Heterodyne-based optical spectrum analysis involves measuring the sweep rate of a swept local oscillator signal and then generating an output signal that accounts for non-uniformities in the sweep rate of the swept local oscillator signal. In an embodiment, an input signal is combined with a swept local oscillator signal in an optical coupler and the sweep rate of the swept local oscillator signal is measured in a relative frequency measurement system. The combined optical signal is output from the optical coupler to a receiver and a heterodyne beat signal is generated. The heterodyne beat signal and measured local oscillator frequency sweep rate information are utilized by a signal processor to generate an output signal that is indicative of an optical parameter of the input signal and that accounts for non-uniformities in the sweep rate of the local oscillator signal. Because the actual sweep rate of the swept local oscillator signal is measured during analysis of the input signal, the horizontal scale accuracy of heterodyne-based OSAs is improved.