Solutions to Exercises

Solutions are organized by chapter. Each chapter’s solutions are added when that chapter’s exercises are finalized.

Chapter 1: Why Quantization?

To be written.

Chapter 2: Numbers, Modular Arithmetic, and Cosets

To be written.

Chapter 3: Vectors and Euclidean Geometry

To be written.

Chapter 4: Classical Vector Quantization

To be written.

Chapter 5: Lattices from First Principles

To be written.

Chapter 6: The D4 Lattice

To be written.

Chapter 7: Nearest Lattice Point Algorithms

To be written.

Chapter 8: Lattice Vector Quantization

To be written.

Chapter 9: Quotient Groups and Finite Codebooks

To be written.

Chapter 10: Hierarchical Nested Lattice Quantization

To be written.

Chapter 11: One-Sided Lookup Tables

To be written.

Chapter 12: Matrix Multiplication with Hierarchical Nested Lattice Quantization (HNLQ)

To be written.

Chapter 13: HNLQ in Practice

To be written.

Chapter 14: Beyond D4

To be written.

Chapter 15: Barnes-Wall Lattices

To be written.

Chapter 16: Reed-Muller Codes

To be written.

Chapter 17: Bit-Plane Representations

To be written.

Chapter 18: Toward Binary-Domain Computation

To be written.