Digital Signal Processing

1. 1. Introduction to DSP

1.1. Type of signal

1.2. Analog to digital

1.3. Aliasing

1.4. DSP applications

2. 2. Discrete Fourier Transform

2.1. CFT to DFT

2.2. Matrix interpretation

2.3. Properties of DFT

3. 3. Fast Fourier Transform

3.1. DFT to FFT

3.2. Divide & Conquer algorithm

3.3. Radix-2 FFT

3.4. Radix-4 FFT

4. 4. Windows for Filtering

4.1. Type of Filter

4.2. Signal-to-noise ratio

4.3. Frequency sampling design method

4.4. Window design method

4.5. Spectral leakage

5. 5. FIR Filter

5.1. Direct-form structure

5.2. cascade-form structure

5.3. Frequency-sampling structure

6. 6. IIR Filter

6.1. Direct-form structure

6.2. Cascade-form structure

6.3. Lattice structure

6.4. Transposed structure

7. 7. IIR Filter Design

7.1. Approximation of Derivatives

7.2. Impulse Invariance

7.3. Bilinear Transformation