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aoi_lst_det.m
1function lst = aoi_lst_det(d)
2%AOI_LST_DET Laplace-Stieltjes transform for deterministic (constant) distribution
3%
4% lst = aoi_lst_det(d)
5%
6% Returns a function handle for the LST of a deterministic distribution
7% with constant value d.
8%
9% Parameters:
10% d (double): Constant value (must be positive)
11%
12% Returns:
13% lst (function_handle): LST function @(s) exp(-s*d)
14%
15% The LST of a deterministic random variable X = d is: H*(s) = exp(-s*d)
16%
17% See also: aoi_lst_exp, aoi_lst_erlang, aoi_lst_ph
18
19% Copyright (c) 2012-2026, Imperial College London
20% All rights reserved.
21
22if d <= 0
23 line_error(mfilename, 'Constant d must be positive');
24end
25
26lst = @(s) exp(-s .* d);
27
28end