. She is a member of IEEE and The National Researche! r System (SNI) of Mexico.
Digital signal processing is an area of engineering that has been growing rapidly over the past several decades. Its rapid development is a result of significant advances in digital computer technology and integrated circuits fabrication.
Classical digital signal processing structures are the so-called single-rate systems because the sampling rates are the same at all points of the system. There are many applications where the signal of a given sampling rate needs to be converted into an equivalent signal with a different sampling rate. The main reason could be to increase efficiency or simply to match digital signals that have different rates. The process of changing the sampling rate of a signal to is called sampling rate conversion. Systems that employ multiple sampling rates in the processing of digital signals are called multirate digital signal processing systems.
During the last several years, the multirate processing of digital signals has attracted many researchers, and the utilization of multirate techniques is becoming an indispensable tool of the electrical engineering profession (B. Suter: Multirate and Wavelet Signal Processing , Academic Press, San Diego, 1998). Changing the sampling rate can reduce the computation necessary to complete some DSP operations, and thus reduce overall system cost. Consequently, one of the main characteristics of multirate systems is their high computational efficiency. Multirate digital signal processing has different applications, such as efficient filtering, subband coding of speech, audio and video signals, analog/digital conversion, and communications, among others.
In spite of substantial progress in multirate signal processing, and many published articles, only few books treats this matter. It is our goal to describe the most recent theoretical and practical results all in one place. We write this book with the idea to explain the underlying theory related to multirate signal processing, as well as to present some of the most important applications.
The overall mission of the book can be summarized as: · To give representative coverage of advanced topics of multirate systems. · To present the most promising applications of multirate systems.
The following topics are included: an introduction to multirate systems, theory and applications of filter banks, applications of multirate in wavelets, efficient filtering using multirate systems, applications of multirate in A/D conversion, subband coding, speech and audio signal processing, telecommunications, and lastly, design and implementation of multirate digital filters. The limited number of pages prevented us from treating other interesting issues in more depth. The book is divided into nine chapters, and except for the first chapter, which introduces multirate theory, all other chapters are substantially independent; readers can, therefore, either follow the text from the beginning to the end, or pursue only their special interests without having to read the entire book.
The leading experts in the field write individual chapters, and as such offer a detailed overview of theory along with the most recent results and relevant applications in the area of multirate systems.
The first chapter, Introduction to Multirate Systems, presents the fundamentals of multirate system theory, and includes decimation and interpolation as the basic concepts behind the changing of the sampling rate. The conversion of the sampling rate by an integer as well as by a rational number is explained. Some widely used interconnections of sampling converters are also discussed.
During the last two decades, multirate filter banks have found various applications in many different areas, such as speech coding, image compression, adaptive signal processing, and communications. The filter banks enable the separation of the signal into two or more signals (Analysis filter bank) or the composition of two or more signals into a single signal (Synthesis filter bank). Chapter two, Multirate Systems and Filter Banks, discusses the design and role of various classes of analysis and synthesis filter banks.
One of the most fascinating developments in the field of multirate signal processing has been the establishment of its link to the discrete wavelet transform. The third chapter, Wavelet Transforms and Multirate Filtering, provides an overview of the wavelet transform, and develops its link to multirate filtering, and applications in digital image processing. Chapter begins with a brief account of the continuous wavelet transformation (CWT), then goes through the discrete wavelet transformation (DWT) followed by derivation of the relationship between the DWT and multirate filtering. Chapter concludes with an account of selected applications in digital image processing.
The multirate approach increases the computation speed, decreases the overall filter order, reduces word-length effects, and decreases power consumption. Consequently, it is one of the key methods utilized in efficient filtering.
The fourth chapter, entitled Efficient Multirate Filtering discusses the application of multirate techniques to improve digital filter design and implementation. FIR and IIR filter design and implementation for sampling rate conversion by integer and rational factors are presented. Sharp narrow-band and wide-band multirate design techniques are discussed. Accurate designs of FIR and IIR half-band filters are described in detail. Several examples are provided to illustrate the multirate approach to filter design.
Chapter five, A/D Conversion Applications, treats the applications of multirate in A/D conversion. The review of the most frequently applied conversion principles is presented first, followed by the fundamentals of delta-sigma modulation. Furthermore, the various architectures for the implementation of a modulator are considered. Next section provides a case study of a delta-sigma based high-resolution analog-to-digital (ADC) system for a sonar application. This design example not only illustrates the various trade-offs on the architectural level but also addresses practical implementation issues on the physical level.
The following chapter, titled Subband Coding of Signals, discusses the compression of signals using the subband decomposition approach. The chapter includes analysis of subband coding systems and subband compression algorithms. At first a formal definition of the compression problem and basic results from rate-distortion theory are presented. Next section describes a general subband coding system and its properties, followed by popular subband compression algorithms. The study of R-D optimization technique and audio compression using multirate systems are also discussed
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