Four time-frequency shifts of a nonzero Schwartz function can be linearly dependent, and no smaller number can, so the minimum cardinality of a dependent Gabor system is exactly 4.
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The Minimum Cardinality of a Dependent Finite Gabor System Is Four
Four time-frequency shifts of a nonzero Schwartz function can be linearly dependent, and no smaller number can, so the minimum cardinality of a dependent Gabor system is exactly 4.