Convex Optimization for Signal Processing and Communications
eBook - ePub

Convex Optimization for Signal Processing and Communications

From Fundamentals to Applications

  1. 432 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Convex Optimization for Signal Processing and Communications

From Fundamentals to Applications

About this book

Convex Optimization for Signal Processing and Communications: From Fundamentals to Applications provides fundamental background knowledge of convex optimization, while striking a balance between mathematical theory and applications in signal processing and communications.

In addition to comprehensive proofs and perspective interpretations for core convex optimization theory, this book also provides many insightful figures, remarks, illustrative examples, and guided journeys from theory to cutting-edge research explorations, for efficient and in-depth learning, especially for engineering students and professionals.

With the powerful convex optimization theory and tools, this book provides you with a new degree of freedom and the capability of solving challenging real-world scientific and engineering problems.

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
No, books cannot be downloaded as external files, such as PDFs, for use outside of Perlego. However, you can download books within the Perlego app for offline reading on mobile or tablet. Learn more here.
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Convex Optimization for Signal Processing and Communications by Chong-Yung Chi,Wei-Chiang Li,Chia-Hsiang Lin in PDF and/or ePUB format, as well as other popular books in Technology & Engineering & Information Technology. We have over one million books available in our catalogue for you to explore.
1 Mathematical Background
Convex (CVX) optimization is an important class of optimization techniques that includes least squares and linear programs as special cases, and has been extensively used in various science and engineering areas. If one can formulate a practical problem as a convex optimization problem, then actually he (she) has solved the original problem (for an optimal solution either analytically or numerically), like least squares (LS) or linear program, (almost) technology. This chapter provides some essential mathematical basics of vector spaces, norms, sets, functions, matrices, and linear algebra, etc., in order to smoothly introduce the CVX optimization theory from fundamentals to applications in each of the following chapters. It is expected that the CVX optimization theory will be more straightforward and readily understood and learned.
1.1 Mathematical prerequisites
In this section, let us introduce all the notations and abbreviations and some mathematical preliminaries that will be used in the remainder of the book. Our notations and abbreviations are standard, following those widely used in convex optimization for signal processing and communication...

Table of contents

  1. Cover
  2. Half Title
  3. Title Page
  4. Copyright Page
  5. Table of Contents
  6. Preface
  7. 1 Mathematical Background
  8. 2 Convex Sets
  9. 3 Convex Functions
  10. 4 Convex Optimization Problems
  11. 5 Geometric Programming
  12. 6 Linear Programming and Quadratic Programming
  13. 7 Second-order Cone Programming
  14. 8 Semidefinite Programming
  15. 9 Duality
  16. 10 Interior-point Methods
  17. A Appendix: Convex Optimization Solvers
  18. Index