# hw4 - Assignment#4 ECSE-2410 Signals Systems Fall 2005 Tue...

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

Assignment #4 ECSE-2410 Signals & Systems - Fall 2005 Tue 09/13/05 1(15). Suppose the step response of a discrete-time, LTI system is < < = n n n n n y step 2 , 3 2 0 , 0 , 0 ] [ . (a) Sketch ] [ n y step . (b) Suppose the input to this system is { } ,... 0 ..., 0 , 1 , 1 , 1 , 1 ] [ 1 = n x . First, express ] [ 1 n x in terms of step functions and then use the linearity and time-invariance properties to express the output, ] [ 1 n y , in terms of ] [ n y , and sketch. (c) Suppose the input is { } ,... 0 , 1 , 1 , 1 , 1 , 1 , 1 , 1 , 1 ] [ 2 - - - - = n x . Express the output, ] [ 2 n y , in terms of ] [ 1 n y , and sketch. 2(20). Suppose the impulse response of a discrete-time, LTI system is { } 1 , 1 , 1 , 1 ] [ = n h . (a) Find (expressed in sequence form) and sketch the output ] [ n y when the input is { } 1 , 1 , 1 , 1 ] [ = n x . (b) Find (in sequence form) and sketch the output ] [ 1 n y when the input is ] 1 [ ] [ ] [ 1 - - = n x n x n x . (c) Find (in sequence form) and sketch the output signal, ] 1 [ ] [ ] [ 2 - - = n y n y n y . (d) Is the following TRUE or FALSE? Suppose the input, ] [ n x , of a discrete-time, LTI system produces an output ] [ n y . Then the first-order backward difference of the original input, ] [ n x , i.e., ] 1

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