1. Discrete-Time Signals and Systems
1.1 Concept of frequency in discrete-time signals
1.2 Sampling analog signals
1.3 Discrete-time signals
1.4 Discrete-time systems
1.5 Analysis of LTI discrete-time systems
1.6 Correlation in discrete-time systems
2. Z-Transform
2.1 Z-Transform Definition
2.2 Z-Transform Properties
2.3 Rational Z-Transform
2.4 Inverse Z-Transform Methods
2.5 One-side Z-Transform
2.6 Analysis of LTI systems in the Z-domain
3. Frequential Analysis of Signals
3.1 Frequential Analysis of analog signals
3.2 Frequential Analysis of discrete-time signals
3.3 Time-Frequency Duality
3.4 Sampling in time and frequency domains
3.5 Fast Fourier Transform (FFT)
4. Frequency Response of LTI systems
4.1 Response to complex exponential signals
4.2 Transient and Stationary Response
4.3 Relation between the Z-Transform and the Frequency Response
4.4 Phase Delay and Group Delay
5. Digital Filter Design
5.1 Clasification of Digital Filters
6. Digital IIR Filter Design
6.1 Design Methodology
6.2 Converting Specifications to Lowpass
6.3 Butterworth Analog Filters
6.4 Chebyshev-I Analog Filters
6.5 Chebyshev-II Analog Filters
6.6 Converting Lowpass filters to original filter
6.7 s to z plane Transforms
6.8 Digital IIR Filter Design Overview
7. Digital FIR Filter Design
7.1 Simetric Sequences
7.2 Fourier Series Method
7.3 Frequency Sampling Method
7.4 Design of optimal FIR filters
8. Realizations of Digital Filters
9. Quantization Effects in digital filters
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