Optimal hankel-norm approximation of IIR by FIR systems

This paper presents a constructive method to (sub)optimal finite impulse response (FIR) approximation of a given infinite impulse response (IIR) model. The method minimizes the Hankel norm of approximation error by using the explicit solution of norm-preserve dilation problem. It has the advantage over the existing methods that it provides an explicitly constructive solution and allows the trade-off between the Chebyshev and least square criteria. The lower and upper bounds on the l² and Chebyshev norms of approximation error are given. The effectiveness and properties of the proposed algorithm are demonstrated through a computation example.