HW1_ece220_2007 - Homework 1 (ECE220 - Fall 2007) Due:...

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

View Full Document Right Arrow Icon
Homework 1 (ECE220 - Fall 2007) Due: Thursday, September 6 at the beginning of lecture. Reasoning and work must be shown to gain full/partial credit. WRITE YOUR NAME AND NET ID ON ALL PAGES HANDED IN! 1. (20 points) Premise You are familiar with the concept of variable. Signals are a more sophisticated mathematical objects that extend the static concept of variable in order to capture a variable that changes dynamically. It may evolve in time, space, or with respect to some other, ehm, variable. Conventionally one refers to the dimensions of the independent variable, for example, time is 1-D (one-dimensional), space can be 2-D in an image or 3-D in actuality, when specifying what kind of signal we are dealing with. A 3-D signal is a video, which is a set of images evolving with time. This is not referring to the signal itself, which if studied as a vector, lies in a space usually with a great deal of more dimensions than its index. (20 points) There are two classes of signals. The ones that we commonly experience fit best the abstraction of analog signals . A 1-D analog signal is denoted for ex- ample as s ( t ) : s ( t ) R or C and t R . An analog image signal would be: s ( x,y ) : s ( x,y ) R or C and x,y R . The definition can be clearly extended to multidimensional signals s ( x 1 ,...,x n ) where, ( x 1 ,...,x n ) R n . Also, the signal itself sometimes takes only discrete values, which is an obvious special case. Digital signals
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 4

HW1_ece220_2007 - Homework 1 (ECE220 - Fall 2007) Due:...

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

View Full Document Right Arrow Icon
Ask a homework question - tutors are online