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Which of the following properties of Chebyshev polynomial is false?(a) The minor lobes have unequal amplitudes(b) The polynomial Tm(x) is symmetric for m = even(c) The polynomial Tm(x) crosses the x axis m times between -1 and 1(d) Minor lobes exists for |x| < 1I had been asked this question during an interview.The doubt is from Adaptive Array in chapter Phased, Adaptive and Binomial Arrays of Antennas

Answer»

Right ANSWER is (a) The minor lobes have unequal amplitudes

Explanation: The minor lobes have EQUAL amplitudes. The polynomial Tm(x) CROSSES the x axis m times between -1 and 1.

Minor lobes EXIST for |x| < 1 and MAJOR lobes exist for |x| > 1.



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