Versions Compared

Key

  • This line was added.
  • This line was removed.
  • Formatting was changed.

...

  • 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).

 

 



Image RemovedImage Removed

Image Added

Image Added

Anchor
F407F409F407
F409
Figure 407409: Discrete uniform distribution: parameters (left) CDF (right)

...


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

 

...


                   

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

 


each value being assigned the same probability:

...

                                            

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

with i=1...N

...

   

Mathinline
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

...


Image Added

Image Removed

Image Added

Image Removed

Anchor
F408F410F408
F410
Figure 408410: Discrete Uniform (with step 0)

...


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.

Image Removed

Image Added

Image Removed

Image Added

Anchor
F409F411F409
F411
Figure 409411: Discrete Uniform (with step 0.1)

 

 

 

...