HOW MANY DELAY COORDINATES DO YOU NEED?

Theorems on the use of delay coordinates for analyzing experimental data are discussed. To reconstruct a one-to-one correspondence with the state-space attractor, m delay coordinates are sufficient, where m>2D 0 (here D 0 denotes the box-counting dimension). For calculating the correlation dimension D 2 , m>D 2 delays are sufficient. These results remain true under finite impulse response (FIR) filters.