沿矩阵的每一行进行一维卷积 [英] Do 1-D convolution along each row of a matrix

问题描述

进行了快速搜索，找不到太多有关此的信息.假设我有一个2D矩阵和一个1D响应函数".我想用响应函数对2D矩阵的每一行进行卷积.我可以通过以下方式做到这一点:

Did a quick search and couldn't find much about this. Say I have a 2D matrix and a 1D 'response function'. I want to convolve each row of the 2D matrix with the response function. I can do this by:

for i=1:numrows
    answer(:,i) = conv(2dmatrix(:,i),response_function,'same');
end

但是它太慢了！有什么技巧可以加速吗?

but it's super slow! Any tips to accelerate this?

谢谢

推荐答案

此代码在随机生成的矩阵上重现您的结果:

This code reproduces your results on randomly generated matrices:

conv2(response_function,1,2dmatrix,'same')

conv2 允许您分别沿行和列进行卷积，所以对行1不执行任何操作，而对列response_function进行卷积.

conv2 allows you to convolute along rows and columns separately, so do nothing to the rows, 1, and convolve the columns by response_function.

要沿每一行卷积，请交换前两个函数参数的顺序.

To convolve along each row, swap the order of the first two function arguments.

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