As an introduction, the initial value problem for a vibrating string is treated as an application of Fourier expansions to a differential equation. The solutions are first prototypes of signals that will be studied in later chapters. Theoretical questions are discussed for approximate solutions by trigonometric polynomials and series solutions, which are subsequently answered.

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Introduction

  • Rolf Brigola

摘要

As an introduction, the initial value problem for a vibrating string is treated as an application of Fourier expansions to a differential equation. The solutions are first prototypes of signals that will be studied in later chapters. Theoretical questions are discussed for approximate solutions by trigonometric polynomials and series solutions, which are subsequently answered.