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In the last decade, significant research on detection algorithms capable of mitigating the effects of colored Gaussian thermal noise and transition noise in storage systems, has been performed. In this paper, we present a new detection scheme based on a multidimensional detector front end and multidimensional linear prediction, applied to maximum a posteriori probability (MAP) sequence detection. This method improves the bit-error-rate (BER) performance with respect to previous approaches and makes the detector quite insensitive to transition noise. We show that the gain in terms of BER versus signal-to-noise ratio with our detector increases with the user density. The results obtained for a magnetic storage channel are extendable to optical storage systems as well.Index Terms-Longitudinal and perpendicular recording, magnetic storage systems, multidimensional linear prediction, multidimensional signal processing, optical storage systems, transition noise.

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In this paper, we investigate the relation between the quadrature amplitude modulation (QAM) input information rates (IRs) of multi-carrier (MC) and single carrier (SC) systems transmitted over inter-symbol interference (ISI) channels with additive white Gaussian noise (AWGN). In particular, considering uniform power spectrum transmission, we conjecture that, for a given channel impulse response, the IR corresponding to an SC input distribution is higher than that corresponding to an MC input distribution. We give an intuitive justification of our conjecture and confirm it, by means of numerical results, considering two sets of randomly generated channels.

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Abstract-This paper investigates the application of information-theoretic techniques to the design of advanced communication and storage systems. We use the information rate (IR), evaluated using a recently proposed efficient numerical technique, as the key parameter characterizing the system performance. As case studies, we consider three different scenarios: (i) single-carrier (SC) and multi-carrier (MC) transmission systems over linear dispersive channels, (ii) digital storage systems impaired by media noise, and (iii) optical communication systems with direct photo-detection. The obtained results show that a clever IR analysis can provide significant insights into system performance and design in several scenarios of interest in current applications.

Abstract-In the last decade, significant research has been performed on detection algorithms capable of mitigating the effects of colored Gaussian thermal noise and transition noise in digital storage systems. In this paper, we present a new Maximum A-Posteriori Probability (MAP) sequence detection scheme based on oversampling and linear prediction. The proposed solution improves the Bit Error Rate (BER) performance with respect to conventional systems and makes the detector more robust against transition noise. The results obtained for a magnetic channel can be also extended to optical storage systems.