Method for operating wide-band AESA
A method for excitation of an array antenna across a specified bandwidth is disclosed. The specified bandwidth comprises M sample points, M being a positive integer >1, and the array antenna comprises N antenna elements, N being a positive integer ≥2. The method comprises forming a first matrix B(ω) defining an allowed frequency variation for an excitation coefficient for each antenna element, and forming a second matrix defining far field data for each antenna element at each sample point. Further the method comprises optimizing each excitation coefficient based on the formed first matrix and the formed second matrix, and controlling an excitation of the N antenna elements based on the optimized excitation coefficients. Hereby presenting a method for wideband optimization of the excitation coefficients for an array antenna.
1. A method for excitation of an array antenna across a specified bandwidth, wherein the specified bandwidth comprises M sample points, M being a positive integer >1, the array antenna comprising N antenna elements, N being a positive integer ≥2, wherein each antenna element is arranged to be excited according to a corresponding sought excitation coefficient, the method comprising:
forming a first matrix B(ω) defining an allowed frequency variation for the excitation coefficient for each antenna element;
forming a second matrix describing far field data for each antenna element at each sample point;
optimizing N excitation coefficients based on the formed first matrix and the formed second matrix, wherein optimizing comprises defining a convex optimization problem based on the first matrix and the second matrix and solving the defined convex optimization problem with respect to the excitation coefficient for each antenna element; and
controlling an excitation of the N antenna elements based on the optimized excitation coefficients.
2. The method according to claim 1 , wherein the convex optimization problem comprises a cost function related to side-lobe levels at the sample points.
3. The method according to claim 1 , wherein each antenna element is connected to a Transmit and Receive Module, TRM, and wherein the step of forming the first matrix comprises:
forming the first matrix B(ω) defining the allowed frequency variation for each excitation coefficient based on a predefined function.
4. The method according to claim 3 , wherein the TRM comprises a variable gain amplifier or a tuneable attenuator in combination with a phase shifter and/or a true time delay unit.
5. The method according to claim 3 , wherein the first matrix B(ω) is a diagonal N×N matrix defined by,
B
n
n
(
ω
)
=
e
-
j
(
ω
-
ω
c
)
τ
n
and wherein, ω is an angular frequency, ω c is a reference frequency, τ n is a time delay for antenna element n.
6. The method according to claim 1 , wherein the second matrix describes an Embedded Element Pattern (EEP) for each antenna element at each sample point.
7. The method according to claim 1 , wherein the step of controlling the excitation comprises forming beams with the N antenna elements based on the optimized excitation coefficients.
8. A computer-readable storage medium storing one or more programs configured to be executed by one or more processors of an array antenna control system, the one or more programs comprising instructions for performing the method according to claim 1 .
9. An antenna array having an operating bandwidth, the antenna array comprising:
N antenna elements, N being a positive integer ≥2, each antenna element being connected to a Transmit and Receive Module, TRM;
control circuitry connected to each TRM, the control circuitry being configured to:
control each TRM so to apply an excitation coefficient for each antenna element, each excitation coefficient being optimized in accordance with the method according to claim 1 .
10. A vehicle comprising an antenna array according to claim 9 .
11. An aircraft comprising an antenna array according to claim 9 .