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Quantization

Definition

Basic Cell

Theorem

Bucklew and Wise

Theorem

Centroid Condition

Theorem

Centroid Condition for MSE

Definition

Closed-loop Prediction Gain

Definition

Closed-loop Predictive Quantization

Definition

Closed-loop Predictor Coefficients

Definition

Coding Gain

Definition

Companding Quantization

Definition

Convex Polytope

Definition

Difference Quantization

Definition

Encoder Decoder Structure of Quantization

Theorem

Existence of Companding Realization

Definition

FIR Filter

Definition

High-Resolution Conditions

Definition

High-Resolution Conditions LVQ

Theorem

High-Resolution Optimal Vector Quantizer

Definition

Lattice

Definition

Lattice Vector Quantizer

Definition

Linear Prediction

Definition

Lloyd-Max Algorithm

Definition

Lloyd-Max Quantizer

Theorem

Nearest Neighbour Condition

Definition

Nearest Neighbour Vector Quantizer (NNVQ)

Theorem

Optimal Compressor

Definition

Optimal Quantizer

Definition

Optimal Vector Quantizer

Theorem

Orthogonality Principle

Definition

Performance Analysis of Quantizers

Theorem

Prediction Error Upper Bound

Theorem

Predictive Quantization vs Scalar Quantization

Definition

Quantizer Cell

Definition

Regular Quantizer

Definition

Regular Vector Quantizer

Definition

Scalar Quantizer

Definition

Signal to Noise Ratio

Definition

System SNR

Definition

Uniform Quantizer

Definition

Vector Quantizer

Definition

Voronoi Regions

Definition

Wide Sense Stationary Process

Definition

WSS Predictor Coefficients