102_1_EE102-S08-MidtermRecap

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

This preview shows pages 1–2. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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 ) δ ( t ) = df ( t ) dt U ( t ) + f (0) δ ( t )? Should know how to handle integrals containing delta and unit step functions. 3. Linear Systems : (i) IRF h ( t, 0)? h ( t, τ )? (ii) System is Linear and TI: h ( t, τ ) = h ( t- τ ) ? (iii) System is Linear, TV, and Causal: IRF is of the form h ( t, τ ) U ( t- τ ) ? (iv) System is L, TI, C: IRF is of the form h ( t- τ ) U ( t- τ ) ? 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 τ , where [ IRF ] consists of functions of...
View Full Document

{[ snackBarMessage ]}

### Page1 / 3

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

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online