Continued fractions and signal processing [electronic resource]

• 作者： Sauer, Tomas.
• 其他作者：
  • SpringerLink (Online service)
• 其他題名：
  • Springer undergraduate texts in mathematics and technology.
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Springer undergraduate texts in mathematics and technology,
• 主題： Continued fractions. , Signal processing--Mathematics. , Numerical Analysis. , Field Theory and Polynomials. , Information and Communication, Circuits. , Mathematics in Music.
• ISBN： 9783030843601 (electronic bk.) 、 9783030843595 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 1. Continued fractions and what can be done with them -- 2. Continued fractions of real numbers -- 3. Rational functions as continued fractions of polynomials -- 4.Continued Fractions and Gauss -- 5. Continued Fractions and Prony -- 6. Digital Signal processing -- 7.Contined Fractions, Hurwitz and Stieltjes.
• More
• 摘要註: Besides their well-known value in number theory, continued fractions are also a useful tool in modern numerical applications and computer science. The goal of the book is to revisit the almost forgotten classical theory and to contextualize it for contemporary numerical applications and signal processing, thus enabling students and scientist to apply classical mathematics on recent problems. The books tries to be mostly self-contained and to make the material accessible for all interested readers. This provides a new view from an applied perspective, combining the classical recursive techniques of continued fractions with orthogonal problems, moment problems, Prony's problem of sparse recovery and the design of stable rational filters, which are all connected by continued fractions.
• 讀者標籤：

  需登入
• 引用連結：

  Copy Link
• 目前引用數
• Share: