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This lecture covers the characteristics and synthesis of RIF filters, focusing on digital filters, amplitude and phase responses, windowing synthesis, and linear phase filters. It explains the properties of RIF filters, such as linearity, stability, and impulse response representation. The lecture also delves into the construction of impulse responses, windowing operations, and the impact of different window types on filter design. Additionally, it discusses the synthesis of RIF filters through frequency sampling and Fourier series, emphasizing the importance of symmetry and causality in filter design.