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This reference presents a more efficient, flexible, and manageable approach to unitary transform calculation and examines novel concepts in the design, classification, and management of fast algorithms for different transforms in one-, two-, and multidimensional cases. Illustrating methods to construct new unitary transforms for best algorithm selection and development in real-world applications, the book contains a wide range of examples to compare the efficacy of different algorithms in a variety of one-, two-, and three-dimensional cases. Multidimensional Discrete Unitary Transforms builds progressively from simple representative cases to higher levels of generalization.
Series Introduction, Preface, 1: Basic Concepts and Notation, I: Tensor Representation of Multidimensional Signals, II: Analysis and effective computing procedures, III: Applications of Paired Transformations, Index
Artyom M. Grigoryan, Sos S. Agaian, Artyom M. (University of Texas at San Antonio) Grigoryan, Sos S. (CUNY Graduate Center & CSI) Agaian, Artyom M Grigoryan, Sos S Agaian
King N. Ngan, Chi W. Yap, Keng T. Tan, Nedlands) Ngan, King N. (University of Western Australia, Australia) Yap, Chi W. (Enabling Technolog Pty. Ltd., Perth, China) Tan, Keng T. (Go-CDMA Ltd., Hong Kong
Luigi Landini, Vincenzo Positano, Maria Santarelli, Italy) Landini, Luigi (University of Pisa, Italy) Positano, Vincenzo (University of Pisa, Italy) Santarelli, Maria (University of Pisa
Li Deng, Douglas O'Shaughnessy, USA) Deng, Li (Microsoft Research, Redmond, Washington, Canada) O'Shaughnessy, Douglas (University of Quebec and McGill University, Montreal
Sundararajan Sriram, Shuvra S. Bhattacharyya, USA) Sriram, Sundararajan (Texas Instruments, Palo Alto, California, USA) Bhattacharyya, Shuvra S. (University of Maryland, College Park
Luigi Landini, Vincenzo Positano, Maria Santarelli, Italy) Landini, Luigi (University of Pisa, Italy) Positano, Vincenzo (University of Pisa, Italy) Santarelli, Maria (University of Pisa
Sundararajan Sriram, Shuvra S. Bhattacharyya, USA) Sriram, Sundararajan (Texas Instruments, Palo Alto, California, USA) Bhattacharyya, Shuvra S. (University of Maryland, College Park
Yingbo Hua, Alex Gershman, Qi Cheng, USA) Hua, Yingbo (University of California, Riverside, Canada) Gershman, Alex (McMaster University, Hamilton, Ontario, Australia) Cheng, Qi (University of Western Sydney, Kingswood