Shift array bitwise and multiply with another array in matlab

   Hello All,
   I have two arrays for i.e
   x=[1,2,3,4];
   y=[5,6,7,8];

 I want to multiply y with x 
 and sum the results after 
 every bit shift excluding 
 first one.
 So result would be in this
  order
 R1=70 % no bit shift
 R2=64 % y= 8 5 6 7
 R3=61 % y= 7 8 5 6
 ..... Till all bit shifted 
  And finally plot all 
  result.
  How can I achieve this .
  Please suggest .

Thanks all of you

Answer 1

[KL]

use circshift

https://de.mathworks.com/help/matlab/ref/circshift.html

 R = sum(x.*y)
 R1 = sum(x.*circshift(y,1))
 R2 = sum(x.*circshift(y,2)) % and so on

[POKA]

But for lengthy array say length of 1023 how to use it . shall I use loop

[KL]

Yes, or you can let matlab run the loop in the background. For example,

shiftAmount = 0:size(y,2); 
R = arrayfun(@(z) sum(x.*circshift(y,z)),shiftAmount)