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The fixed point implementation of IIR digital filters usually leads to the appearance of zero-input limit cycles, which degrade the performance of the system. In this paper, we develop an efficient Monte Carlo algorithm to detect and characterize limit cycles in fixed-point IIR digital filters. The proposed approach considers filters formulated in the state space and is valid for any fixed point representation and quantization function. Numerical simulations on several high-order filters, where an exhaustive search is unfeasible, show the effectiveness of the proposed approach.

Abstract-The authors propose a system for the assessment of Final Year Projects (FYPs) whose educational outputs have been defined previously in terms of competences. For building the proposal, eleven pre-defined competences were ranked and a different weight was assigned to each one. The ranking was made individually by all the authors following a blind two-step process. The first step consisted in ordering the competences by relevance and the second step in grading that relevance for each pair of competences having consecutive positions in the list. As a result, an overall weight was computed for each competence and the final proposal was produced by averaging the individual proposals. In addition, three moments are defined for the assessment of FYPs: the FYP process itself, the written report and the oral presentation. Bearing in mind this, the competences that can be evaluated in each moment are identified and a specific assessment form for each moment is also proposed.

During the last decades, power line communications (PLC) has emerged as an alternative to other wired line and wireless technologies. In particular, PLC has gained large acceptance for in-home scenarios, where it has become a competitive alternative to WiFi. Most PLC approaches are based on Multicarrier Modulation (MCM) using the Discrete Fourier Transform (DFT) as the basis to construct the multiple orthogonal channels. In this work, we explore the construction of MCM-PLC schemes based on the Discrete Cosine Transform Type-III even (DCT3e). We consider both SISO (single input single output) and MIMO (Multiple Input Multiple Output) PLC schemes, showing that they are a feasible alternative for in-home PLC applications.