33 lines
416 B
Matlab
33 lines
416 B
Matlab
% 13 augustus examen matlabroot
|
|
|
|
|
|
% Vraag 1
|
|
|
|
|
|
N = 10
|
|
k = (0:N-1)'
|
|
|
|
a = exp(i*2*pi*k/N)
|
|
b = exp(i*4*pi*k/N)
|
|
|
|
c = zeros(N,1); c(2) = 1; c(3) = i;
|
|
|
|
Q = [a,b, conj(a), conj(b)]
|
|
|
|
D = Q'*Q % is een diagonaal matrix dus orthogonaal
|
|
|
|
na = sqrt(a'*a); % normeren
|
|
nb = sqrt(b'*b);
|
|
|
|
V1 = [a/na conj(a)/na]
|
|
V2 = [a/na conj(a)/na b/nb conj(b)/nb]
|
|
|
|
d1 = c - V1*V1'*c
|
|
d2 = c - V2*V2'*c
|
|
|
|
sqrt(d1'*d2) % geeft 1.0954
|
|
|
|
% Vraag 2
|
|
|
|
|