{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# HWV - ECE 3250 HOMEWORK ASSIGNMENT V Fall 2009 1 In each...

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

ECE 3250 HOMEWORK ASSIGNMENT V Fall 2009 1. In each case, h is the impulse response of a LTI system and x is an input signal. Your task is to find S ( x ). (a) h ( t ) = e - 3 t u ( t ) for all t R and x ( t ) = e - 5 t u ( t ) for all t R . (b) h ( t ) = e - 3 t u ( t ) for all t R and x ( t ) = e - 5 | t | for all t R . (c) h ( t ) = e - 3( t - 7) u ( t - 7) + δ ( t - 7) for all t R and x ( t ) = e - 5 t u ( t ) for all t R . (d) h ( t ) = e - 3 t u ( t ) for all t R and x ( t ) = u ( - t ) for all t R . 2. A certain LTI system has impulse response h with specification h ( t ) = 7( e - 3 t - e - 5 t ) u ( t ) for all t R . (a) Find S ( u ) = Conv h ( u ), the system’s step response. Express S ( u ) as follows: S ( u )( t ) = c o u ( t ) + ( c 1 e - 3 t + c 2 e - 5 t ) u ( t ) for all t R . (b) For what values of σ R does signal x with specification x ( t ) = e σt for all t R belong to D h ? For any such value of σ , find S ( x ). (c) For what values of σ R does signal x with specification x ( t ) = e σt u ( t ) for all t R belong to D h ? For any such value of σ , find S ( x ). Compare the S ( x ) you find with the S ( x ) you found in (b). For example, how do the signals compare for large t > 0? 3. A certain LTI system has impulse response h with specification h ( t ) = 5 e - 3 t u ( t ) for all t R .

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.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern