# Chebyshev Filters 1 MCQ’s

This set of Digital Signal Processing Multiple Choice Questions & Answers (MCQs) focuses on “Chebyshev Filters 1″.

1. What is the value of chebyshev polynomial of degree 5?

a) 16x^{5}+20x^{3}-5x

b) 16x^{5}+20x^{3}+5x

c) 16x^{5}-20x^{3}+5x

d) 16x^{5}-20x^{3}-5x

2. T_{N}(-x)=(-1)^{N}T_{N}(x).

a) True

b) False

3. Which of the following defines a chebyshev polynomial of order N, T_{N}(x)?

a) cos(Ncos^{-1}x) for all x

b) cosh(Ncosh^{-1}x) for all x

c)

`cos(Ncos`^{-1}x), |x|<1
cosh(Ncosh^{-1}x), |x|>1

d) None of the mentioned

4. What is the value of chebyshev polynomial of degree 0?

a) 1

b) 0

c) -1

d) 2

5. What is the value of T_{N}(0) for even degree N?

a) -1

b) +1

c) 0

d) ±1

6. What is the value of chebyshev polynomial of degree 1?

a) 1

b) x

c) -1

d) -x

7. Chebyshev polynomials of odd orders are _____________

a) Even functions

b) Odd functions

c) Exponential functions

d) Logarithmic functions

8. What is the formula for chebyshev polynomial T_{N}(x) in recursive form?

a) 2T_{N-1}(x) – T_{N-2}(x)

b) 2T_{N-1}(x) + T_{N-2}(x)

c) 2xT_{N-1}(x) + T_{N-2}(x)

d) 2xT_{N-1}(x) – T_{N-2}(x)

9. For |x|≤1, |T_{N}(x)|≤1, and it oscillates between -1 and +1 a number of times proportional to N.

a) True

b) False

10. What is the value of chebyshev polynomial of degree 3?

a) 3x^{3}+4x

b) 3x^{3}-4x

c) 4x^{3}+3x

d) 4x^{3}-3x

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