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The eigenvalue decomposition (EVD) of a Hermitian matrix in terms of unitary matrices is well known. In this paper, we present an algorithm for the approximate EVD (AEVD) of a para-Hermitian (PH) system. Here, the approximate diagonalization is carried out successively by applying degree-1 finite impulse response (FIR) paraunitary (PU) transformations. The(More)
—The eigenfilter method for digital filter design involves the computation of filter coefficients as the eigenvector of an appropriate Hermitian matrix. Because of its low complexity as compared to other methods as well as its ability to incorporate various time and frequency-domain constraints easily, the eigenfilter method has been found to be very(More)
Acknowledgments First of all, I would like to express my profound gratitude to my advisor, Professor P.P. Vaidyanathan, for his outstanding guidance and support during my stay at Caltech. P.P. is a fascinating teacher and a thoughtful mentor, always ready to share his expertise with the students. He is also a thorough, brilliant researcher and I benefited(More)
The advent of discrete multitone modulation (DMT) systems in recent years has brought to light the importance of channel shortening equalizers. In this paper, we present a method for the design of one such equalizer for multiple-input multiple-output (MIMO) linear dispersive channels. This method is a generalization of one that was used for shortening of(More)
—We present a new low-complexity method for the design of channel shortening equalizers for discrete multitone modulation systems using the eigenfilter approach. In contrast to other such methods which require a Cholesky decomposition for each delay parameter value used, ours requires only one such decomposition. Simulation results show that our method(More)
In this paper, a method for approximating a multi-input multi-output (MIMO) transfer function by a causal finite-impulse response (FIR) paraunitary (PU) system in a weighted least-squares sense is presented. Using a complete parameterization of FIR PU systems in terms of Householder-like building blocks, an iterative algorithm is proposed that is greedy in(More)
The problem of estimating the frequencies of sinusoids buried in noise has been one of great interest to the signal processing community for many years, especially to those involved in the field of array processing. While many methods have been proposed to solve this problem, most involve processing in the fullband. In this paper, we investigate the effects(More)
– The design of time-domain equalizers or TEQs for discrete multitone modulation (DMT) systems has recently received much attention. In this paper, we present a generalization of one such design method which takes into account the noise observed in a DMT channel. Furthermore, we show how this generalization can be used for the design of fractionally spaced(More)