Digital Signal Processing Applications Fft Algorithms Online Exam Quiz

Digital Signal Processing Applications Fft Algorithms GK Quiz. Question and Answers related to Digital Signal Processing Applications Fft Algorithms. MCQ (Multiple Choice Questions with answers about Digital Signal Processing Applications Fft Algorithms

How many complex additions are required to be performed in linear filtering of a sequence using FFT algorithm?

Options

A : (N/2)logN

B : 2Nlog2N

C : (N/2)log2N

D : Nlog2N

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How many complex multiplications are need to be performed for each FFT algorithm?

Options

A : (N/2)logN

B : Nlog2N

C : (N/2)log2N

D : None of the mentioned

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How many complex multiplication are required per output data point?

Options

A : [(N/2)logN]/L

B : [Nlog22N]/L

C : [(N/2)log2N]/L

D : None of the mentioned

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If X(k) is the DFT of x(n) which is defined as x(n)=x1(n)+jx2(n), 0? n? N-1, then what is the DFT of x1(n)?

Options

A : frac{1}{2} [X*(k)+X*(N-k)]

B : frac{1}{2} [X*(k)-X*(N-k)]

C : frac{1}{2j} [X*(k)-X*(N-k)]

D : frac{1}{2j} [X*(k)+X*(N-k)]

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If x1(n) and x2(n) are two real valued sequences of length N, and let x(n) be a complex valued sequence defined as x(n)=x1(n)+jx2(n), 0? n? N-1, then what is the value of x2(n)?

Options

A : frac{x(n)-x*(n)}{2}

B : frac{x(n)+x*(n)}{2}

C : frac{x(n)+x*(n)}{2j}

D : frac{x(n)-x*(n)}{2j}

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Decimation-in frequency FFT algorithm is used to compute H(k).

Options

A : True

B : False

C :

D :

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FFT algorithm is designed to perform complex operations.

Options

A : True

B : False

C :

D :

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If g(n) is a real valued sequence of 2N points and x1(n)=g(2n) and x2(n)=g(2n+1), then what is the value of G(k), k=0,1,2…N-1?

Options

A : X1(k)-W2kNX2(k)

B : X1(k)+W2kNX2(k)

C : X1(k)+W2kX2(k)

D : X1(k)-W2kX2(k)

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If g(n) is a real valued sequence of 2N points and x1(n)=g(2n) and x2(n)=g(2n+1), then what is the value of G(k), k=N,N-1,…2N-1?

Options

A : X1(k)-W2kX2(k)

B : X1(k)+W2kNX2(k)

C : X1(k)+W2kX2(k)

D : X1(k)-W2kNX2(k)

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