title: Separation of Physiological Signals Using Minimum Norm Projection Operators.
abstract: This paper presents the development of a fast and robust method which can be applied to multichannel physiologic signals for the purpose of either removing a selected interfering signal or separating signals that arise from temporally correlated and spatially distributed signals such as maternal or fetal cardiac waveform recordings.
  
  
  
  Projection operators based upon both the weighted and un-weighted minimum norm equations are presented. The weighted formulation uses models based on signal covariance and the un-weighted formulation requires that a statistical model be built using time-locked averaging.
  
  
  
  We present examples that demonstrate the utility of our projection operators when applied to maternal and fetal magneto-cardiograms. In addition, we demonstrate the ability to separate fetal breathing signals from both maternal and fetal cardiac signals.
  
  
  
  The method is effective, robust, fast, and does not require significant input from a user.
  
  
  
  Although we demonstrate the utility of our projection operators applied to biomagnetic signals, the method can easily be adapted to other applications were the goal is to either separate or suppress selected signal components.
authors.forename: James D
authors.initials: JD
authors.lastname: Wilson
authors.forename: Jens
authors.initials: J
authors.lastname: Haueisen
mesh_terms: D000465:Algorithms; D000818:Animals; D015148:Cardiotocography / Q000379:methods*; D003198:Computer Simulation; D003627:Data Interpretation, Statistical; D005260:Female; D006340:Heart Rate, Fetal / Q000502:physiology*; D006801:Humans; D053798:Magnetocardiography / Q000379:methods*; D008954:Models, Biological; D015233:Models, Statistical; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity; D012815:Signal Processing, Computer-Assisted