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What is the possible level from the following for the minor lobe when the main beam level is at 50db and SLL at 10 db according to Chebyshev?

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What is the possible level from the following for the minor lobe when the main beam level is at 50db and SLL at 10 db according to Chebyshev?

(a) 40dB

(b) 45dB

(c) 50dB

(d) 80dB

The question was posed to me during an interview for a job.

This interesting question is from Adaptive Array in section Phased, Adaptive and Binomial Arrays of Antennas

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The correct option is (a) 40dB

Easy explanation: The minor lobes are present below the main beam level at a value 1/SLL. SLL is the side lobe level.

Possible level for the minor lobe is 50-10=40dB

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