Closed-form expression of smith forms for pseudo-circulants

Yuan-Pei Lin*, See May Phoong


研究成果: Conference article同行評審


The pseudo-circulant matrices arise naturally in the block filtering application of multirate systems. More recently, there has been considerable interests in pseudo-circulants for the applications of precoding and discrete multitone communications systems. In these systems, a scalar FIR channel P(z) is cast as a pseudo-circulant channel matrix. Many important channel properties have been derived from the Smith form and the decomposition of pseudo-circulants. In this paper, we will show that the Smith form of an FIR pseudo-circulant matrix can be given in terms of the zeros of the underlying scalar filter P(z). Once the zeros of P(z) are known, the Smith form of the corresponding pseudo-circulant matrix can be obtained in closed form.

頁(從 - 到)292-295
期刊Proceedings - IEEE International Symposium on Circuits and Systems
出版狀態Published - 26 5月 2002
事件2002 IEEE International Symposium on Circuits and Systems - Phoenix, AZ, United States
持續時間: 26 5月 200229 5月 2002


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