What are you going to learn?
Content
Classify continuous-time systems as linear or non-linear, time-invariant or time-varying, and stable or unstable, energy signals or power signals, and periodic or non- periodic, and find the period of a periodic signal. Signal shifting, scaling and reflecting, odd and even component of a signal. Solving OED functions in time domain. Obtain Fourier Series in trigonometric form, compact trigonometric form and exponential form. Conduct Fourier Transform, able to apply Fourier Transform property. Conduct Laplace Transform, Properties of Laplace transform, ROC. Plot frequency spectrum, phase and amplitude. Use MATLAB to perform simple signal processing tasks for continuous-time signals and systems.
Chapter 1. Sampling and Digital Signal/System Adavantages
Continuous and discrete time signals
Signal Manipulation
Basic Signal Properties
Discrete time convolution
Useful Signal Operations
Discrete time Signal Modeling
Discrete Time Systems
Discrete Time Systems Equations
The Unit Impulse Response
The Zero State Response
System Stability
MATLAB Applications
Chapter 2. Time-Domain Analysis of Discrete Time Systems
Chapter 3. Discrete Time System Analysis Using the Z - Transform
The z_Transform
Properties of the z-Transform
z-Transform of Linear Difference Equations
System Realization
Frequency Response of Discrete Time Systems
The Bilateral z-Transform
MATLAB Applications
Chapter 4. Sampling: from Continuous to Discrete
The Sampling Theorem
Signal Reconstruction
Numerical Computation of Fourier Transform: Discrete Fourier Transform
MATLAB Applications
Chapter 5. Fourier Analysis of Discrete Time Signals
Discrete Time Fourier Series (DTFS)
Aperiodic Signals Representation by Fourier Integral
LTI Discrete Time System Analysis by DTFT
DTFT Connection with CTFT
MATLAB Applications
Chapter 6. State Space Analysis of Discrete Time Systems
Solution in State Space
The z-Transform Solution
Bibliography
Lathi, B. P. Linear Systems. 2th ed.Oxford University Press, New York and Oxford, 2010.
