Question 31 : How many number of bits are required to compute the FFT of a 1024 point sequence with a SNR of 30db?
1. 11
2. 10
3. 5
4. 20
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Question 32 : If we split the N point data sequence into two N/2 point data sequences f₁(n) and f₂(n) corresponding to the even numbered and odd numbered samples of x(n), then such an FFT algorithm is known as decimation-in-time algorithm.
1. True
2. False
3.
4.
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Question 33 : What is the signal-to-noise ratio?
1. σ_X². σ_q²
2. σ_X²/ σ_q²
3. σ_X²+ σ_q²
4. σ_X²-σ_q²
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Question 34 : W_N^k+N/2=
1. W_N^k
2. -W_N^k
3. W_N^-k
4. None of the mentioned
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Question 35 : Every fourfold increase in the size N of the DFT requires an additional bit in computational precision to offset the additional quantization errors.
1. True
2. False
3.
4.
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Question 36 : What is the sequence y(n) that results from the use of four point DFTs if the impulse response is h(n)={1,2,3} and the input sequence x(n)={1,2,2,1}?
1. {9,9,7,11}
2. {1,4,9,11,8,3}
3. {7,9,7,11}
4. {9,7,9,11}
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Question 37 : What is the range in which the quantization errors due to rounding off are uniformly distributed as random variables if Δ=2^-b?
1. (0,Δ)
2. (-Δ,0)
3. (-Δ/2,Δ/2)
4. None of the mentioned
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Question 38 : If we split the N point data sequence into two N/2 point data sequences f₁(n) and f₂(n) corresponding to the even numbered and odd numbered samples of x(n) and F₁(k) and F₂(k) are the N/2 point DFTs of f₁(k) and f₂(k) respectively, then what is the N/2 point DFT X(k) of x(n)?
1. F₁(k)+F₂(k)
2. F₁(k)- W_N^k F₂(k)
3. F₁(k)+WNk_N^k F₂(k)
4. None of the mentioned
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Question 39 : If X(k) is the N/2 point DFT of the sequence x(n), then what is the value of X(k+N/2)?
1. F₁(k)+F₂(k)
2. F₁(k)- W_N^k F₂(k)
3. F₁(k)+W_N^k F2(k)
4. None of the mentioned
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