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Composition of digital all-pass lattice filter and gradient adaptive filter for amplitude and delay estimation of a sinusoid with unknown frequency

A composite structure for joint amplitude and time delay estimation of a delayed sinusoidal signal is proposed in this paper. The proposed method composed of a digital all-pass lattice structure and a gradient adaptive structure. The lattice structure receives the reference sinusoidal signal and provides the desirable regressor signals for the adaptive structure. Also, this structure is furnished with a frequency estimation mechanism. Applying the regressor signals, the delayed sinusoidal signal and the estimated frequency, the adaptive structure which is a gradient based filter estimates the amplitude and time-delay of the delayed sinusoid. Simulations illustrate the desirable performance of the proposed method.