A construction approach for the 3-band tight wavelet frames by factorization of paraunitarymatrix is developed. Several necessary constraints on the filter lengths and symmetric features of wavelet frames are investigated starting at the constructed paraunitary matrix. The matrix is a symmetric extension of the polyphase matrix corresponding to 3-band tight wavelet frames. Further, the paramete...

The input autocorrelation matrix for a third order (cubic) Volterra adaptive filter for general colored Gaussian input processes is analyzed to determine how to best formulate a computationally efftcient fast adaptive algorithm. When the input signal samples are ordered properly within the input data vector, the autocorrelation matrix of the cubic filter inherits a block diagonal structure, wit...

Uncertain parameters of state-space models have always been a considerable problem. Consider Kalman filter (CKF) and desensitized Kalman filter (DKF) are two methods to solve this problem. Based on the sensitivity matrix respected to the uncertain parameter vector, a special DKF with an analytical gain is given and a new form of the CKF is derived. The mathematical equivalence between the speci...

Recent works on ad hoc network study have shown that achievable throughput can be made to scale linearly with the number of receive antennas even if the transmitter has a single antenna. In this paper, we propose a method pursuing robustness in ad hoc network system when the channel state information (CSI) of interferers is unavailable. The non-parametric linear minimum mean square error (MMSE)...

Abstract We introduce a computationally efficient variant of the model-based ensemble Kalman filter (EnKF). propose two changes to original formulation. First, we phrase setup in terms precision matrices instead covariance matrices, and new prior for matrix which ensures it be sparse. Second, split state vector into several blocks formulate an approximate updating procedure each these blocks. s...

This paper proposes a matrix converter based unified power quality conditioner (MC–UPQC) for mitigating power quality problems. This proposed system is a combination of unified power quality conditioner and matrix converter. The UPQC is a combination of back-toback connected series and shunt active filters through a dclink. Voltage disturbances and harmonics are compensated by series active fil...

Pulse width modulation strategies have been developed for indirect matrix converters (IMCs) in order to improve their performance. In indirect matrix converters, the LC input filter is used to remove input current harmonics and electromagnetic interference problems. Unfortunately, due to the existence of the input filter, the input power factor is diminished, especially during operation at low ...

Abstract. The modified discrete cosine transform (MDCT) and modified discrete sine transform (MDST) both for the evenly and oddly stacked systems are perfect reconstruction cosine/sine–modulated filter banks based on time domain aliasing cancellation (TDAC) employed in the current international audio coding standards and commercial audio compression products. Based on the matrix representation ...

We consider the problem of propagating an ensemble of solutions and its characterization in terms of its mean and covariance matrix. We propose differential equations that lead to a continuous matrix factorization of the ensemble into a generalized singular value decomposition (SVD). The continuous factorization is applied to ensemble propagation under periodic rescaling (ensemble breeding) and...