Problem 42794. Fast 1-D Convolution (same shape)

Created by Peng Liu

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{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Pursuant to the first problem in the</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://www.mathworks.com/matlabcentral/cody/?term=Fast+1-D+Convolution\"><w:r><w:t>fast 1-D convolution series</w:t></w:r></w:hyperlink><w:r><w:t>, this problem asks for the fast algorithm to compute the 1-D convolution with the same input-output shape.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>There exists a fast 1-D convolution algorithm way more efficient than MATLAB's built-in</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>conv</w:t></w:r><w:r><w:t> function invoked in the form</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>conv(u,v,'same')</w:t></w:r><w:r><w:t>, and the performance improvement is more pronounced when length(u) and/or length(v) are large. Do you know how? Try it out.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>Previous problem: </w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://www.mathworks.com/matlabcentral/cody/problems/42793-fast-1-d-convolution-full-shape\"><w:r><w:t>Fast 1-D Convolution (full shape)</w:t></w:r></w:hyperlink></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>Next problem:</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://www.mathworks.com/matlabcentral/cody/problems/42795-fast-1-d-convolution-valid-shape\"><w:r><w:t>Fast 1-D Convolution (valid shape)</w:t></w:r></w:hyperlink></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

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70 Solutions
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Last Solution submitted on Mar 22, 2023

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2 Comments

li haitao on 16 Nov 2018

The score of re-submit of the leading solution(score is 8) is 54, Why?
The codycomputer slows down?

li haitao on 16 Nov 2018

"score.p" is invalid now, the score is size, not speed.

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Problem 42794. Fast 1-D Convolution (same shape)

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Problem 42794. Fast 1-D Convolution (same shape)

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