Method for decomposing an anharmonic periodic signal and corresponding computer program
AssigneeCentre National De La Recherche Scientifique
InventorPatrick HANUSSE
Life of this patent
Estimating the term…
Abstract
This method for decomposing an anharmonic periodic signal, the general form of which may be expressed as x(t)=x0+x1 cos(Φ(t)), wherein Φ(t) is the phase of the signal, is characterized in that it consists of: determining an expression of the phase equation F ( Φ ) = Φ t , determining an expression of the phase Φ(t) as a function of de parameters (r, rk, Φ1, pk) measuring the anharmonicity of the signal and its morphology, from p cosn and p sinn functions defined by: p cos n ( t , r ) = ∑ k = 1 ∞ cos ( kt ) r k k n and p sin n ( t , r ) = ∑ k = 1 ∞ sin ( kt ) r k k n .
Claims6
A method for decomposing an anharmonic periodic signal, the general form of which may be expressed by x(t)=x0+x1 cos(Φ(t)), wherein Φ(t) is the phase of the signal, consisting of:
- determining an expression of the phase equation
- F
-
- (
- Φ
- )
- =
-
- Φ
-
- t
- ,
- determining an expression of the phase Φ(t) as a function of parameters (r, rk, Φ0, pk) measuring the anharmonicity of the signal and its morphology, from p cosn and p sinn functions defined by:
- p
-
-
- cos
- n
-
- (
- t
- ,
- r
- )
- =
- ∑
- k
- =
- 1
- ∞
-
-
- cos
-
- (
- kt
- )
-
- r
- k
- k
- n
-
-
- and
-
-
- p
-
-
- sin
- n
-
- (
- t
- ,
- r
- )
- =
- ∑
- k
- =
- 1
- ∞
-
-
- sin
-
- (
- kt
- )
-
- r
- k
- k
- n
- .
Dependencies are inferred from the claim text.