This lecture provides an in-depth overview of digital signal processors (DSPs) and their role in embedded systems. It begins by defining embedded systems and distinguishing between application-specific and reactive processors. The lecture highlights the evolution of embedded processors from simple microcontrollers to high-end DSPs used in various applications such as multimedia, wireless communication, and medical devices. It discusses the specificities of embedded processors, including cost-performance considerations and the importance of real-time constraints. The instructor explains the architecture of DSPs, focusing on fixed-point versus floating-point arithmetic, memory architecture, and the significance of multiply-accumulate (MAC) operations. The lecture also covers addressing modes, circular buffers, and the need for efficient programming techniques to optimize performance. Additionally, it addresses the challenges faced in DSP design, such as the trade-offs between complexity and cost. The session concludes with a discussion on the future of DSPs and their integration into modern computing systems.