I think that a salary raise every quarter is overkill. Normally, that increase is based on some evaluation, which takes time and effort, and ultimately, money. And paperwork.
While it may happen, it is not usual.
Salary increases are done usually once per year. It is your opportunity at that time to request for a bigger salary increase, to cover all smaller salary increases which you expect to have every quarter.
Bottom line: not really fair. It will probably not hurt much to discuss with your manager, but don't go there with big expectations.
The "Why"
Salary raises are usually correlated to any (combination) of the following:
- taking more responsibilities;
- doing exceptionally good work;
- exceeding expectations;
- being promoted.
While it is possible for somebody to evolve fast for a while, that cannot go on for a long time.
Also usually, in case of promotions and / or new responsibilities, salary is automatically negotiated.
In the other cases, the yearly evaluation is the good answer. In that way, you can prove that the good work is a "way of life", not an accident of 1 day.