Method to estimate the parameters of a propagation channel
AssigneeThales
InventorsPascal Chevalier, Marc Chenu-Tournier, Claude Adnet, Pascal Larzabal
Life of this patent
Estimating the term…
Abstract
A method for estimating one or more parameters of a propagation channel, with a priori knowledge of at least one signal, in a system having one or more sensors. The method includes correlating one or more signals received by the sensors with the known signal, sampling the received signals at a sampling period and selecting a number of samples per concatenation, and determining at least one parameter of the propagation channel which enables the most efficient reconstruction of the signals via a maximum likelihood method.
Claims8
A method for estimating one or more parameters of a propagation channel with a priori knowledge of a signal c(t) in a system comprising one or more sensors, the method comprising:
- correlating a signal or signals x(t) received by the one or more sensors with the signal c(t);
- sampling the signal or signals x(t) after correlation at a sampling period Te and selecting a number of samples per concatenation;
- and
- determining propagation channel parameters τ and θ, which enable a most efficient reconstruction of the signals x(t) received by the one or more sensors using a maximum likelihood method,
- wherein
- characteristics of the system of sensors are known,
- the signal c(t) is equal to 1,
- the signals x(t) received on an antenna are expressed in a form X=S(τ, θ)h+B, and
- estimates of the parameters τ and θ are expressed in the form:
- θ ^ , τ ^ = a r g min θ , τ [LeftDoubleBracketingBar] ∏ S ⊥ ( θ , τ ) X [RightDoubleBracketingBar] 2 = a r g min θ , τ { X † ∏ S ⊥ ( θ , τ ) X } [AutoLeftMatch]
- where ∏ S ⊥
- is a projector orthogonal to an image generated by the column vectors of S(θ,τ).
A method for estimating one or more parameters of a propagation channel with a priori knowledge of a signal c(t) in a system comprising one or more sensors, the method comprising:
- correlating a signal or signals x(t) received by the one or more sensors with the signal c(t);
- sampling the signal or signals x(t) after correlation at a sampling period Te and selecting a number of samples per concatenation;
- determining propagation channel parameters τ and θ, which enable a most efficient reconstruction of the signals x(t) received by the one or more sensors using a maximum likelihood method;
- and
- determining complex amplitudes h of an impulse response of the propagation channel from estimates of the parameters τ and θ.
A method for estimating one or more parameters of a propagation channel with a priori knowledge of a signal c(t) in a system comprising one or more sensors, the method comprising:
- correlating a signal or signals x(t) received by the one or more sensors with the signal c(t);
- sampling the signal or signals x(t) after correlation at a sampling period Te and selecting a number of samples per concatenation;
- and
- determining propagation channel parameters τ and θ, which enable a most efficient reconstruction of the signals x(t) received by the one or more sensors using a maximum likelihood method,
- wherein
- characteristics of the system of one or more sensors are not known,
- the signal c(t) is equal to 1,
- concatenated form Y=Ψ(τ)α+N, where Ψ(τ) is equal to the convoluted product of the unit matrix IN and a matrix S(τ)=[s1(τ11), . . . ,s1(τP11), . . . , s(τPuU)], and α contains responses of paths of different users, and
- delay vectors τ are estimated from τ ^ = a r g min τ [LeftDoubleBracketingBar] ∏ Ψ ⊥ ( τ ) Y [RightDoubleBracketingBar] 2 = a r g min t r τ ( Y † ∏ Ψ ⊥ ( τ ) Y ) [AutoLeftMatch]
- where ∏ Ψ ⊥
- is a projector orthogonal to an image generated by line vectors of Ψ(τ).
A method for estimating one or more parameters of a propagation channel with a priori knowledge of a signal c(t) in a system comprising one or more sensors, the method comprising:
- correlating a signal or signals x(t) received by the one or more sensors with the signal c(t);
- sampling the signal or signals x(t) after correlation at a sampling period Te and selecting a number of samples per concatenation;
- and
- determining propagation channel parameters τ and θ, which enable a most efficient reconstruction of the signals x(t) received by the one or more sensors using a maximum likelihood method,
- wherein
- the signal c(t) is different from 1, and
- characteristics of the system of one or more sensors are known and parameters τ and θ are estimated from θ , τ = a r g min θ , τ X ω R b - 1 ∏ Φ ⊥ ( θ , τ ) X ω ∏ Φ ⊥ = I - Φ ( θ , τ ) ( Φ † ( θ , τ ) R b - 1 Φ ( θ , τ ) ) - 1 Φ † ( θ , τ ) R b - 1 .
A method for estimating one or more parameters of a propagation channel with a priori knowledge of a signal c(t) in a system comprising one or more sensors, the method comprising:
- correlating a signal or signals x(t) received by the one or more sensors with the signal c(t);
- sampling the signal or signals x(t) after correlation at a sampling period Te and selecting a number of samples per concatenation;
- and
- determining propagation channel parameters τ and θ, which enable a most efficient reconstruction of the signals x(t) received by the one or more sensors using a maximum likelihood method,
- wherein
- the signal c(t) is different from 1, and
- characteristics of the system of one or more sensors is unknown, and a delay vector is expressed by τ ^ = a r g min τ Y ω R n - I ∏ S ⊥ ( τ ) Y ω where ∏ S ⊥ = I - S ( τ ) ( S ( τ ) R n - 1 S ( τ ) ) - 1 S ( τ ) R n - 1 .
A device for estimating one or more parameters of a propagation channel with a priori knowledge of a signal c(t) in a system comprising one or more sensors s(t), the device comprising:
- a device adapted to correlate a signal or signals x(t) received by the one or more sensors s(t) with the signal c(t);
- a device adapted to sample the signal or signals x(t) after correlation at a sampling period Te and selecting a number of samples per concatenation;
- and
- a device adapted to determine parameters of the propagation channel, including τ or θ , which enables a most efficient reconstruction of the signal or signals x(t) by a maximum likelihood method,
- wherein
- characteristics of the system of sensors are known,
- the signal c(t) is equal to 1,
- the signals x(t) received on an antenna are expressed in a form X=S(τ,θ)h+B, and
- estimates of the parameters τ and θ are expressed in the form:
- θ ^ , τ ^ = arg min θ , τ [LeftDoubleBracketingBar] ∏ S ⊥ ( θ , τ ) X [RightDoubleBracketingBar] 2 = arg min θ , τ { X † ∏ S ⊥ ( θ , τ ) X }
- where ∏ S ⊥
- is a projector orthogonal to an image generated by the column vectors of S(θ,τ).
Dependencies are inferred from the claim text.