# 2D Sinusoidal Parameter Estimation with Offset Term

## TL;DR

This paper addresses 2D sinusoidal parameter estimation including an offset term, deriving the maximum likelihood estimator and the Cramer-Rao lower bound to improve understanding of estimation accuracy.

## Contribution

It introduces a novel model with an offset term for 2D sinusoidal estimation and derives the MLE and CRLB for this model.

## Key findings

- Derived the MLE solution for the 2D sinusoid with offset
- Established the CRLB for estimator variance
- Provides theoretical bounds for estimation accuracy

## Abstract

We consider the parameter estimation of a 2D sinusoid. Although sinusoidal parameter estimation has been extensively studied, our model differs from those examined in the available literature by the inclusion of an offset term. We derive both the maximum likelihood estimation (MLE) solution and the Cramer-Rao lower bound (CRLB) on the variance of the model's estimators.