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Digital Signal Processing Questions and Answers | Digital Signal Processing MCQs

(1) What is the value of chebyshev polynomial of degree 0?
[A] 1
[B] 0
[C] -1
[D] 2
Answer: 1
(2) What is the value of chebyshev polynomial of degree 1?
[A] 1
[B] x
[C] -1
[D] -x
Answer: x

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(3) What is the value of chebyshev polynomial of degree 3?
[A] 3x3+4x
[B] 3x3-4x
[C] 4x3+3x
[D] 4x3-3x
Answer: 4x3-3x
(4) 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
Answer: 16x5-20x3+5x
(5)  For |x|≤1, |TN(x)|≤1, and it oscillates between -1 and +1 a number of times proportional to N.
[A] True
[B] False
Answer: True
(6) Chebyshev polynomials of odd orders are _____________
[A] Even functions
[B] Odd functions
[C] Exponential functions
[D] Logarithmic functions
Answer: Odd functions
(7) What is the value of TN(0) for even degree N? 
[A] -1
[B] +1
[C] 0
[D] ±1
Answer: ±1
(8) TN(-x)=(-1)NTN(x).
[A] True
[B] False
Answer: True
(9) What is the value of |TN(±1)|?
[A] 0
[B] -1
[C] 1
[D] None of the mentioned
Answer: 1
(10) The chebyshev polynomial is oscillatory in the range |x|< ∞.
[A] True
[B] False
Answer: False

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