The recurrence relation for the Chebyshev polynomial is __________(a) Tm(z) = 2zTm-1(z) – Tm-2(z)(b) Tm (z) = Tm-1(z) – 2zTm-2(z)(c) Tm(z) = 2zTm(z) – Tm-2(z)(d) Tm(z) = 2zTm(z) – Tm-1(z)I had been asked this question in unit test.I'd like to ask this question from Adaptive Array in division Phased, Adaptive and Binomial Arrays of Antennas

The recurrence relation for the Chebyshev polynomial is __________(a)

1.	The recurrence relation for the Chebyshev polynomial is __________(a) Tm(z) = 2zTm-1(z) – Tm-2(z)(b) Tm (z) = Tm-1(z) – 2zTm-2(z)(c) Tm(z) = 2zTm(z) – Tm-2(z)(d) Tm(z) = 2zTm(z) – Tm-1(z)I had been asked this question in unit test.I'd like to ask this question from Adaptive Array in division Phased, Adaptive and Binomial Arrays of Antennas
Answer» Right answer is (a) Tm(z) = 2zTm-1(z) – Tm-2(z) Explanation: The Chebyshev polynomial of any order m can be DERIVED from the RECURSIVE FORMULA. This is one of the main features of the Chebyshev polynomial. The RECURRENCE relation for the Chebyshev polynomial is Tm(z) = 2zTm-1(z) – Tm-2(z).

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