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britanak v cosine sine modulated filter banks general properties 2018

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Textbook in PDF format Analysis and synthesis cosine-/sine-modulated filter banks are perfect reconstruction filter banks that are used for the time-to-frequency transformation of an audio data block, and vice versa, many sub-band/transform-based schemes for high-quality lossy/lossless compression of digital audio signals. These include the modified discrete cosine and sine transforms, the modulated lapped transforms, the extended lapped transforms, the low delay modified discrete cosine transform, the modulated complex lapped transform, and various forms of (low delay) complex exponential-modulated and real-valued cosine-modulated quadrature mirror filter banks. The perfect reconstruction cosine-/sine-modulated filter banks are fundamental processing components in many state-of-the-art international audio coding standards and in proprietary audio compression algorithms, broadcasting/ speech/data communication codecs, and open-source royalty free audio/speech codecs. In general, the computation of the complete perfect reconstruction analysis and synthesis filter banks is the most time-consuming operation in audio/speech coding schemes, and therefore, the fast algorithms for their efficient real-time hardware and software implementation are very important. Although many excellent (text) books have been published up to now (see references in the introductory chapter), generally they are almost all devoted to the theory and design of near-perfect and perfect reconstruction quadrature mirror filter and modulated filter banks, to the theory of orthogonal lapped transforms, to the detailed description of audio coding methods/algorithms/technologies (psychoacoustics principles and models, quantization, and perceptual audio coding strategies), and to the detailed description of audio coding standards and proprietary audio compression algorithms and their audio coding applications. However, in these books, frequently the discussion about fast algorithms for their efficient implementation is often limited, or they are discussed only marginally. On the other hand, the research interest and activities in the efficient implementations of perfect reconstruction cosine-/sine-modulated filter banks have much increased recently, mainly owing to the existence of their many audio coding applications appearing in the consumer and professional electronics market (portable players, mobile phones, and digital multimedia communication systems). This was the main motivation to prepare the edition of this book, and the authors strongly believe that it will fill up this gap. This book is devoted essentially and exclusively to the theory and design of fast algorithms for the efficient implementation of perfect reconstruction cosine- /sine-modulated filter banks as well as to the theory of algorithm complexity. It summarizes the research results achieved by the research community over three decades in this hot research topic. The book covers various algorithmic developments in the cosine-/sine-modulated filter banks including their general mathematical properties in the time and frequency domains, their (block) matrix representations, their fast algorithms employed in modern transform-based coding technologies, and various local and global methods to their integer approximation (integer-approximate cosine-/sine-modulated filter banks), being recently innovative transform-based technologies for lossless audio coding. The book Cosine-/Sine-Modulated Filter Banks: General Properties, Fast Algorithms and Integer Approximations is aimed at students, engineers, researchers, and scientists at research institutes, universities, and companies who are interested in theoretical aspects (origin and general mathematical properties) and practical aspects (fast algorithms and methods to integer approximation). The fervent hopes and aspirations of the authors are that the book will serve both as an excellent reference to perfect reconstruction cosine-/sine-modulated filter banks and as an incentive/inspiration for further advanced research. Cosine/Sine-Modulated Analysis/Synthesis Filter Banks Audio Coding Standards, (Proprietary) Audio Compression Algorithms, and Broadcasting/Speech/Data Communication Codecs: Overview of Adopted Filter Banks MDCT/MDST, MLT, ELT, and MCLT Filter Banks: Definitions, General Properties, and Matrix Representations Fast MDCT/MDST, MLT, ELT, and MCLT Algorithms Efficient Implementations of Cosine-Modulated Pseudo-QMF and MLT (MDCT) Filter Banks in MP3 Perfect Reconstruction Cosine/Sine-Modulated Filter Banks in the Dolby Digital (Plus) AC-3 Audio Coding Standards Spectral Band Replication Compression Technology: Efficient Implementations of Complex Exponential- and Cosine-Modulated QMF Banks Efficient Implementations of Perfect Reconstruction Low Delay Cosine-Modulated Filter Banks in the MPEG-4 AAC-ELD Integer Approximate Cosine/Sine-Modulated Filter Banks A Selected Mathematical Basics from Matrix Theory and Linear Algebra Selected Mathematical Basics from Matrix Theory and Linear Algebra Odd-Time Odd-Frequency Discrete Fourier transform (O2DFT) Fast DCT/DST Computational Structures Optimized Efficient Short Odd-Length Complex DFT, Real-Valued DFT, and (S)DCT Modules Optimized Efficient Short-Length Forward/Backward MDCT Modules Efficient Implementations of Givens–Jacobi Rotations Symmetry/Anti-Symmetry and Periodicity/Anti-Periodicity of a Sequence (Function)

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britanak v cosine sine modulated filter banks general properties 2018