ECE330 Course Objectives
Fall 2001


You will be expected to master the following skills:

1) Determine whether a signal has the following properties:
	discrete time, continuous time, power, energy, periodic, aperiodic, even, odd

2) Perform the following operations on signals, alone or in combination:
	amplitude scaling, addition, multiplication, differentiation, integration
	time scaling, reflection, time shifting

3) Identify and use the following elementary signals:
	exponentials, sinusoids, complex exponentials, exponentially damped
        sinusoids step functions, impulses, sifting and time scaling properties of
        impulses

4) Identify and manipulate series and parallel interconnections of systems

5) Determine whether an input/output description for a system has the following 
   properties:
	stability, memory, memoryless, causality, invertibility (simple cases), 
        time invariance, linearity

6) Evaluate the convolution sum and integral given an input and the impulse response

7) Use the commutative, associative, and distributive properties of convolution

8) Determine whether a system described by an impulse response has properties:
	memoryless, causal, stable

9) Find the step and frequency responses of a system given the impulse response

10) Characterize the natural response, forced response, and complete response  
    for systems described by second order difference or differential equations 

11) Determine whether a system described by a difference or differential equation 
    is stable

12) Determine whether the DTFS, FS, DTFT, or FT representation is
    appropriate for a give signal

12) Evaluate the DTFS, FS, DTFT, and FT representations of time signals
    using the defining equations

13) Evaluate the time domain signal corresponding to DTFS, FS, DTFT, and FT
    representations using the defining equations

14) Use partial fraction expansions to find the inverse DTFT and FT

15) Use the tables of representations and properties to find the appropriate 
    representation or time signal

16) Use the frequency response to solve for the input, output, or impulse
    response of a system given the other two signals

17) Determine the frequency response of systems described by differential
    and difference equations

18) Use the FT or DTFT representation for periodic signals to analyze
    mixtures of periodic and aperiodic signals

19) Determine the FT representation for a sampled signal

20) Determine the conditions on the sampling rate or interval that guarantee a 
    bandlimited signal can be uniquely reconstructed from its samples

21) Identify the specifications of an anti-imaging filter for
    reconstructing continuous-time signals from samples

22) Find the Laplace transform of a time signal using the defining equation

23) Find the Laplace transform and inverse Laplace transform using the
    tables of transforms and properties

24) Use the method of partial fractions to find inverse Laplace transforms

25) Use the unilateral Laplace transform to solve second order differential
    equations.  Identify the natural and forced response components of the
    solution.