A consistent non-iterative method is proposed for estimating the param
eters of undamped exponential signals when the parameters are complex
valued. Such data arise in several areas of application, including tel
ecommunication, seismic signal processing and computer-assisted medica
l diagnostics. Among the non-iterative methods, the best known is the
modified Forward Backward Linear Prediction method of Tufts and Kumare
san, which is not consistent. It is observed that the proposed method
is consistent and provides accurate frequency estimates at lower signa
l to noise ratio than the currently existing non-iterative techniques.