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Poly Track Track Codes | [patched]

The goal of poly track track codes is to ( \tau_i ) using only the received data, without a separate clock track. 3. Polynomial Encoding Let ( p(t) ) be a polynomial of degree ( m-1 ) over ( GF(2) ) or over the reals (depending on modulation). Choose ( m \leq N ). Define ( m ) basis sequences ( b_j[t] ), e.g., ( b_j[t] = t^j \mod 2 ) (binary) or ( b_j[t] = \sin(2\pi f_j t) ) (analog).

where coefficients ( \alpha_{i,j} ) form a ( \alpha_{i,j} = \xi_i^{,j} ) with distinct ( \xi_i \in GF(2^q) ) or real numbers. poly track track codes

[ x_i[t] = \sum_{j=0}^{m-1} \alpha_{i,j} \cdot b_j[t] ] The goal of poly track track codes is