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A10.9
A10.9
The discrete uniform is the discrete alternative of the Uniform distribution described above. The Discrete uniform distribution is defined by the following parameters:

  • Lower bound Xmin of the distribution;
  • Upper bound Xmax of the distribution;
  • Step S (e.g. channel spacing in the case of frequency distributions);
  • Step shift Ss (e.g. to set the step values to the centre frequency of the channel).



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F409

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Figure 407409: Discrete uniform distribution: parameters (left) CDF (right)

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As a result, the generated discrete random parameter will be taking the following values:


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${{X}_{i}}={{X}_{\min }}+\left( i\times S \right)+Ss$
 (Eq. 145)

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each value being assigned the same probability:

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body$P\left( {{X}_{i}} \right)=\frac{1}{N}$
  (Eq. 146)

with i=1...N

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body$N=\frac{\left( {{X}_{\max }}-{{X}_{\min }} \right)}{S}$
  (Eq. 147)

The following examples, with a step shift of 0 and a step of 0.2, returns frequencies that will operate at 1000 MHz, for another snapshot it will be 1000.2 MHz, etc… the maximum value will be 1001 MHz


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Figure 408410: Discrete Uniform (with step 0)

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Adding a step shift of 0.1 and keeping a step of 0.2, returns frequencies that will operate at 1000.1 MHz, 1000.3 MHz etc… with a maximum value of 1000.9 MHz.

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Figure 409411: Discrete Uniform (with step 0.1)

 

 

 

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