Element-wise Complex Magnitude Calculation

19 views (last 30 days)
Gee
Gee on 15 Jul 2019
Commented: Raj on 16 Jul 2019
I have an array of complex numbers (here is a snippet):
1273 + 1513i
1271 + 1481i
1256 + 1432i
1240 + 1347i
1210 + 1183i
1190 + 1029i
1169 + 870i
1156 + 714i
I'm aware the abs() function returns the complex magnitude of the vector from the origin 0,0 for each element in the vector, however is it possible to calculate the complex magnitude in an element-wise manner such that the returned value is the absolute length of all the elements in the complex vector with each previous element being treated as the origin rather than 0,0?

Answers (1)

Raj
Raj on 15 Jul 2019
Why don't you just put it in a loop like this:
A = rand(5,1) + i*rand(5,1); % Assume this is your array
B=zeros(length(A),1);
B(1,1)=abs(A(1));
for ii=2: length(A)
B(ii,1)=abs(A(ii)-A(ii-1));
end
B is the matrix you need.
P.S.: There may be better way of doing this also.
  2 Comments
Guillaume
Guillaume on 15 Jul 2019
Edited: Guillaume on 15 Jul 2019
"P.S.: There may be better way of doing this also."
As shown by Bruno, the whole lot can be replaced by
B = abs(diff(B);
You never need a loop to calculate the difference between consecutive elements in matlab.
Raj
Raj on 16 Jul 2019
@Guillaume Yes i got it. Thanks. I was preoccupied in something and was not thinking straight.

Sign in to comment.

Categories

Find more on Creating and Concatenating Matrices in Help Center and File Exchange

Products


Release

R2018b

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!