Speech Synthesis and Processing

  1. Digital Signal Processing for Speech
    1. Analog-to-Digital Conversion
      1. Sampling Theory
        1. Nyquist-Shannon Sampling Theorem
          1. Sampling Rate Requirements
            1. Aliasing and Anti-aliasing
              1. Oversampling Techniques
              2. Quantization Process
                1. Uniform Quantization
                  1. Non-uniform Quantization
                    1. Quantization Error and Noise
                      1. Signal-to-Quantization-Noise Ratio
                      2. Companding Techniques
                        1. A-law Companding
                          1. μ-law Companding
                            1. Companding Characteristics
                              1. International Standards
                              2. Bit Depth and Dynamic Range
                                1. Resolution Effects
                                  1. Dithering Techniques
                                    1. Noise Shaping
                                  2. Time-Domain Analysis
                                    1. Digital Signal Representation
                                      1. Discrete-time Signals
                                        1. Sampling and Reconstruction
                                          1. Signal Visualization
                                          2. Frame-based Processing
                                            1. Windowing Functions
                                              1. Rectangular Window
                                                1. Hamming Window
                                                  1. Hanning Window
                                                    1. Blackman Window
                                                    2. Frame Size Selection
                                                      1. Overlap Processing
                                                      2. Short-term Energy Analysis
                                                        1. Energy Calculation Methods
                                                          1. Smoothing Techniques
                                                            1. Applications in Speech Activity Detection
                                                            2. Zero-crossing Rate
                                                              1. Calculation Methods
                                                                1. Voicing Detection Applications
                                                                  1. Noise Robustness
                                                                  2. Autocorrelation Analysis
                                                                    1. Mathematical Definition
                                                                      1. Computational Methods
                                                                        1. Pitch Period Estimation
                                                                          1. Periodicity Measures
                                                                        2. Frequency-Domain Analysis
                                                                          1. Fourier Transform Theory
                                                                            1. Continuous Fourier Transform
                                                                              1. Fourier Transform Properties
                                                                                1. Frequency Domain Interpretation
                                                                                2. Discrete Fourier Transform (DFT)
                                                                                  1. DFT Definition and Properties
                                                                                    1. DFT Matrix Representation
                                                                                      1. Circular Convolution
                                                                                        1. Frequency Resolution
                                                                                        2. Fast Fourier Transform (FFT)
                                                                                          1. Radix-2 FFT Algorithm
                                                                                            1. Computational Complexity
                                                                                              1. Implementation Considerations
                                                                                                1. Zero-padding Effects
                                                                                                2. Short-Time Fourier Transform (STFT)
                                                                                                  1. STFT Definition
                                                                                                    1. Time-Frequency Trade-offs
                                                                                                      1. Window Selection Effects
                                                                                                        1. Spectrogram Generation
                                                                                                        2. Cepstral Analysis
                                                                                                          1. Real Cepstrum
                                                                                                            1. Definition and Calculation
                                                                                                              1. Homomorphic Processing
                                                                                                                1. Pitch Detection Applications
                                                                                                                2. Complex Cepstrum
                                                                                                                  1. Phase Unwrapping
                                                                                                                    1. Minimum Phase Systems
                                                                                                                    2. Mel-Frequency Cepstral Coefficients (MFCCs)
                                                                                                                      1. Mel Filter Bank Design
                                                                                                                        1. DCT Application
                                                                                                                          1. Feature Vector Construction
                                                                                                                            1. Delta and Delta-Delta Features
                                                                                                                        2. Digital Filtering
                                                                                                                          1. Filter Design Principles
                                                                                                                            1. Filter Specifications
                                                                                                                              1. Frequency Response
                                                                                                                                1. Phase Response
                                                                                                                                  1. Group Delay
                                                                                                                                  2. FIR Filter Design
                                                                                                                                    1. Window Method
                                                                                                                                      1. Frequency Sampling Method
                                                                                                                                        1. Optimal Filter Design
                                                                                                                                          1. Linear Phase Properties
                                                                                                                                          2. IIR Filter Design
                                                                                                                                            1. Bilinear Transform
                                                                                                                                              1. Impulse Invariance
                                                                                                                                                1. Butterworth Filters
                                                                                                                                                  1. Chebyshev Filters
                                                                                                                                                    1. Elliptic Filters
                                                                                                                                                    2. Filter Banks
                                                                                                                                                      1. Uniform Filter Banks
                                                                                                                                                        1. Non-uniform Filter Banks
                                                                                                                                                          1. Perfect Reconstruction
                                                                                                                                                            1. Polyphase Implementation