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Bandwidth enhancement by multiple resonances is a widely used technique for microstrip patch antennas. There are numerous methods to couple multiple resonances. However, such configurations often occupy considerable space and are not always acceptable for integration with other circuitry. For handheld wireless systems, a compact single patch on a moderately thick substrate is preferred. For such an antenna, achieving more than 25 percent bandwidth and moderate gain presents a challenge. We present a single-layer microstrip patch antenna on a relatively thin substrate. The design employs multiple resonances without significantly enlarging the size. It achieves 54% VSWR bandwidth and 40% gain bandwidth for VSWR<2 and G>2 dBi, respectively.