Digital Signal Processing

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Digital Signal Processing by Mind Map: 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. Argand Diagram

2.3. Matrix interpretation

2.4. 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

8. 8. Multirate Signal Processing

8.1. Decimation

8.2. Interpolation

8.3. Oversampling

9. 9. Random Signal Processing

9.1. Power Density Spectrum

9.2. Rational Power Spectra

9.2.1. Decimation

10. 10. Probability & Power Spectra Density

10.1. Auto-Correlation

10.2. Cross-correlation

10.3. Properties of correlation

11. 11. Adaptive Filter

11.1. LMS Algorithm

11.2. RMS Algorithm