DETECTION OF THE ENERGY PEAK OF AN ARBITRARY SIGNAL
Abstract
A new procedure is described for determining that frequency at which the power spectrum of a signal has its absolute peak. The salient feature of the procedure is that it does not explicitly involve the estimation of the power spectrum of the signal itself. Specifically, it is shown that the limit of the iterated normalized autocorrelation of a function f(t) is a pure cosine wave whose frequency corresponds to the location of the maximum energy density in the spectrum of f(t). Furthermore, if one is willing to accept the frequency of maximum energy to within a given finite spectral resolution, then the procedure terminates after a specified finite number of iterations. Results from a computer simulation of the procedure are also described. The areas of application of this procedure are discussed. The results indicate that this method of detecting a signal (i. e., by the peak of its spectrum) merits further consideration. It is important to note that the effects of noise have not been considered in this initial study; the results apply to the received signal only.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 23, 1963
- Accession Number
- AD0425894
Entities
People
- L. Kleinrock
Organizations
- Massachusetts Institute of Technology