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This lecture explores the method of converting analog filters into digital filters using the integration equivalence approach. The instructor explains how to approximate analog integration in the digital domain, preserving the integration properties. The lecture delves into the geometric properties of the bilinear transformation, stability preservation, frequency distortion, and the conversion of analog resonator filters to digital ones. It also discusses the impact of frequency distortion on digital filter construction and the simplification of parameters during the conversion process. The method's independence from specific parameters and its effectiveness in approximating various analog filters make it a commonly used technique in digital filter design.