Combining two or more elements of vectors into 1

***This is for encoding of convolutional code***

I have the following vectors, all of them are 1x7 in size

p = 1 0 0 1 1 1 0

q = 1 1 0 1 0 0 1

r = 1 0 1 0 0 1 1

I want to make the following vector 1x7 in size

z = 111 010 001 110 100 101 011

Each element of z is the 3 bits of p,q,r of the same position as a whole bit. If I am not wrong, this is called multiplexing.

Can anyone help how to do it in MATLAB R2021a?

Thank you.

Answer 1

[Davide Masiello]

The problem I see is that z cannot be an array of doubles, since 010 and 001 would be just 10 and 1 respectively. You could try and store the bits in a cell array.

clear,clc

p = [1 0 0 1 1 1 0];
q = [1 1 0 1 0 0 1];
r = [1 0 1 0 0 1 1];
z = [p;q;r];
z = mat2cell(z',ones(1,size(z,2)),3)'

z = 1×7 cell array
    {[1 1 1]}    {[0 1 0]}    {[0 0 1]}    {[1 1 0]}    {[1 0 0]}    {[1 0 1]}    {[0 1 1]}

Answer 2

[Stephen23]

In MATLAB binary data is normally stored as character (see BIN2DEC, DEC2BIN, etc.).

Perhaps STRING suits your needs (it gives exactly the size that you request):

p = [1,0,0,1,1,1,0];
q = [1,1,0,1,0,0,1];
r = [1,0,1,0,0,1,1];
s = ""+p+q+r

s = 1×7 string array
    "111"    "010"    "001"    "110"    "100"    "101"    "011"