102_1_EE102-S08-MidtermRecap

102_1_EE102-S08-MidtermRecap - 10 NHAN LEVAN PART I RECAP 1...

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Unformatted text preview: 10 NHAN LEVAN PART I RECAP 1 t (Time)-Domain Analysis of Systems 1. Systems : L, NL, TI, TV, C, NC, M, ZM. 2. Delta and Unit Step Functions : where does a delta function sit ? where does a unit step function sit (or jump, or turn on) ? d dt { f ( t ) U ( t ) } = df ( t ) dt U ( t ) + f ( t ) ( t ) = df ( t ) dt U ( t ) + f (0) ( t )? Should know how to handle integrals containing delta and unit step functions. 3. Linear Systems : (i) IRF h ( t, 0)? h ( t, )? (ii) System is Linear and TI: h ( t, ) = h ( t- ) ? (iii) System is Linear, TV, and Causal: IRF is of the form h ( t, ) U ( t- ) ? (iv) System is L, TI, C: IRF is of the form h ( t- ) U ( t- ) ? BIG THEOREM : Input-Output Relation of a Linear System: (Superposition Integral) ? Should know how to lift the IRF out of an input-output relation of a Linear System. Rule of Thumb : Always convert a given IPOP relation into the BT form: y ( t ) = - [ IRF ] [ IP ] d , where [ IRF ] consists of functions of...
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102_1_EE102-S08-MidtermRecap - 10 NHAN LEVAN PART I RECAP 1...

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