Method for terminating a linear convolutional encoder

In order to drive an arbitrary linear convolutional encoder from an initial state vector into any desired termination state vector, whereby a code rate of the encoder is defined by R=k/n with k≤n whereby k,n are positive integer numbers, an initial state vector x(t=p) of the encoder is given and the encoder is mathematically determined by a state input matrix B, a state propagation matrix A, an encoder output matrix D and a state output matrix C, it is proposed to calculate a generalised right-hand side pseudo inverse Q(-1)termination from a termination matrix Qtermination = [A(θ-1)B, ..., AB, B], which is a sub matrix of a controllability matrix Qcontrollability = [A(µ-1)B, ..., AB, B] of the encoder with θ