{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

HW8_ece220_2007

# HW8_ece220_2007 - Homework 8(ECE220 Fall 2007 Due Wednesday...

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

Homework 8 (ECE220 - Fall 2007) Due: Wednesday, November 7 by 2PM in the drop box outside 219 Phillips Hall. Reasoning and work must be shown to gain full/partial credit. WRITE YOUR NAME AND NET ID ON ALL PAGES HANDED IN! 1. (37 points) Consider the LTI system described by the RLC circuit shown in the below ﬁgure. x ( t ) is the input and y ( t ) is the output. (a) (5 points) Find the diﬀerential equation that relates the input to the output. (b) (10 points) Determine the frequency response of the system. Let R = 1Ω, C = 1 F , and L = 1 H . (c) (5 points) Determine the output of the system in part a) if the input is x ( t ) = sin ( t ). (d) (5 points) Determine the output of the system in part a) if the input is x ( t ) = cos (2 t +1). (e) (12 points) Cascade the high pass ﬁlter introduced in class with the system to get the new system (drawn below). Calculate the frequency response of the system when the input is x ( t ) and the output is z ( t ). Leave you answer as a function R , L , and C .

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

View Full Document
2. (18 points) Compute the Fourier Transform for the following signals.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 2

HW8_ece220_2007 - Homework 8(ECE220 Fall 2007 Due Wednesday...

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

View Full Document
Ask a homework question - tutors are online