MIT6_003S10_lec07_handout (1)

MIT6_003S10_lec07_handout (1) - x ( t ) x ( t ) X A X index...

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

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: x ( t ) x ( t ) X A X index shift Delay R x ( t ) x ( t ) X A X index shift Delay R x ( t ) x ( t ) X A X X 6.003: Signals and Systems Lecture 7 February 25, 2010 6.003: Signals and Systems Relations between CT and DT: Insights from Operators and Transforms February 25, 2010 Concept Map: Continuous-Time Systems Relations among CT representations. Block Diagram System Functional Y Y 2 A 2 + + = 1 2 1 X 2 + 3 A + A 2 Mid-term Examination #1 Wednesday, March 3, 7:30-9:30pm. No recitations on the day of the exam. Coverage: Representations of CT and DT Systems Lectures 17 Recitations 18 Homeworks 14 Homework 4 will not collected or graded. Solutions will be posted. Closed book: 1 page of notes ( 8 1 2 11 inches; front and back). Designed as 1-hour exam; two hours to complete. Review sessions during open oce hours. Concept Map: Discrete-Time Systems Relations among DT representations. Block Diagram System Functional X + Delay + Delay Y Y 1 = X 1 RR 2 Impulse Response Unit-Sample Response h [ n ] : 1 , 1 , 2 , 3 , 5 , 8 , 13 , 21 , 34 , 55 ,... h ( t ) = 2( e t/ 2 e t ) u ( t ) Differential Equation System Function Difference Equation System Function 2 y ( t ) + 3 y ( t ) + y ( t ) = 2 x ( t ) Y ( s ) X ( s ) = 2 2 s 2 + 3 s + 1 y [ n ] = x [ n ] + y [ n 1] + y [ n 2] H ( z ) = Y ( z ) X ( z ) = z 2 1 z z 2 Concept Map Relations between CT and DT representations. Block Diagram System Functional Differential Equation System Function Impulse Response + 1 + 1 2 X Y Y X = 2 A 2 2 + 3 A + A 2 2 y ( t ) + 3 y ( t ) + y ( t ) = 2 x ( t ) Y ( s ) X ( s ) = 2 2 s 2 + 3 s + 1 h ( t ) = 2( e t/ 2 e t ) u ( t ) Block Diagram System Functional Difference Equation System Function Unit-Sample Response + Delay + Delay X Y Y X = 1 1 RR 2 y [ n ] = x [ n ] + y [ n 1] + y [ n 2] H ( z ) = Y ( z ) X ( z ) = z 2 1 z z 2 h [ n ] : 1 , 1 , 2 , 3 , 5 , 8 , 13 , 21 , 34 , 55 ,... C T D T C T D T First-Order CT System Example: leaky tank....
View Full Document

Page1 / 7

MIT6_003S10_lec07_handout (1) - x ( t ) x ( t ) X A X index...

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

View Full Document Right Arrow Icon
Ask a homework question - tutors are online