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This contribution considers the sampling process for Finite Rate of Innovation signals including quantisation errors and additive white Gaussian noise. For some applications the total amount of bits available for the sampling process is constrained, e.g. due to memory limitations. Thus, the sharing of these bits between sampling rate and the quantisation accuracy has to be optimised. In particular,...
This paper analyses the estimation process for Finite Rate of Innovation (FRI) signals. The main contribution is the derivation of the well known Cramér-Rao Bound (CRB) for the estimation of signal parameters for a pulse stream. Other publications consider the estimation of the signal instead of its parameters or omit the effect of sampling. In this contribution both effect are considered and analytical...
This paper addresses the sampling of Finite Rate of Innovation (FRI) signals and proposes new lower bounds for accurate reconstruction. Recently, the FRI approach has been established next to the Compressed Sensing framework to deal with signals which are sparse in their parametric description. Many authors showed that a reconstruction is exactly possible in the absence of noise and, therefore, lower...
This paper proposes a novel system design for signal acquisition in Particle Tracking Velocimetry (PTV) applications. For exploiting the Finite Rate of Innovation (FRI) of these signals an appropriate sampling kernel is designed and the reconstruction process is illustrated. The main contribution is to show that aliasing effects can be neglected under certain conditions and an exact reconstruction...
This work analyses a multi-user relay network with orthogonal channel access using OFDMA. For the considered Multiple Access Relay Channel (MARC) the relay performs non-adaptive Decode & Forward (DF) with repetition coding. The objective of this paper is to find a resource allocation (subcarrier and power) which maximises the sum rate. Within this context, different algorithms are proposed which...
This paper considers the resource allocation problem for a Multiple Access Relay Channel (MARC). A transmission scheme with OFDMA and Amplify-and-Forward (AF) relaying is assumed. To maximise the sum rate a joint allocation of transmit power and subcarriers has to be done. This problem is known to be NP-hard and can only be solved by an exhaustive search which is not feasible for practical problem...
In the past decade network coding has become a broad research area. Since the benefit of relays is well-known they have been considered within countless studies. Furthermore, it seems to be widely accepted that user cooperation promises a huge benefit. This paper considers a two-user relay network with a TDMA structure. Several cooperative and non-cooperative transmission schemes are analyzed. The...
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