# Signal Processing Basics

I am clear with the problem and its solution. But I am curious if it is possible to calculate all possible solutions.

• One possible set of values is ... – Chu Dec 21 '17 at 14:00

If $F_S$ is the sampling frequency then any frequency $n F_S \pm F_j$ where $j$ is 1, 2, or 3, and $n$ is any integer, will be aliased to a frequency overlapping one of your original signal frequencies ($F_1$, $F_2$, or $F_3$), and so produce the observed results.