A heating system which may include a bonding membrane having a water permeable lamina, an electrically conductive ink-based radiant heater, and a first adhesive adapted to adhere to both the conductive ink-based radiant heater and the bonding membrane. The heating system may be incorporated in a floor including a substrate, the heating system and a decorative floor surface. The heating system may also be in the form of a multilayer panel having a bonding membrane, an electrically conductive ink-based heater including a plurality of electrically resistive strips printed on a first polymer sheet connected by electrically conductive buses, and electrical conductors extending from the buses to at least an edge of the panel.