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

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  • \$\begingroup\$ One possible set of values is ... \$\endgroup\$
    – Chu
    Dec 21, 2017 at 14:00

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You cannot calculate all of the solutions because there are an infinite number of solutions.

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.

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  • \$\begingroup\$ I got it. But, what if F4 is not there. Then also there will be infinite options I guess like (450,625,950) or (450,625,7050)..... \$\endgroup\$ Dec 21, 2017 at 6:37

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