Digital Signal Processing

1. 5. FIR Filter

1.1. Direct-form structure

1.2. cascade-form structure

1.3. Frequency-sampling structure

2. 6. IIR Filter

2.1. Direct-form structure

2.2. Cascade-form structure

2.3. Lattice structure

2.4. Transposed structure

3. 7. IIR Filter Design

3.1. Approximation of Derivatives

3.2. Impulse Invariance

3.3. Bilinear Transformation

4. 8. Multirate Signal Processing

4.1. Decimation

4.2. Interpolation

4.3. Oversampling

5. 9. Random Signal Processing

5.1. Power Density Spectrum

5.2. Rational Power Spectra

5.2.1. Decimation

6. 10. Probability & Power Spectra Density

6.1. Auto-Correlation

6.2. Cross-correlation

6.3. Properties of correlation

7. 1. Introduction to DSP

7.1. Type of signal

7.2. Analog to digital

7.3. Aliasing

7.4. DSP applications

8. 2. Discrete Fourier Transform

8.1. CFT to DFT

8.2. Argand Diagram

8.3. Matrix interpretation

8.4. Properties of DFT

9. 3. Fast Fourier Transform

9.1. DFT to FFT

9.2. Divide & Conquer algorithm

9.3. Radix-2 FFT

9.4. Radix-4 FFT

10. 4. Windows for Filtering

10.1. Type of Filter

10.2. Signal-to-noise ratio

10.3. Frequency sampling design method

10.4. Window design method

10.5. Spectral leakage

11. 11. Adaptive Filter

11.1. LMS Algorithm

11.2. RMS Algorithm