Dual band antenna for a first and a second frequency range; wherein the dual band antenna comprises, - a first radiator for the first frequency range; - a second radiator for the second frequency range; and - a ground conductor as an antipole to the first and second radiators (111, 112); wherein the first radiator and the second radiator join in a V shape at a base of the dual band antenna, - wherein the first radiator, the second radiator and the ground conductor are arranged such that - for an x-axis of a Cartesian system of coordinates which runs through the base, the first and second radiators (111, 112) lie on a first side and the ground conductor lies on a second side of the x-axis; and - for a y-axis of the Cartesian system of coordinates running through the base, the first radiator lies on a first side and the second radiator lies on a second side of the y-axis, wherein - the second radiator has a trapezoidal antenna segment with an inner edge which delimits the trapezoidal segment on a side that faces towards the ground conductor; - the inner edge runs obliquely away from the x-axis as the distance from the base increases, wherein - the first radiator has a decoupling segment, a straight antenna segment and an angled antenna segment, these being consecutively disposed in the cited order starting from the base; and - the second radiator has a decoupling segment and a trapezoidal antenna segment, these being consecutively disposed in the cited order starting from the base; and wherein with an accuracy of plus / minus 15%, - the decoupling segments have an extension along the y-axis of 7.2 mm starting from the base; - the decoupling segment of the first radiator has an extension along the x-axis of 2 mm starting from the base; - the decoupling segment of the second radiator has an extension along the x-axis of 1.8 mm starting from the base; - the straight antenna segment has an extension along the x-axis of 15 mm and a width along the y-axis of 1.4 mm starting from the decoupling segment of the first radiator; - the trapezoidal antenna segment has an extension along the x-axis of 7.2 mm starting from the decoupling segment of the second radiator; - the crooked antenna segment has an extension along the y-axis of 2.4 mm starting from an edge which faces towards the ground conductor, and an extension along the y-axis of 3.8 mm starting from an edge which faces away from the ground conductor; and - the trapezoidal antenna segment has a width of 5.8 mm on a side which faces towards the decoupling segment of the second radiator, and a width of 3.7 mm on a side which faces away from the decoupling segment of the second radiator. - a first radiator for the first frequency range; - a second radiator for the second frequency range; and - a ground conductor as an antipole to the first and second radiators (111, 112); wherein the first radiator and the second radiator join in a V shape at a base of the dual band antenna, - wherein the first radiator, the second radiator and the ground conductor are arranged such that - for an x-axis of a Cartesian system of coordinates which runs through the base, the first and second radiators (111, 112) lie on a first side and the ground conductor lies on a second side of the x-axis; and - for a y-axis of the Cartesian system of coordinates running through the base, the first radiator lies on a first side and the second radiator lies on a second side of the y-axis, wherein - the second radiator has a trapezoidal antenna segment with an inner edge which delimits the trapezoidal segment on a side that faces towards the ground conductor; - the inner edge runs obliquely away from the x-axis as the distance from the base increases, wherein - the first radiator has a decoupling segment, a straight antenna segment and an angled antenna segment, these being consecutively disposed in the cited order starting from the base; and - the second radiator has a decoupling segment and a trapezoidal antenna segment, these being consecutively disposed in the cited order starting from the base; and wherein with an accuracy of plus / minus 15%, - the decoupling segments have an extension along the y-axis of 7.2 mm starting from the base; - the decoupling segment of the first radiator has an extension along the x-axis of 2 mm starting from the base; - the decoupling segment of the second radiator has an extension along the x-axis of 1.8 mm starting from the base; - the straight antenna segment has an extension along the x-axis of 15 mm and a width along the y-axis of 1.4 mm starting from the decoupling segment of the first radiator; - the trapezoidal antenna segment has an extension along the x-axis of 7.2 mm starting from the decoupling segment of the second radiator; - the crooked antenna segment has an extension along the y-axis of 2.4 mm starting from an edge which faces towards the ground conductor, and an extension along the y-axis of 3.8 mm starting from an edge which faces away from the ground conductor; and - the trapezoidal antenna segment has a width of 5.8 mm on a side which faces towards the decoupling segment of the second radiator, and a width of 3.7 mm on a side which faces away from the decoupling segment of the second radiator.