correlation

Correlation coefficient between two antennas in array

Syntax

correlation(array,frequency,elem1,elem2,z0)

rho = correlation(array,frequency,elem1,elem2,z0)

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.

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

Examples

Plot Correlation of Array

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);

Calculate Correlation Coefficient of Array

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

array — Array to calculate correlation

array object | customArrayMesh object | customArrayGeometry object

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 — Frequency range to calculate correlation

scalar in Hz | vector in Hz

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

elem1,elem2 — Antenna elements in an array

scalar integer

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

Example: 1,2

z0 — Reference impedance

50 (default) | scalar in ohms

Reference impedance, specified as a scalar in ohms.

Example: 70

Data Types: double

Output Arguments

rho — Correlation coefficient

vector

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