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midpoint

Mid-point construction used in the interference diagram

Calling Sequence

[TI,FI] = midpoint(T1, F1, T2, F2, K)

Parameters

T1 :

a real vector of size N: the time-coordinate(s) of the first point(s)

F1 :

a real vector of size N with positive elements: the frequency-coordinate(s) of the first point(s)

T2 :

a real vector of size N: the time-coordinate(s) of the second point(s)

F2 :

a real vector of size N with positive elements: the frequency-coordinate(s) of the second point(s)

K :

a real scalar: the power of the group-delay law

  • K = 2 :Wigner-Ville

  • K = 1/2 :D-Flandrin

  • K = 0:Bertrand (unitary)

  • K = -1 :Unterberger (active)

  • K = %inf :Margenau-Hill-Rihaczek

TI :

a real row vector of size N: the time-coordinate(s) of the interference term(s)

FI :

a real row vector of size N: frequency-coordinate(s) of the interference term(s)

Description

midpoint gives the coordinates in the time-frequency plane of the interference-term corresponding to the points (T1,F1) and (T2,F2), for a distribution in the affine class perfectly localized on power-law group-delays of the form : tx(nu)=t0+c nu^(K-1).

See also

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