A novel hyperspectral single pixel system was used to compare different compressive basis patterns for intensity imaging, lifetime imaging, and FRET quantification. Six popular basis patterns were compared experimentally in a phantom containing two fluorescent dyes. The basis patterns that performed best for lifetime quantification were used to measure FRET occurrence in well-plate samples with varying acceptor-donor ratios. The ABS-WP approach using Haar patterns and the compressive sensing approach with Hadamard Ranked patterns displayed the best overall performances at a 50% compression ratio.