![]() |
The
Iby and Aladar Fleischman
|
![]() |
HomeTeachingPublicationsInvited TalksActivities and AwardsFormer Graduate StudentsDownloads and Links |
Courses I teach
/ taught:
Discrete-time Random Processes; Wide-sense stationary (WSS) processes and their properties; Linear parametric processes: Auto-Regressive (AR), Moving Average (MA), ARMA; Spectral estimation: nonparametric methods (periodogram, correlogram, Blackman-Tukey, Welch), parametric methods, Yule-Walker (YW) and Modified YW equations; Detection of deterministic signals in noise: matched filter; Optimal linear filtering: causal and non-causal Wiener filters, Kalman filter; Introduction to adaptive filtering. Communication Systems Basic
concepts of communication systems, frequency-domain analysis of
deterministic signals vs. stochastic processes; Digital communication:
Pulse-Amplitude Modulation (PAM) and Pulse-Coding Modulation (PCM),
quantization and quantization-noise; Matched Filter; Inter-Symbol
Interference (ISI) and eye-patterns; Line Codes; Delta Modulation;
Analog communication: Baseband signals, Noise Figure, Narrowband Noise
Characterization; Amplitude-modulation methods: Double-SideBand (DSB),
Amplitude Modulation (AM), Single SideBand (SSB), Hilbert Transform and
its use; Phase-modulation methods: Phase Modulation (PM), Frequency
Modulation (FM), NarrowBand FM (NBFM); Phase-Locked Loops (PLL). Digital
Signal Processing Design of Finite Impulse
Response
(FIR) discrete-time filters: Generalized Linear Phase (GLP) filters and
their
four types; Coefficients design methods: Impulse-response Truncation
(IRT),
windowing, “optimal” windows, Least-squares (LS) weighting approaches,
the
Alternation Theorem and related algorithms (Parks-McClellan, Remez
Exchange).
Implementation approaches, computational efficiency and finite
word-length
considerations. Multi-rate signal processing, sampling rate conversion,
Polyphase filters, Multi-stage filtering, Filter banks, Quadrature
Mirror
Filters (QMF), conditions for perfect reconstruction. Concepts in
Linear
Time-Varying (LTV) systems: Tellegen’s theorem; generalization of
filter-banks
to time-frequency analysis, introduction to Wavelets. Digital
Processing of Single- And Multi-Dimensional Signals Single-Dimensional
signals:
Digital filtering principles, phase and amplitude relations, minimum
phase,
linear phase, group delay vs. phase delay, Generalized Linear Phase
(GLP)
filters; Multi-Dimensional (MD) signals and systems: MD Fourier
transform, MD
Z-transform, MD extensions of the Region of Convergence (ROC) concept,
stability issues; FIR coefficients design: Single-dimensional: Impulse
Response
Truncation (IRT), windowing, Least-Squares approaches, Parks-McClellan
and
Remez exchange algorithms; Multi-Dimensional: zero-phase filters, MD
windowing,
frequency sampling, transformation approaches, extensions of
single-dimensional
tools; Muti-rate processing of single-dimensional signals, Polyphase
filters,
filter banks, perfect reconstruction, generalization of filter-banks to
time-frequency analysis, the relation to wavelets; Wavelets in MD
signal
processing, pyramid representations; Interpolation with splines. Advanced
Digital Signal Processing Lab The lab is based on TI’s
TMS320UC6416, and features five DSP experiments aimed at demonstrating
and
exploring both theoretical and practical considerations in real-time
implementation of DSP algorithms. The experiments include basic
introductory
functions, as well as more elaborate tasks such as real-time spectral
analysis,
FIR and IIR filtering and adaptive notch filtering. Introduction
to Signal Processing Discrete and continuous
signals and systems, classification, transformations, representation of
signals
in terms of an orthonormal basis; Linear, time-invariant (LTI) systems,
impulse
response, convolution, exponential signals as eigen-signals of LTI
systems;
Analysis of continuous-time periodic signals in terms of Fourier
series,
"continuous-discrete" signals and discrete signals, analysis of
discrete-time periodic signals using a discrete-time Fourier series;
Analysis
of non-periodic continuous-time and discrete-time signals; The sampling
theorem, reconstruction of continuous signals; Unilateral and bilateral
Z-transform, its relation of the Discrete-Time Fourier Transform,
rational LTI
systems and their representation using difference equations. |