EE421 Fall 2000

Objectives for Quiz 1.
These are highlights of things you should know for the Quiz 1.

1.  Know about basic signals: How do you transform (scale, shift,
reverse) signals in time and amplitude?   What is the definition of 
periodic?  When are sums of periodic signals also periodic. Given 
a signal, find the even and odd parts of the signal.

2. Know the basic singularity signals: Step, Impulse, and Ramp.  You
should be able to take an equation for these and draw a graph, and you
should be able to take a graph of a combination of these and write an
equation describing it.  Also, you should know basic properties of the
unit impulse function and the step function. 

3. Know the system properties of Causality, Memory, Stability, Linearity,
and Time Invariance.  Given an equation describing the system, determine
which of these properties the system has.  

4. Know about the impulse response.  Given a simple system (given the
equation form), how do you find the impulse response?  For an LTI system,
from the impulse response you should be able to classify that system as
Causal/Non-Causal, with memory/memoryless, stable/unstable. 

5.  Know about convolution.  Given an input and an impulse response,
determine the output of the system.  (What class of systems do we assume in
order for this to work?)  You should be able to determine the output for all
time, or for a specific time I may ask you. 

6.  Know about the natural response of the system.  How do you find the 
natural response for a system described by a differential equation? 
What are the modes of the system, and why are they important (what do they 
tell us)?     

7.  Given a linear constant-coefficient ordinary differential equation
describing the input and output of a system, what is the transfer function
of the system, and what does it tell us about the modes and the long term
(steady state) response to an input?