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Estimate Angle of Arrival Using Phase Comparison Technique

Estimate the angle of arrival using phase difference data between antenna elements.

(RF Blockset)

Estimate Angle of Arrival Using Amplitude Comparison

Estimate the angle of arrival using amplitude comparison data between antenna elements.

(RF Blockset)

Model RF Systems with Antenna Arrays Using RF Blockset Antenna Block

Use the Antenna block to design antenna arrays for an RF system.

(RF Blockset)

Design and Analyze Parabolic-Reflector-Backed Wideband Egg Crate Array

Design and analyze a wideband Vivaldi egg‑crate antenna array backed by a parabolic reflector, evaluating the element, array, and reflector‑backed performance across 5G frequency bands.

Design, Analyze, and Prototype 2-by-2 Patch Antenna Array

Design and analysis of a 2‑by‑2 microstrip patch antenna array on an FR4 substrate operating at 2.4 GHz, including full simulation and generation of PCB Gerber files for fabrication.

Analyze Cylindrical Reflector Antenna with Horn Array Feed

Analyze an antenna consisting of a cylindrical reflector with a linear array of horns.

Antenna Array Analysis

Create and analyze antenna arrays in Antenna Toolbox™, with emphasis on concepts such as beam scanning, sidelobe level, mutual coupling, element patterns, and grating lobes. The analyses is performed on a 9-element linear array of half-wavelength dipoles.

Manipulate Array Elements

Control an individual element in a linear or rectangular array. You can use this technique to change the size and tilt of the antenna, or to model dead elements etc. with individual elements in an array.

FMCW Patch Antenna Array

Describes the modeling of a 77 GHz 2-by-4 antenna array for Frequency-Modulated Continuous-Wave (FMCW) applications. The presence of antennas and antenna arrays in and around vehicles has become a commonplace with the introduction of wireless collision detection, collision avoidance, and lane departure warning systems. The two frequency bands considered for such systems are centered around 24 GHz and 77 GHz, respectively. In this example, we will investigate the microstrip patch antenna as a phased array radiator. The dielectric substrate is air.

Subarrays in Large Finite Array for Hybrid Beamforming

Design subarrays in large finite array for hybrid beam forming. Hybrid beamforming combines analog beamforming with digital precoding to intelligently form the patterns transmitted from a large antenna array.

Effect of Mutual Coupling on MIMO Communication

How the antenna mutual coupling affects the performance of an orthogonal space-time block code (OSTBC) transmission over a multiple-input multiple-output (MIMO) channel. The transmitter and receiver have two dipole antenna elements each. The bit error rate (BER) vs. signal to noise ratio (SNR) curves are plotted under different correlation and coupling scenarios. To run this example, you need Antenna Toolbox™.

Switched Beam Array with Butler Matrix

A switched beam array of 4 resonant dipoles. The beam switching is accomplished by using a 4-by-4 Butler matrix. The effect of the beam switching is shown by observing the outputs of 4 receiving antennas that are placed in the far-field of the array at the approximate azimuthal angles corresponding to the beam peaks. The effect of mutual coupling between the array elements on the transmit side is accounted for using S-parameters.

Antenna Diversity Analysis for 800 MHz MIMO

Analyzes a 2-antenna diversity scheme to understand the effect that position, orientation and frequency have on received signals. The analysis is performed under the assumptions that impedance matching is not achieved and mutual coupling is taken into account [1].

Modeling Mutual Coupling in Large Arrays Using Infinite Array Analysis

Uses infinite array analysis to model large finite arrays. The infinite array analysis on the unit cell reveals the scan impedance behavior at a particular frequency. This information is used with the knowledge of the isolated element pattern and impedance to calculate the scan element pattern. The large finite array is then modeled using the assumption that every element in the array possesses the same scan element pattern. The real array of finite size can be analyzed using the embedded element pattern as a next step. This approach is presented in Modeling Mutual Coupling in Large Arrays Using Embedded Element Pattern.

Modeling Mutual Coupling in Large Arrays Using Embedded Element Pattern

Demonstrates the embedded element pattern approach to model large finite arrays. Such an approach is only good for very large arrays so that the edge effects may be ignored. It is common to consider an infinite array analysis as a first step for such kind of analysis. This approach is presented in Modeling Mutual Coupling in Large Arrays Using Infinite Array Analysis. The embedded element pattern refers to the pattern of a single element embedded in the finite array, that is calculated by driving the central element in the array and terminating all other elements into a reference impedance [1]-[3]. The pattern of the driven element, referred to as the embedded element, incorporates the effect of coupling with the neighboring elements. It is common to choose the central region/element of the array for the embedded element, depending on whether the array has an even or odd number of elements (for large arrays it does not matter). The pattern of the isolated element (the radiator located in space by itself) changes when it is placed in an array due to the presence of mutual coupling. This invalidates the use of pattern multiplication, which assumes that all elements have the same pattern. To use pattern multiplication to calculate the total array radiation pattern, and improve the fidelity of the analysis, we replace the isolated element pattern with the embedded element pattern.

Verification of Far-Field Array Pattern Using Superposition with Embedded Element Patterns

The far-field radiation pattern of a fully excited array can be recreated from the superposition of the individual embedded patterns of each element. The pattern multiplication theorem in array theory states that the far-field radiation pattern of an array is the product of the individual element pattern and the array factor. In the presence of mutual coupling, the individual element patterns are not identical and therefore invalidates the result from pattern multiplication. However, by computing the embedded pattern for each element and using superposition, we can show the equivalence to the array pattern under full excitation.