将向量交织和解交织成两个新向量 [英] Interleave and Deinterleave a vector into two new vectors

问题描述

交织器:假设我们有向量X= randi(1,N)，我想将X的内容分成两个新的向量X1和X2，以使X的第一个元素是X1的第一个元素，X2的第一个元素是X的第二个元素，X的第三个元素是X1的第二个元素，而X的第四个元素是X2 ...的第二个元素，依此类推，直到向量X的最后一个元素.

Interleaver: Assume we have vector X= randi(1,N) I would like to split the contents of X into two new vectors X1and X2 such that the first element of X is the first element of X1, the first element of X2 is the second element of X, the third element of X is the second element of X1 and the fourth element of X is the second element of X2... etc till the last element of the vector `X.

我有以下想法

X1(1)=X(1);
X2(1)=X(2);


for i=1:length(X)
X1(i)= X(i+2);
end
for j=2:length (X)
X2(i)= X(i+2)
end

我的问题是:我的方法正确吗?有更好的方法吗?

My question is: is my method correct? is there a better way to do it?

解交织器 我也有相反的问题，所以基本上在这种情况下，我有X1和X2并想恢复X，我将如何有效地恢复X?

Deinterleaver I also have the reverse problem so basically in this case I have X1 and X2 and would like to recover X, how would I efficiently recover X?

推荐答案

我认为这个问题中的术语是相反的.交织是合并两个向量，交替改变它们的值:

I think the terminology in this question is reversed. Interleaving would be to merge two vectors alternating their values:

x1 = 10:10:100;
x2 = 1:1:10;
x = [x1;x2];
x = x(:).';

这与单线纸一样:

x = reshape([x1;x2],[],1).';

解交织将分离交织的数据，如汤姆在答案中:

Deinterleaving would be to separate the interleaved data, as already suggested by David in a comment and Tom in an answer:

y1 = x(1:2:end);
y2 = x(2:2:end);

，但也可以通过许多其他方式来完成，例如反转我们上面遵循的过程:

but can also be done in many other ways, for example inverting the process we followed above:

y = reshape(x,2,[]);
y1 = y(1,:);
y2 = y(2,:);

要验证:

isequal(x1,y1)
isequal(x2,y2)

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