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This chapter introduces basic concepts needed for understanding wavelet and multiresolution analysis. It starts with vector spaces which help in representing signals. Then the concept of signal space is discussed and describes how signals can be analyzed using mathematical tools. The concept of inner product is discussed, which is used to measure similarity between signals. Finally, the chapter covers orthonormal basis functions which are important for breaking down and reconstructing signals. These ideas form the foundation for understanding wavelet transforms in later chapters.

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Signal Space Concept

  • 章节

  • 发表日期：

    2025年

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  • M S Sinith,
  • Gayathri A,
  • Chithra K R

摘要

This chapter introduces basic concepts needed for understanding wavelet and multiresolution analysis. It starts with vector spaces which help in representing signals. Then the concept of signal space is discussed and describes how signals can be analyzed using mathematical tools. The concept of inner product is discussed, which is used to measure similarity between signals. Finally, the chapter covers orthonormal basis functions which are important for breaking down and reconstructing signals. These ideas form the foundation for understanding wavelet transforms in later chapters.