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For a decimation-in-time FFT algorithm, which of the following is true?
- a)Both input and output are in order
- b)Both input and output are shuffled
- c)Input is shuffled and output is in order
- d)Input is in order and output is shuffled
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
For a decimation-in-time FFT algorithm, which of the following is true...
Explanation: In decimation-in-frequency FFT algorithm, the input is taken in order and the output is obtained in the bit reversal order.
Most Upvoted Answer
For a decimation-in-time FFT algorithm, which of the following is true...
Decimation-In-Time FFT Algorithm: Input and Output Order
Explanation:
The Decimation-In-Time FFT (DIT-FFT) algorithm is one of the most popular algorithms used to compute the Discrete Fourier Transform (DFT) of a sequence. This algorithm is used to reduce the number of computations required to compute the DFT of a sequence.
The DIT-FFT algorithm involves breaking the input sequence into smaller sub-sequences and applying the FFT algorithm recursively to these sub-sequences until the final DFT of the sequence is obtained. The algorithm also involves reversing the order of the input sequence at certain stages, which results in the output sequence being shuffled.
Input Order:
The input sequence in the DIT-FFT algorithm is in order. The input sequence is broken down into smaller sub-sequences, and the FFT algorithm is applied recursively to these sub-sequences. At each stage of the algorithm, the input sub-sequences are re-ordered. However, the original order of the input sequence is maintained throughout the algorithm.
Output Order:
The output sequence in the DIT-FFT algorithm is shuffled. The algorithm involves re-ordering the input sub-sequences at certain stages, which results in the output sequence being shuffled. However, the output sequence still contains the same information as the original sequence, and the order of the output sequence can be easily restored.
Conclusion:
In summary, for the Decimation-In-Time FFT algorithm, the input sequence is in order, and the output sequence is shuffled. This is because the algorithm involves breaking down the input sequence into smaller sub-sequences and applying the FFT algorithm recursively to these sub-sequences. At certain stages of the algorithm, the input sub-sequences are re-ordered, which results in the output sequence being shuffled.
Explanation:
The Decimation-In-Time FFT (DIT-FFT) algorithm is one of the most popular algorithms used to compute the Discrete Fourier Transform (DFT) of a sequence. This algorithm is used to reduce the number of computations required to compute the DFT of a sequence.
The DIT-FFT algorithm involves breaking the input sequence into smaller sub-sequences and applying the FFT algorithm recursively to these sub-sequences until the final DFT of the sequence is obtained. The algorithm also involves reversing the order of the input sequence at certain stages, which results in the output sequence being shuffled.
Input Order:
The input sequence in the DIT-FFT algorithm is in order. The input sequence is broken down into smaller sub-sequences, and the FFT algorithm is applied recursively to these sub-sequences. At each stage of the algorithm, the input sub-sequences are re-ordered. However, the original order of the input sequence is maintained throughout the algorithm.
Output Order:
The output sequence in the DIT-FFT algorithm is shuffled. The algorithm involves re-ordering the input sub-sequences at certain stages, which results in the output sequence being shuffled. However, the output sequence still contains the same information as the original sequence, and the order of the output sequence can be easily restored.
Conclusion:
In summary, for the Decimation-In-Time FFT algorithm, the input sequence is in order, and the output sequence is shuffled. This is because the algorithm involves breaking down the input sequence into smaller sub-sequences and applying the FFT algorithm recursively to these sub-sequences. At certain stages of the algorithm, the input sub-sequences are re-ordered, which results in the output sequence being shuffled.
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For a decimation-in-time FFT algorithm, which of the following is true?a)Both input and output are in orderb)Both input and output are shuffledc)Input is shuffled and output is in orderd)Input is in order and output is shuffledCorrect answer is option 'D'. Can you explain this answer?
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