# hw2 - ECE 301 Homework#2 due date...

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

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.

Unformatted text preview: ECE 301, Homework #2, due date: 1/25/2012 https://engineering.purdue.edu/ ∼ chihw/12ECE301S/12ECE301S.html Question 1: [Basic] Consider two functions f ( t ) and g ( t ) described as follows. f ( t ) = 2 if- 1 ≤ t < 1 if 0 ≤ t < 2 otherwise (1) g ( t ) = 3 + t if- 2 ≤ t < 3 if 0 ≤ t < 1 otherwise . (2) Find the value of ∫ ∞-∞ g (1- t ) f ( t ) dt . Question 2: [Basic] Review of Trigonometry: Suppose- π/ 2 ≤ α ≤ 0 and 3 π/ 2 ≤ β ≤ 2 π , and cos( α ) = 0 . 2 sin( β ) =- . 4 . Find the values of cos( α + β ) and sin( α- β ). Question 3: [Basic] Review of complex numbers: Let j be the imaginary number, i.e., j 2 =- 1. Suppose √ 2 + √ 2 j = e a + bj e 3+ 5 π 3 j = c + dj. Find the values of a , b , c , and d . Question 4: [Basic] Suppose A is a 3 by 3 matrix. Consider a linear system that outputs y = Ax where x ∈ R 3 is the input signal. To be more precise, x is a column vector of dimensional 3, and y ∈ R 3 is the output column vector of dimension 3. Further assumeis the output column vector of dimension 3....
View Full Document

## This note was uploaded on 02/12/2012 for the course ECE 301 taught by Professor V."ragu"balakrishnan during the Spring '06 term at Purdue.

### Page1 / 3

hw2 - ECE 301 Homework#2 due date...

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

View Full Document
Ask a homework question - tutors are online