Sinusoidal parameter estimation from signed measurements obtained via time-varying thresholds

• We consider the problem of sinusoidal parameter estimation using signed observations obtained via one-bit sampling with time-varying thresholds. In a previous paper, a relaxation based algorithm, referred to as IbRELAX, has been proposed to iteratively maximize the likelihood function. However, IbRELAX can only he used in applications involving a small number of sinusoids due to the time-consuming exhaustive search procedure needed in each iteration. In this paper, we present a majorizalion-minimization (MM) based IbRELAX algorithm, referred to as IbMMRELAX, to enhance the computational efficiency of IbRELAX. Using the MM technique, IbMMRELAX maximizes the likelihood function iteratively using simple FFT operations to reduce the computational cost of IbRELAX while maintaining its excellent estimation accuracy. Numerical examples are presented to demonstrate the effectiveness of the proposed method.

Subject headings

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Signalbehandling (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Signal Processing (hsv//eng)

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