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. Introduction
Continuous and discrete time signals
Signal Manipulation
Basic Signal Properties
Discrete time convolution
Continuous time convolution
Relationship of generic system properties to the impulse response for an LTI system
Use of differential and difference equations as models for LTI systems
Chapter 2. Time-Domain Analysis of Continuous Time Systems
Chapter 3. Continuous-Time Signal Analysis: Fourier Series
Definition and derivation of the CTFT
Fourier transform representation of periodic signals using the CTFT
Properties of the CTFT
Convolution-multiplication duality and the CTFT
Chapter 4. Continuous Time Signal Analysis: Fourier Transform
Aperiodic Signal Representation by the courier Integral
Transform of some useful Functions
Properties of Fourier Transform
Signal Transmission through LTIC Systems
Applications to Communication Systems
Data Truncation: Window Functions
MATLAB Fourier Tranform
Chapter 5. Continuous Time Analysis: Laplace Transform
Definition and relationship of Laplace transform to CTFT
Region of convergence
Inverse Laplace transform via partial fraction expansion method
Geometry evaluation of the CTFT via the pole zero plot.
Properties of the Laplace transform
Relationship of causality and stability to structure in the Laplace s plane
Chapter 6. State Space Analysis
Definition of State Vector
Review of Matrix Algebra
Representation in State-Variable form
Bibliography
Lathi, B. P. Linear Systems. 2th ed.Oxford University Press, New York and Oxford, 2010.
