Chebyshev Filters 1 MCQ’s

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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) 16x5+20x3-5x
b) 16x5+20x3+5x
c) 16x5-20x3+5x
d) 16x5-20x3-5x

2. TN(-x)=(-1)NTN(x).
a) True
b) False

3. Which of the following defines a chebyshev polynomial of order N, TN(x)?
a) cos(Ncos-1x) for all x
b) cosh(Ncosh-1x) for all x
c)

cos(Ncos-1x), |x|<1
cosh(Ncosh-1x), |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 TN(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 TN(x) in recursive form?
a) 2TN-1(x) – TN-2(x)
b) 2TN-1(x) + TN-2(x)
c) 2xTN-1(x) + TN-2(x)
d) 2xTN-1(x) – TN-2(x)

9. For |x|≤1, |TN(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) 3x3+4x
b) 3x3-4x
c) 4x3+3x
d) 4x3-3x

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