Vector Space Methods in Signal Processing

Öktem S. F.

• Dersin Düzeyi: Lisans
• Tasarlanan Ders Kodu: 5670499
• Öğretim Türü: Örgün Öğretim (Normal Öğretim)
• Dersin Kapsamı: Teorik
• Akademik Yıl: 2018 - 2019
• Ders İçeriği:

  The main goal of this course is to bridge the gap between introductory signal processing classes (EE430) and the mathematics prevalent in signal processing research and practice, by providing a unified applied treatment of fundamental mathematics and vector-space framework.

  The course content is as follows:
  

  Vector-space concepts in relation to signals and systems; signal subspaces; signal representation in
  different bases; norms and inner products; systems as operators; projectors; linear algebraic and
  statistical approaches to solving linear equations; least-squares problems; linear minimum mean square
  error estimation; solving large-dimensional linear equation systems; applications in signal processing
  including filter design, approximation, interpolation, data compression, signal estimation and inverse
  problems.