1.

What is the value of |TN(±1)|?(a) 0(b) -1(c) 1(d) None of the mentionedThe question was asked during a job interview.This key question is from Chebyshev Filters in portion Digital Filters Design of Digital Signal Processing

Answer»

The CORRECT option is (c) 1

Explanation: We know that a chebyshev polynomial of degree N is DEFINED as

TN(x) = cos(Ncos^-1x), |x|≤1

cosh(Ncosh^-1x), |x|>1

Thus |TN(±1)|=1.



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