Advertisement

Noise Estimation in Multiple–Coil MR Data

  • Santiago Aja-Fernández
  • Gonzalo Vegas-Sánchez-Ferrero
Chapter

Abstract

The estimators presented in the previous chapter were focused on single-coil acquisitions. Here, we extend those results to the particular case of multiple-coil acquisitions in which the magnitude signal is reconstructed using Sum of Squares (SoS) or a Spatial matched filter (SMF). In addition, we assume that there exist no correlations among coils, and all of them show the same variance of noise. As a consequence, the magnitude signal follows a stationary noncentral- \(\chi \) distribution (nc-\(\chi \)) if SoS is used, or a stationary Rician one, in the case of SMF. We focus on the SoS case and the nc-\(\chi \) distribution, since the Rician case is studied in Chap.  7. The main noise estimators for the nc-\(\chi \) are thus reviewed and classified. Most of the methods proposed are basically extrapolations of the Rician estimators to the nc-\(\chi \). In the last part of the chapter, different estimators are compared and a performance analysis is done using synthetic and real data.

Keywords

Noise Estimator Signal Area Noise Estimation Sample Moment Rician Noise 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Santiago Aja-Fernández
    • 1
  • Gonzalo Vegas-Sánchez-Ferrero
    • 2
  1. 1.ETSI TelecomunicaciónUniversidad de ValladolidValladolidSpain
  2. 2.Harvard Medical SchoolBrigham and Womenʾs HospitalBostonUSA

Personalised recommendations