This paper is devoted to frequency estimation of a pure sinusoidal signal. The new parameterization approach based on applying delay operators to a measurable signal is proposed. The result is the first order linear regression model with one parameter, which depends on the signal frequency. The estimation algorithm is basing on standard gradient approach. It is shown that the frequency estimation error converges to zero exponentially fast. The described method does not require measuring or calculating derivatives of the input signal and uses only one integrator. The efficiency of the proposed approach is demonstrated through the set of numerical simulations.