Signals and Systems / 1: |
Continuous-Time and Discrete-Time Signals |
Transformations of the Independent Variable |
Exponential and Sinusoidal Signals |
The Unit Impulse and Unit Step Functions |
Continuous-Time and Discrete-Time Systems |
Basic System Properties |
Linear Time-Invariant Systems / 2: |
Discrete-Time LTI Systems: The Convolution Sum |
Continuous-Time LTI Systems: The Convolution Integral |
Properties of Linear Time-Invariant Systems |
Causal LTI Systems Described by Differential and Difference Equations |
Singularity Functions |
Fourier Series Representation of Periodic Signals / 3: |
A Historical Perspective |
The Response of LTI Systems to Complex Exponentials |
Fourier Series Representation of Continuous-Time Periodic Signals |
Convergence of the Fourier Series |
Properties of Continuous-Time Fourier Series |
Fourier Series Representation of Discrete-Time Periodic Signals |
Properties of Discrete-Time Fourier Series |
Fourier Series and LTI Systems |
Filtering |
Examples of Continuous-Time Filters Described by Differential Equations |
Examples of Discrete-Time Filters Described by Difference Equations |
The Continuous-Time Fourier Transform / 4: |
Representation of Aperiodic Signals: The Continuous-Time Fourier Transform |
The Fourier Transform for Periodic Signals |
Properties of the Continuous-Time Fourier Transform |
The Convolution Property |
The Multiplication Property |
Tables of Fourier Properties and Basic Fourier Transform Pairs |
Systems Characterized by Linear Constant-Coefficient Differential Equations |
The Discrete-Time Fourier Transform / 5: |
Representation of Aperiodic Signals: The Discrete-Time Fourier Transform |
Properties of the Discrete-Time Fourier Transform |
Tables of Fourier Transform Properties and Basic Fourier Transform Pairs |
Duality |
Systems Characterized by Linear Constant-Coefficient Difference Equations |
Time- and Frequency Characterization of Signals and Systems / 6: |
The Magnitude-Phase Representation of the Fourier Transform |
The Magnitude-Phase Representation of the Frequency Response of LTI Systems |
Time-Domain Properties of Ideal Frequency-Selective Filters |
Time- Domain and Frequency-Domain Aspects of Nonideal Filters |
First-Order and Second-Order Continuous-Time Systems |
First-Order and Second-Order Discrete-Time Systems |
Examples of Time- and Frequency-Domain Analysis of Systems |
Sampling / 7: |
Representation of a Continuous-Time Signal by Its Samples: The Sampling Theorem |
Reconstruction of a Signal from Its Samples Using Interpolation |
The Effect of Undersampling: Aliasing |
Discrete-Time Processing of Continuous-Time Signals |
Sampling of Discrete-Time Signals |
Communication Systems / 8: |
Complex Exponential and Sinusoidal Amplitude Modulation |
Demodulation for Sinusoidal AM. Frequency-Division Multiplexing |
Single-Sideband Sinusoidal Amplitude Modulation |
Amplitude Modulation with a Pulse-Train Carrier |
Pulse-Amplitude Modulation |
Sinusoidal Frequency Modulation |
Discrete-Time Modulation |
The Laplace Transform / 9: |
The Region of Convergence for Laplace Transforms |
The Inverse Laplace Transform |
Geometric Evaluation of the Fourier Transform from the Pole-Zero Plot |
Properties of the Laplace Transform |
Some Laplace Transform Pairs |
Analysis and Characterization of LTI System |
Signals and Systems / 1: |
Continuous-Time and Discrete-Time Signals |
Transformations of the Independent Variable |