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The code presented here provides these required capabilities, but has gone beyond the original design and could be used as is or easily adapted for the visualization of other particulate transport where transport occurs on discrete paths.
The Freeman chain code is a common and useful way for representing discrete paths by means of words such that each letter encodes a step in a given direction.
We define discrete paths of extrema by tracking local extremum values in the approximate solution.
We assume that a propagation channel consists of L discrete paths with different time delays.
The channel coefficients among the nodes are generated by using a tap-delay-line (TDL) model with six discrete paths.
In order to describe the effects of the multipath fading, we have considered the discrete paths model whose channel impulse response (baseband equivalent) can be written as: h ( t, τ ) = ∑ i = 0 P − 1 α ~ i ( t, τ ) δ ( τ − τ i ( t ) ). (5).
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Two algorithms are provided to generate smooth trajectories from discrete path sequences.
For the resulting discrete path segments, a static optimisation problem is formulated to determine the path independently of the considered scenario.
Second, we have not established that the discrete path integral converges to a well-defined functional measure in the continuum limit.
The discrete path activity parameters are in turn estimated conditionally on the delays and the delay rates using a grid-based method [13], which is appropriate to optimally estimate a discrete state space.
The unified approach comprises global reachability analysis at the discrete event system level, local reachability analysis at the continuous-time dynamical system level and a merging of the results of these two methods using a discrete-path search algorithm.
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