Surface plasmon resonance (SPR) is a popular technique for label-free detection of biomolecular interactions at a surface. SPR yields quantitative kinetic association and dissociation constants of surface interactions such as the binding of two molecular species, one present in the liquid phase and the other immobilized at the surface. Current state-of-the-art SPR systems extract kinetic constants from measurements of the step response of the interaction versus time. The step response measurement is subject to the influence of noise and drift disturbances that limit its minimum-detectable mass changes. This paper presents a new SPR technique that measures the biomolecular interaction not in time but over a very narrow frequency range under periodic excitation. The measured response is, thus, locked to a very specific narrow band signal. This narrow band spectral sensing scheme has a very high degree of rejection to uncorrelated spurious signals. The signal-locked SPR technique was implemented using a chemical modulator chip connected to a set of functionalized Au sensing sites downstream. Binding experiments for a model system of carbonic anhydrase-II (CA-II) analyte and immobilized 4-(2-aminoethyl)benzenesulfonamide (ABS) ligand display a 100-fold (20 dB) improvement in the measured signal-to-noise ratio (SNR) when using the new technique compared to the SNR achieved using the conventional step response method.