EE 314 Signal and Linear System Analysis Impulse

EE 314 Signal and Linear System Analysis Impulse Response of LTI Systems Lecture 6 EE 314 Signal and Linear System Analysis Slide 1 of 9

Summary of Last Lecture • Lecture 6 EE 314 Signal and Linear System Analysis Slide 2 of 9

Impulse Response of LTI Systems • The impulse response: § Output of a system in response to an impulse input Relationship between Impulse and step? • The step response: Knowing the impulse response of a system will allow the determination of the system’s response to any other input § Output of a system in response to an step input Lecture 6 EE 314 Signal and Linear System Analysis Slide 3 of 9

Impulse Response of LTI Systems • How would you 1. to Scaling test see test if 2. Additive test this is a LTI 3. TI test? system? Lecture 6 EE 314 Signal and Linear System Analysis Slide 4 of 9

Impulse Response of LTI Systems Determine the impulse response of this system • The loop voltage eqn: • Current through a capacitor: • The input/output eqn: Lecture 6 Integrating factor? EE 314 Signal and Linear System Analysis Aside: Slide 5 of 9

Impulse Response of LTI Systems • Relationship betw. ? Knowing the step and impulse response we can use superposition to determine the Response to any i/p that can be expressed as a combination of step/impulse inputs Lecture 6 EE 314 Signal and Linear System Analysis Slide 6 of 9

Impulse Response of LTI Systems TI Property Superposition Scalable If we let 0 what do we have? Lecture 6 EE 314 Signal and Linear System Analysis Slide 7 of 9

Impulse Response of LTI Systems • Impulse response from step response • Ramp response from step response Lecture 6 EE 314 Signal and Linear System Analysis Slide 8 of 9

Next Lecture • Convolution • Reading Assignment: Chap. 2. 3 Lecture 6 EE 314 Signal and Linear System Analysis Slide 9 of 9