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This book explores cutting-edge techniques and algorithms at the intersection of sparse signal theory and high-frequency wireless communication. As terahertz (THz) systems become integral to 6G and beyond, they face challenges such as high path loss, limited hardware capabilities, and massive data rates. This book provides a comprehensive overview of how sparsity-based methods, including compressed sensing, sparse channel estimation, and dictionary learning, can effectively address these challenges. It delves into both theoretical foundations and practical implementations, covering aspects...