1.11 Applications of Fourier Series and Integrals

1.11 Applications of Fourier Series and Integrals

  • You can use a change of variable.
  • The most basic tools of applied mathematics are the Fourier series and integrals.
    • There are a few applications that do not fall within the scope of the rest of the book.

  • A large response can be caused by a small denominator.

  • The sampling theorem is one of the most important results of information theory.

  • There is an easy way to find the Fourier transform of a function.
  • By using Eq.
  • This is the main result.
  • It is difficult to determine what functions are limited.
    • The process usually works well.
  • 2 can be approximated from a finite portion of the sum.
    • The function is not functioning.
  • There are graphs of approximation using sampling.

  • There are other ways to solve the differential equation.