SIGNALS AND SYSTEMS
                        (031049A)
 
 

                        Contents:
 

1. INTRODUCTION

1.1. Classification of Signals
1.2. Time Domain Analysis of Signals
1.3. Frequency

2. FOURIER ANALYSIS

2.0. Orthogonal Series Expansions
2.1. Periodic Analog Signals (Fourier Series)
2.2. Nonperiodic Analog Signals (Fourier (Integral) Transform)
        2.2.1. Definition, Frequency Spectrum
        2.2.2. Properties of the Fourier transform, Convoluution
        2.2.3. Dirac's Delta Function, Impulses
        2.2.4. Discrete Fourier Transformation (DFT) and FFT
2.3. Periodic Discrete Signals
2.4. Nonperiodic Discrete Signals (Fourier (Sum) Transform)
2.5. Windowing and Extrapolation
        2.5.1. Windowing
        2.5.2. Extrapolation
        2.5.3. PS-Eigenfunction Expansion
        2.5.4. Iteration Method

3. LINEAR TIME INVARIANT (LTI) SYSTEM

3.1. Analog LTI System
3.2. Discrete LTI system
3.3. Systems in Series and Parallel, Feedback Systems

4. ANALOG LTI SYSTEM

4.1. Transfer Function, Amplitude Response, Phase Response
4.2. Stability
4.3. Distortionless Transmission
4.4. Low Pass, High Pass, Band Pass, Band Stop Filter
4.5. Hilbert Transform
4.6. Amplitude Modulation
4.7. Phase Modulation, FM, PM Modulation
4.8. Sampling of Analog Band Pass Signals
4.9. Reconstruction of Analog Signals from Samples, D/A Transformer
        4.9.1. Zero-Order Hold
        4.9.2. First-Order Hold
        4.9.3. First-Order Hold with Delay
        4.9.4. Time Division Multiplexing, Frequency Division Multiplexing
4.10. Digital Simulation of Analog Systems

5. DISCRETE LTI SYSTEMS

5.1 Frequency Response, Amplitude Response, Phase Response, Stability
5.2. Distortionless Transmission, Linear Phase FIR Filter
5.3. Low Pass Filter -> High Pass Filter
5.4. Design of Digital Filters by Zeros and Poles
5.5. System Identification, Inverse System
        5.5.1. Inverse System
        5.5.2. System Identification and Deconvolution
        5.5.3. System Identification and the Least Squares Method
5.6. Design of IIR Filters by Analog Filters
        5.6.1. Design of IIR Filters by Approximation of Derivatives
        5.6.2. Impulse Invariance Method
        5.6.3. Design of IIR Filters, Bilinear Method

6. STATE SPACE ANALYSIS

6.1. Realization of a Discrete LTI System
6.2. State Model
6.3. Diagonalization, Decoupling