
What are you going to learn?
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.
Content
Chapter 1. Sampling and Digital Signal/System Advantages
- Continuous and discrete time signals
- Signal Manipulation
- Basic Signal Properties
Chapter 2. Time-Domain Analysis of Discrete Time Systems
- 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 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.
