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What is the value of chebyshev polynomial of degree 1?(a) 1(b) x(c) -1(d) -xI had been asked this question in an internship interview.My query is from Chebyshev Filters topic in section Digital Filters Design of Digital Signal Processing

Answer»

The correct option is (b) x

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

For a degree 1 chebyshev filter, the polynomial is obtained as

T0(x)=cos(cos^-1x)=x.



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