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Signals and Systems
Text book
Oppenheim"Signals and Systems" , Pearson Education, 1997, 2e (ISBN-13:9780136511755)
Grading
Attendance 20% , Quiz1 20% , Midterm 20% , Quiz3 20% , Final term 20%
Week Contents Lecture
1 Ch1a
2
1.5 Continuous-Time and Discrete-Time Systems
1.6 Basic System Properties.
2. Linear Time-Invariant Systems.
3
2.1 Discrete-Time LTI Systems: The Convolution Sum.
2.2 Continuous-Time LTI Systems: The Convolution Integral.
2.3 Properties of Linear Time-Invariant Systems.
4
2.4 Causal LTI Systems Described by Differential and Difference Equations.
2.5 Singularity Functions.
3. Fourier Series Representation of Periodic Signals.
3.2 The Response of LTI Systems to Complex Exponentials.
5
3.3 Fourier Series Representation of Continuous-Time Periodic Signals.
3.4 Convergence of the Fourier Series.
6
3.5 Properties of Continuous-Time Fourier Series.
3.6 Fourier Series Representation of Discrete-Time Periodic Signals.
3.7 Properties of Discrete-Time Fourier Series.
7
3.8 Fourier Series and LTI Systems.
3.9 Filtering.
3.10 Examples of Continuous-Time Filters Described by Differential Equations.
3.11 Examples of Discrete-Time Filters Described by Difference Equations.
4. The Continuous-Time Fourier Transform.
4.1 Representation of Aperiodic Signals: The Continuous-Time Fourier Transform.
9
4.2 The Fourier Transform for Periodic Signals.
4.3 Properties of the Continuous-Time Fourier Transform.
10
4.4 The Convolution Property.
4.5 The Multiplication Property.
4.6 Tables of Fourier Properties and Basic Fourier Transform Pairs.
4.7 Systems Characterized by Linear Constant-Coefficient Differential Equations.
5. The Discrete-Time Fourier Transform.
5.1 Representation of Aperiodic Signals: The Discrete-Time Fourier Transform.
11
5.2 The Fourier Transform for Periodic Signals.
5.3 Properties of the Discrete-Time Fourier Transform.
12
5.4 The Convolution Property.
5.5 The Multiplication Property.
5.6 Tables of Fourier Transform Properties and Basic Fourier Transform Pairs.
5.7 Duality.
5.8 Systems Characterized by Linear Constant-Coefficient Difference Equations.
6. Time- and Frequency Characterization of Signals and Systems.
13
6.1 The Magnitude-Phase Representation of the Fourier Transform.
6.2 The Magnitude-Phase Representation of the Frequency Response of LTI Systems.
6.3 Time-Domain Properties of Ideal Frequency-Selective Filters.
14
6.4 Time- Domain and Frequency-Domain Aspects of Nonideal Filters.
6.5 First-Order and Second-Order Continuous-Time Systems.
6.6 First-Order and Second-Order Discrete-Time Systems.
6.7 Examples of Time- and Frequency-Domain Analysis of Systems.
16
7. Sampling.
7.1 Representation of a Continuous-Time Signal by Its Samples: The Sampling Theorem.
7.2 Reconstruction of a Signal from Its Samples Using Interpolation.
7.3 The Effect of Undersampling: Aliasing.
7.4 Discrete-Time Processing of Continuous-Time Signals.
7.5 Sampling of Discrete-Time Signals.
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