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Introduction. Signal Processing Techniques. Stochastic Processes and Models. Linear Prediction. Scalar Quantization. Pulse Code Modulation and Its Variants. Vector Quantization of Linear Prediction Coefficient. Linear Prediction Coding. Regular-Pulse Excitation Coders. Code-Excited Linear Prediction. The Federal Standard Version of CELP. Vector Sum Excited Linear Prediction. Low-Delay CELP. Vector Quantization of Linear Prediction Coefficient. Algebraic CELP. Mixed Excitation Linear Prediction. Source-Controlled Variable Bit-Rate CELP. Speech Quality Assessment. Appendix A: Mimimum-Phase Property of the Forward Prediction-Error Filter. Appendix B: Some Properties of Line Spectral Frequency. Appendix C: Research Directions in Speech Coding. Appendix D: Linear Combiner for Pattern Classification. Appendix E: CELP: Optimal Long-Term Predictor to Minimize the Weighted Difference. Appendix F: Review of Linear Algebra: Orthogonality, Basis, Linear Independence, and the Gram-Schmidt Algorithm.