Forum Discussion
Pseudo-random Number Generator
Hi,
I have looking for a Pseudo-random number generator with some maximum linit. I know the LFSR approach but I dont know how to limit the maximum number generated by the LFSR. For example if I want to use an 8-bit LFSR with maximum limit of 200. How to limit the LFSR so that number must not exceed 200. Any link, idea or circuit will be highly appreciated Thanks Ali Umair12 Replies
- Altera_Forum
Honored Contributor
Simply scale to 150 and add 50 to the result.
- Altera_Forum
Honored Contributor
I think the scaling method is good enough for me to use in my design. Another question is, how I can add the lower limit? i.e. how can i generate a random number that should be less than 200 but greater than 50?
- Altera_Forum
Honored Contributor
--- Quote Start --- Yes, it does rather depend on what sort of random numbers you want! --- Quote End --- one other method is to get your values in software(e.g. matlab) of any range you choose then store them in LUT and run it from there. As such you can choose whatever type of random values are available in the tool. - Altera_Forum
Honored Contributor
Yes, it does rather depend on what sort of random numbers you want!
- Altera_Forum
Honored Contributor
You are correct. I made the assumption that the implementation was not meant to pass any such tests as chi-squared or others, given the small size of the sampling field. I could be wrong.
- Altera_Forum
Honored Contributor
55 values would appear twice as often as the other 201 - regardless of the LFSR length.
- Altera_Forum
Honored Contributor
--- Quote Start --- In theory, you need to change your lfsr_out to the range of 0 to 1 (1 not included) and then scale it by (limit + 1). In your 8-bit case: wire [15:0] temp = lfsr_out * 16'd201; wire [7:0] result = temp [15:8]; lfsr_out is the output of your LFSR and result is what you are looking for. --- Quote End --- This way you'll get a non uniform distribution, namely some values would be much more frequent than others, expecially if LFSR output range is not a lot bigger than the desired range. Extending the LFSR length would help improving the distribution. - Altera_Forum
Honored Contributor
In theory, you need to change your lfsr_out to the range of 0 to 1 (1 not included) and then scale it by (limit + 1). In your 8-bit case:
wire [15:0] temp = lfsr_out * 16'd201; wire [7:0] result = temp [15:8]; lfsr_out is the output of your LFSR and result is what you are looking for. - Altera_Forum
Honored Contributor
--- Quote Start --- Infinite is an exaggeration :-) Especially if the source is an LFSR. --- Quote End --- Infact I said undefinite, not infinite. I mean it could require one cycle (in about 80% of cases), two retries (16%), three (3.2%, right?) and so on. - Altera_Forum
Honored Contributor
Infinite is an exaggeration :-) Especially if the source is an LFSR.