Transposition of a State Space Filter

Above, we found the transfer function of the general state-space model to be

By the rules for transposing a matrix, the

The system may be called the

When there is only one input and output signal (the SISO case), is a scalar, as is . In this case we have

That is, the transfer function of the transposed system is the

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Center for Computer Research in Music and Acoustics (CCRMA), Stanford University