Optimal FIR Approximation for Discrete-Time IIR Filters  

Oleh:

Yamamoto, Yutaka ; Anderson, Brian D. O ; Nagahara, Masaaki ; Koyanagi, Yoko

Jenis: Article from Article
Dalam koleksi: Final Program and Book of Abstracts: The 4th Asian Control Conference, September 25-27, 2002 (Sep. 2002), page 2008-2013.
Topik: Discrete-Time; IIR Filters; FIR; Finite Impulse Response
Fulltext: AC021231.PDF (172.47KB)

Isi artikel

FIR(Finite Impulse Response) filters are often preferred to IIR(Infinite Impulse Response) filters because of their various advantages in stability, phase characteristic possibilities, implementation, etc. This paper proposes a new method to approximate an IIR filter by an FIR filter, which directly yields an optimal approximation with respect to the H8 error norm. We formulate this design problem as the minimization of the H8 norm of the error transfer function of the difference between the given IIR filter and an FIR filter to be designed. We show that this design problem can be reduced to an LMI (Linear Matrix Inequality). We will also make a comparison via a numerical example with an existing approximation method, known as the Nehari shuffle.

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