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This lecture covers the design of digital Butterworth filters, focusing on concepts such as analog-to-digital conversion, discretization, and stable pole factorization. The instructor explains the process of scaling and discusses the experience of implementing low-pass filters. The lecture also delves into the application of Butterworth filters, comparing analog and digital versions. Various filter design exercises are presented, including sizing digital filters and analyzing frequency responses. The lecture concludes with practical examples and MATLAB code demonstrations for filter design and implementation.