Sridhar Gollamudi Shirish Nagaraj Yih-Fang Huang Laboratory for Image and Signal Analysis Department of Electrical Engineering University of Notre Dame Notre Dame, IN 46556 E-mail: [email protected] Abstract | This paper presents the concept of SetMembership Filtering (SMF), an extension of SetMembership Identi cation (SMI) theory to the general ltering problem. A toolbox of adaptive solutions cal...

Set-Membership Filter (SMF) has been extensively studied for state estimation in the presence of bounded noises with unknown statistics. Since it was first introduced 1960s, studies on SMF have used set-based description as its mathematical framework. One important issue that overlooked is optimality SMF. In this work, we put forward a new framework using concepts uncertain variables. We establ...

This paper is concerned with the set-membership filtering problem for a class of linear time-varying systems norm-bounded noises and impulsive measurement outliers. A new representation proposed to model outlier by an signal whose minimum interval length (i.e., duration between two adjacent signals) norm norms all are larger than certain thresholds that adjustable according engineering practice...

Channel estimation in communication systems is one of the most important issues that can reduce the error rate of sending and receiving information as much as possible. In this regard, estimation of OFDM-based wireless channels using known sub-carriers as pilot is of particular importance in frequency domain. In this paper, channel estimation under short cyclic prefix (CP) in OFDM system is con...

Abstarct In this paper, combination of channel, receiver frequency-dependent IQ imbalance and carrier frequency offset estimation under short cyclic prefix (CP) length are considered in OFDM system. An adaptive algorithm based on the set-membership filtering (SMF) algorithm is used to compensate for these impairments. In short CP length, per-tone equalization (PTEQ) structure is used to avoid i...

Decision feedback equalizers are commonly employed to reduce the error caused by intersymbol interference. Here, an adaptive decision feedback equalizer is presented with a new adaptation algorithm. The algorithm follows a block-based approach of normalized least mean square (NLMS) algorithm with set-membership filtering and achieves a significantly less computational complexity over its conven...