## A method for separating signal classes on a waveform basis |

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### Contents

TWO SPECIAL CASES | 4 |

GENERAL SIGNAL SEPARATION PROBLEM | 14 |

DETERMINATION OF SEPARATION PARAMETERS | 26 |

3 other sections not shown

### Common terms and phrases

approximated arbitrary signal classes assumed based on waveform basis functions spanning block diagram classes are linearly classes F classified in F considered convex hulls coordinate coordinate axis defined denote determination equally spaced equation 31 equation 67 equation A.l equations 19 equations kk equivalent exists a set expansion coefficients expansion functions exponential function exponential of order exponential signals F and G F or G finite set G are linearly given signal classes Gramian hyperplane implementation inner product integral of equation interval 0,T Legendre polynomials linear combinations linear filters linear programming linearly independent basis matrix member of F negative entries number of sample orthogonal orthonormal basis output penalty function r-dimensional space respect to w(t Romberg integration Romberg method rows sampler satisfies equations 57 separating device separation parameters separation space based set F set of sample shown in Figure signal h(t signals in F specify technique theorem ty(t unequally spaced waveform weight function w(t