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Appendices 133 A Mathematical Results 133 A.1 Singularities of the Displacement Error Covariance Matrix 133 A.2 A Class of Matrices and their Eigenvalues 134 A.3 Inverse of the Power Spectral Density Matrix 134 A.4 Power Spectral Density of a Frame 136 Glossary 137 References 141 Index 159 Preface This book aims to capture recent advances in motion compensation for ficient video compression. It investigates linearly combined motion comp sated signals and generalizes the well known superposition for bidirectional prediction in Bpictures. The number of superimposed signals and the sel tion of reference pictures will be important aspects of the discussion. The application oriented part of the book employs this concept to the well known ITUT Recommendation H.263 and continues with the improvements by superimposed motioncompensated signals for the emerging ITUT R ommendation H.264 and ISO/IEC MPEG4 (Part 10). In addition, it discusses a new approach for waveletbased video coding. This technology is currently investigated by MPEG to develop a new video compression standard for the midterm future.
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