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The first M-1 values of the output sequence in every step of Overlap save method of filtering of long sequence are discarded.
- a)True
- b)False
Correct answer is option 'A'. Can you explain this answer?
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The first M-1 values of the output sequence in every step of Overlap s...
Explanation: Since the data record of length N, the first M-1 points of ym(n) are corrupted by aliasing and must be discarded. The last L points of ym(n) are exactly as same as the result from linear convolution.
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The first M-1 values of the output sequence in every step of Overlap s...
Understanding the Overlap-Save Method
The Overlap-Save method is a technique used in digital signal processing for filtering long sequences efficiently. It is particularly useful when dealing with long input data sequences and finite impulse response (FIR) filters.
Key Concepts
- Filtering Long Sequences: When filtering long sequences, the computational cost can be high if we process the entire data at once. The Overlap-Save method breaks the input into smaller segments.
- Overlap Processing: Each segment overlaps with the previous segment to ensure that no information is lost during the filtering process. This overlap is equal to the length of the filter minus one.
Discarding Values
- First M-1 Values: In each segment processed, the first M-1 values of the output sequence are indeed discarded. This is because these initial values correspond to the transient response of the filter and do not represent valid filtered outputs.
- Reason for Discarding:
- The output at the beginning of each segment includes contributions from both the current and previous segments.
- To maintain the integrity of the data and ensure that only valid outputs are considered, the first M-1 samples must be discarded.
Conclusion
In summary, the statement that the first M-1 values of the output sequence in every step of the Overlap-Save method are discarded is True. This is a fundamental aspect of the method that enables efficient filtering while preserving the quality of the output signal.
The Overlap-Save method is a technique used in digital signal processing for filtering long sequences efficiently. It is particularly useful when dealing with long input data sequences and finite impulse response (FIR) filters.
Key Concepts
- Filtering Long Sequences: When filtering long sequences, the computational cost can be high if we process the entire data at once. The Overlap-Save method breaks the input into smaller segments.
- Overlap Processing: Each segment overlaps with the previous segment to ensure that no information is lost during the filtering process. This overlap is equal to the length of the filter minus one.
Discarding Values
- First M-1 Values: In each segment processed, the first M-1 values of the output sequence are indeed discarded. This is because these initial values correspond to the transient response of the filter and do not represent valid filtered outputs.
- Reason for Discarding:
- The output at the beginning of each segment includes contributions from both the current and previous segments.
- To maintain the integrity of the data and ensure that only valid outputs are considered, the first M-1 samples must be discarded.
Conclusion
In summary, the statement that the first M-1 values of the output sequence in every step of the Overlap-Save method are discarded is True. This is a fundamental aspect of the method that enables efficient filtering while preserving the quality of the output signal.
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The first M-1 values of the output sequence in every step of Overlap save method of filtering of long sequence are discarded.a)Trueb)FalseCorrect answer is option 'A'. Can you explain this answer?
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