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correlation

Correlation coefficient between two antennas in array

Description

correlation(array,frequency,elem1,elem2,z0) calculates and plots the correlation coefficient between two antenna elements, elem1 and elem2 of an array. The correlation values are calculated for a specified frequency and impedance and for a specified impedance z0.

example

rho = correlation(array,frequency,elem1,elem2,z0) returns the correlation coefficient between two antenna elements, elem1 and elem2 of an array.

example

Examples

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Plot the correlation between 1 and 2 antenna elements in a default linear array over a frequency range of 50MHz to 100MHz.

h = linearArray;
correlation (h,50e6:1e6:100e6,1,2);

Figure contains an axes object. The axes object with title Correlation coefficient (Element1, Element2), xlabel Frequency (MHz), ylabel Magnitude contains an object of type line.

Calculate correlation coefficient of default rectangular array at a frequency range of 50MHz to 100MHz.

h = rectangularArray;
rho = correlation (h, 50e6:1e6:100e6, 1, 2)
rho = 51×1

    0.1417
    0.1123
    0.0826
    0.0524
    0.0215
    0.0102
    0.0429
    0.0763
    0.1095
    0.1410
      ⋮

Input Arguments

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Array to calculate the correlation between its elements, specified as an array object from array catalog, customArrayMesh object or customArrayGeometry object.

Example: linearArray(Element=[dipole dipole(Length=1.5)])

Frequency range to calculate correlation, specified as a scalar in Hz. for a single analysis frequency or a vector in Hz. for multiple analysis frequencies.

Example: 50e6:1e6:100e6

Data Types: double

Antenna elements in an array to calculate the correlation, specified as scalars represented by their element number in the array.

Example: 1,2

Reference impedance, specified as a scalar in ohms.

Example: 70

Data Types: double

Output Arguments

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Correlation coefficient between two antenna elements of an array, returned as a scalar for a single analysis frequency or a vector for multiple analysis frequencies.

Data Types: double

References

[1] S. Blanch, J. Romeu, and I. Corbella. Exact representation of antenna system diversity performance from input parameter description. Electron. Lett., vol. 39, pp. 705-707, May 2003.

Version History

Introduced in R2015a