An algorithm for evaluating the frequency of a rotating vector
Abstract
An algorithm is presented for calculating the frequency of a complex signal represented by a rotating vector, given two sequences of N uniformly spaced samples for an inphase component and a quadratic component. Each sample represents a value of the pertinent component of the signal corrupted by noise, which was found to be an ergodic stochastic process with a Gaussian distribution. Due to the noise, the computed frequency was affected by errors and the magnitude of these errors was determined for signaltonoise ratios of 612 dB. Results showed an error variance of 0.1 to 1 percent of the maximum value of the frequency. It is noted that this algorithm can be applied to extracting the range of a target, especially if a programmable digital computer is used for radar signal processing.
 Publication:

IEEE Transactions on Computers
 Pub Date:
 August 1979
 Bibcode:
 1979ITCmp..28..560F
 Keywords:

 Algorithms;
 Background Noise;
 Complex Variables;
 Frequency Measurement;
 Sine Waves;
 Stochastic Processes;
 Computerized Simulation;
 Data Sampling;
 Error Analysis;
 Estimating;
 Rotation;
 Signal To Noise Ratios;
 Standard Deviation;
 Vector Analysis;
 Communications and Radar