Abstract
This chapter is a generalization of the two previous ones. We clearly show how to do beamforming with any order linear difference equations by first explaining the signal model. Then, performance measures are defined and useful fixed and adaptive beamformers are derived in this general context, which also includes conventional beamforming as a particular case.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
N = 0 corresponds to conventional beamforming.
- 2.
Notice that the last N diagonal elements of A n, i.e., A n,M−N+1, A n,M−N+2, …, A n,M, are completely irrelevant since they vanish in all equations, but they are included in the definition of the matrices for convenience.
References
J. Benesty, I. Cohen, J. Chen, Fundamentals of Signal Enhancement and Array Signal Processing (Wiley–IEEE Press, Singapore, 2018)
J.N. Franklin, Matrix Theory (Prentice-Hall, Englewood Cliffs, 1968)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Benesty, J., Cohen, I., Chen, J. (2021). Beamforming with Higher-Order Linear Difference Equations. In: Array Beamforming with Linear Difference Equations. Springer Topics in Signal Processing, vol 20. Springer, Cham. https://doi.org/10.1007/978-3-030-68273-6_5
Download citation
DOI: https://doi.org/10.1007/978-3-030-68273-6_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-68272-9
Online ISBN: 978-3-030-68273-6
eBook Packages: EngineeringEngineering (R0)