In order to prepare for the material in Enel 699, a good understanding of the concepts of 1D signal processing, linear shift-invariant systems and 1D digital filtering are required. Here is a check list:
Signal and Function representation
range and domain
continuous-domain, discrete-domain
analog, digital
continuous-valued
quantized
region of support
real- and complex-valued signals
the real and complex exponential signal
unit step, unit ramp, delta and sinusoidal signals
amplitude bounded signals
absolutely-summable signals
finite-energy signals
signal pairs: lossless
Transforms of signals: Laplace, Fourier, Z
Parseval's Relation and Energy Density Spectrum
Uniform time-domain sampling and delta functions
Sampling Theorem and the Nyquist Frequency
Spectra of uniformly-sampled signals
Aliasing including the time and frequency domain analysis of aliasing
Duration-bandwidth relationships and trade-offs
Know how to derive transforms of gate functions, unit steps, sinusoids, etc. - especially the Fourier transforms and including sampled versions of these signals
Linearity and shift-invariance systems
LSI system input-output in time-domain
response to initial conditions
forced response
convolution
feedforward and feedback structures
discrete-domain analysis using 1D Z transform
steady-state frequency response
poles and zeros
characteristic equation and natural modes
input-output energy density spectra
filter transfer functions - low pass, high pass and band pass
filter design by continuous- to discrete-domain transformations of transfer functions: the bilinear transform
filter design by pole-zero manipulation
filters for noise removal and the moving average low pass filter
concept of an adaptive filter
typical spectra of practical 1D signals such as speech, radio , biomedical, seismic, etc.