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Assertion (A): Lowering the side lobes of an array widens its main beam.

Reason (R): Suppressing side lobes requires tapering the excitation, which reduces the effective aperture.

Select the correct answer from the options below.

  • A.Both A and R are true, and R is the correct explanation of A
  • B.Both A and R are true, but R is not the correct explanation of A
  • C.A is true but R is false
  • D.A is false but R is true

Answer: A

Both are true and the second is the reason. Weighting the edge elements down shrinks the effective aperture, and beamwidth is inversely proportional to aperture, so the beam necessarily broadens. The relationship is quantitative and unavoidable, and the Chebyshev distribution is simply the best available compromise for a stated side lobe level. The same trade appears in signal processing as the choice of window function.

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