A flexible, elastic garment (1) is provided comprising biomedical sensors (3, 4, 5, 6), an electrical power distribution and data transmission bus (2, 7) and a coupling circuit for allowing contactless transmission of power and data between the sensors and a circuit external to the garment. The sensors (3, 4, 5, 6), and the bus (2, 7) for distributing the electrical power and/or transporting the data from the sensors in the garment are formed by elastic conducting yarns integrated into the fabric of the garment.