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Laplace and Z Transforms - MIT

: Signals and SystemsLaplace and Z TransformsOctober 1, 2009 Mid-term Examination #1 Wednesday, October 7, 7:30-9:30pm, Walker recitations on the day of the :DT Signals and SystemsLectures 1 5 Homeworks 1 4 Homework 4 will include practice problems for mid-term , it will not collected or graded. Solutions will be book: 1 page of notes (812 11inches; front and back).Designed as 1-hour exam; two hours to sessions during open o ce ict? Contact before Friday, October 2, TimeMany continuous-time systems can be represented with di : leaky tankr0(t)r1(t)h1(t)Di erential equation representation: r1(t) =r0(t) r1(t)Last time we considered two methods to solve di erential equations: solving homogeneous and particular equations singularity matchingSolving Di erenti

The Z transform is the DT analog of the Laplace transform. The Z transform converts a dierence (recurrence) equation into a simple algebraic equation. Method (where Zrepresents the Z transform): dierential algebraic algebraic dierential equation −→ ↓solve −→ dierence equation algebraic equation algebraic answer solution to dierence ...

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