This letter presents a new algorithm for the precise estimation of the frequency of a complex exponential signal in additive, complex, white Gaussian noise. The discrete Fourier transform (DFT)-based algorithm performs a frequency interpolation on the results of an N point complex fast Fourier transform. For large N and large signal to noise ratio, the frequency estimation error variance obtained is 0.063 dB above the Cramer-Rao Bound. The algorithm has low computational complexity and is well suited for real time applications.
- Discrete Fourier transform (DFT)
- Fast Fourier transform (FFT)
- Frequency estimation