http://iet.metastore.ingenta.com
1887

• Author(s):
• DOI:

£10.00
(plus tax if applicable)
10 chapters for £75.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Name:*
Email:*
Name:*
Email:*
Department:*
Why are you recommending this title?
Select reason:

## Thank you

Gradient algorithms are popular because they are simple, easy to understand, and solve a large class of problems. The performance and adaptive weights determine the nature of the performance surface. When performance is a quadratic function of the weight settings, then it is a bowl-shaped surface with a minimum at the 'bottom of the bowl.' In this case, local optimization methods, such as gradient methods, can find the bottom. In the event that the performance surface is irregular, having several relative optima or saddle points, then the transient response of the gradient-based minimum-seeking algorithms get stuck in a local minimum. The gradient-based algorithms considered in this chapter are as follows: least mean square (LMS); Howells-Applebaum loop; differential steepest descent (DSD); accelerated gradient (AG); and steepest descent for power minimization.

Chapter Contents:

• 4.1 Introductory Concepts
• 4.2 The LMS Algorithm
• 4.3 The Howells-Applebaum Adaptive Processor
• 4.4 Introduction of Main Beam Constraints
• 4.5 Constraint for the Case of Known Desired Signal Power Level
• 4.6 The DSD Algorithm
• 4.7 The Accelerated Gradient Approach (AG)
• 4.8 Gradient Algorithm with Constraints
• 4.9 Simulation Results
• 4.10 Phase-Only Adaptive Nulling Using Steepest Descent
• 4.11 Summary and Conclusions
• 4.12 Problems
• 4.13 References

Inspec keywords:

Subjects:

Preview this chapter:

Gradient-Based Algorithms, Page 1 of 2

| /docserver/preview/fulltext/books/ew/sbew046e/SBEW046E_ch4-1.gif /docserver/preview/fulltext/books/ew/sbew046e/SBEW046E_ch4-2.gif

### Related content

content/books/10.1049/sbew046e_ch4
pub_keyword,iet_inspecKeyword,pub_concept
6
6
This is a required field