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The value of Tm(z) in the range between -1 to 1 is ____

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in Antennas by (157k points)
The value of Tm(z) in the range between -1 to 1 is ____

(a) -1 to 1

(b) 1

(c) 0

(d) 0 to infinity

I had been asked this question in a national level competition.

The origin of the question is Adaptive Array in portion Phased, Adaptive and Binomial Arrays of Antennas

1 Answer

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Best answer
Right choice is (a) -1 to 1

Easiest explanation: The polynomial oscillates between -1 to 1 with amplitude varying from -1 to 1. Hence this is used to get the constant desired side lobe for any order within the desired range. The array factor of the Chebyshev array is approximated to the Chebyshev polynomial.

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