ECSE-4530 Digital Signal Processing
Rich Radke, Rensselaer Polytechnic Institute
Lecture 1: (8/25/14)
What is a signal? What is a system?
Continuous time vs. discrete time (analog vs. digital)
Combining transformations; order of operations
Even and odd
Decomposing a signal into even and odd parts (with Matlab demo)
The delta function
The unit step function
The relationship between the delta and step functions
Decomposing a signal into delta functions
The sampling property of delta functions
Complex number review (magnitude, phase, Euler's formula)
Real sinusoids (amplitude, frequency, phase)
Real exponential signals
Complex exponential signals
Complex exponential signals in discrete time
Discrete-time sinusoids are 2pi-periodic
When are complex sinusoids periodic?
Follows Section 2.1 of the textbook (Proakis and Manolakis, 4th ed.).