Signalbehandling Formelsamling
Signalbehandling Formelsamling
Signalbehandling Formelsamling
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B.5 Några egenskaper hos DFTTidFrekvensx(n), y(n) X(k), Y(k)x(n) =x(n + N) X(k) =X(k + N)x(N − 1) X(N − k)x((n − 1)) X(k)e −j2πk1/Nx(n)e j2π1n/N X((k − 1)) x ∗ (n) X ∗ (N − k)x 1 (n) ○∗ x 2 (n) X 1 (k)X 2 (k)x(n) ○∗ y ∗ (−n) X(k)Y ∗ (k)1x 1 (n)x 2 (n) N 1(k) NX 2 (k)∑ N−1n=0 x(n)y ∗ 1 ∑(n) N−1N k=0 X(k)Y ∗ (k)52