generate random numbers between limits and satisfy condition

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Hello All,
I am trying to generate two sets of 16 length random number sequences.
x1, x2, x3 ...x16
y1, y2, y3 ...y16
(x,y) lies between 5000 and 6000
The separation between x(n) and x(n+1) should be between +/-(20 - 100). It need not be equally spaced.
The separation between x(n) and y(n) should be +/- 300. The y(n) also should belong to 5000 - 6000 range
I need to check how many such sets can satisfy these conditions.
Kindly help me with a logic or the best way to implement in MATLAB

Answers (1)

KSSV on 12 Feb 2021
Edited: KSSV on 12 Feb 2021
How about something like this?
a = 5000 ; b = 6000 ;
x = zeros(1,16) ;
x(1) = randi([a b],1,1) ;
for i = 2:16
x(i) = randi([x(i-1)+20 x(i-1)+100],1,1) ;
mounika on 12 Feb 2021
Edited: mounika on 12 Feb 2021
Thank you again for your respone. I generated Y sequence. but the diff is not maintained for Y. (Please see the attached screenshot)
Also, I was wondering by doing [x(i-1)+20 x(i-1)+100] aren't we missing out the other numbers as in,
if x(i-1) = 5510,
x(i-1)+20 = 5530, aren't we missing x(i-1)-20 = 5490. Similarly for x(i-1)+100.
Also, it is important that x(i-1)+20 / x(i-1) -20/ x(i-1)+100 / x(i-1)-100 should belong to the range of 5000 and 6000
By ignoring those numbers, Am i going to miss number of sequences that can be formed with these conditions. Kindly advise

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