A formulation of noise operators and their applications

John E. Gray; Stephen R. Addison

doi:10.1117/12.2519923

3 May 2019 A formulation of noise operators and their applications

John E. Gray, Stephen R. Addison

Proceedings Volume 11003, Radar Sensor Technology XXIII; 110030K (2019) https://doi.org/10.1117/12.2519923
Event: SPIE Defense + Commercial Sensing, 2019, Baltimore, MD, United States

Abstract

In previous work, we have discussed the use of operators to solve some signal analysis problems that are at the heart of some signal processing and analysis problems. In this paper, we extend the formalism to include noise by the introduction of a noise operator as an alternative way to think about the various signal in noise problems in radar and sonar. In addition, we show how non-linear combinations of signal with noise can be analyzed as noise operators acting on signals can expressed as combinations of operators with random parameters with a given distribution acting on the signal. Then, we show that the noise reverberation or clutter problem can be thought of as a parameter randomized operator acting on signals in either the radar and sonar domain. Then, we note that this formulation lends itself to finding unexpected consequences of non-linear transformations of random variables. Finally, we note a radar problem first addressed by Cartwright and Littlewood in WWII of identifying a spectrum being produced by a non-linearity in a circuit versus noise can be attacked by these methods.

Conference Presentation

Citation Download Citation

John E. Gray and Stephen R. Addison "A formulation of noise operators and their applications", Proc. SPIE 11003, Radar Sensor Technology XXIII, 110030K (3 May 2019); https://doi.org/10.1117/12.2519923

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available