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This lecture covers the implementation of digital filters by approximating ideal filters, discussing transversal and recursive realizations. It explains how the impulse response characterizes the system, the response to different signals, and the modification of frequency content through filtering. The lecture also delves into the types of digital filters, including finite impulse response and infinite impulse response filters, and their characteristics. It explores non-recursive and recursive realizations, transfer functions, and different filter structures. Examples are provided to illustrate the concepts discussed.