A 6-element linear array consists of isotropic elements placed along the z-axis, symmetric about the origin....

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A 6-element linear array consists of isotropic elements placed along the z-axis, symmetric about the origin. The current amplitudes are in the ratios of 1:5:10:10:5:1 where the two elements having relative amplitudes of 10 are the ones on either side of the origin. The element currents have uniform phase and the elements are uniformly spaced with interelement spacing d = X/2. a. Derive the array factor expression, b. Numerically calculate (e.g. using MATLAB) the maximum directivity. c. Plot the array factor power pattern in MATLAB. d. Calculate the max directivity and plot the array factor power pattern of the same array but with uniform current amplitudes. Compare your results to those in the previous two parts? Which one has higher directivity? Which one has higher side-lobe level? A 6-element linear array consists of isotropic elements placed along the z-axis, symmetric about the origin. The current amplitudes are in the ratios of 1:5:10:10:5:1 where the two elements having relative amplitudes of 10 are the ones on either side of the origin. The element currents have uniform phase and the elements are uniformly spaced with interelement spacing d = X/2. a. Derive the array factor expression, b. Numerically calculate (e.g. using MATLAB) the maximum directivity. c. Plot the array factor power pattern in MATLAB. d. Calculate the max directivity and plot the array factor power pattern of the same array but with uniform current amplitudes. Compare your results to those in the previous two parts? Which one has higher directivity? Which one has higher side-lobe level?

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Step1 To derive the array factor expression we need to determine the current amplitude and phase for each element in the linear array Given that the c... View the full answer