Method and gas analyzer for measuring the concentration of a gas component in a sample gas, wherein to measure the concentration of a gas component in a sample gas, a laser diode is actuated by a current and light generated by the laser diode is guided through the sample gas to a detector, the current is simultaneously varied within periodically successive sampling intervals for the wavelength-dependent sampling of an absorption line of interest of the gas component, and the current can be additionally modulated sinusoidally based on wavelength modulation spectroscopy with a low frequency and small amplitude, such that a measuring signal generated by the detector is evaluated to form a measurement result, where to improve the measuring signal-noise ratio and achieve a much lower detection limit with the same measuring distance, the current is modulated with a high (RF) frequency in the GHz range so that no wavelength modulation occurs, and an RF modulation amplitude is selected at the maximum level using the linear control range of the laser diode where, before evaluation, the measuring signal is demodulated at the radio frequency.