Use of the symmetrical number system in resolving single-frequencyundersampling aliases

Authors:
P.E. Pace;R.E. Leino;D. Styer
Affiliations:
Dept. of Electr. & Comput. Eng., US Naval Postgraduate Sch., Monterey, CA;-;-
Venue:
IEEE Transactions on Signal Processing
Year:
1997

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Abstract

The relationship between the discrete Fourier transform (DFT) and the symmetrical number system (SNS) is examined as a means of resolving single-frequency undersampling aliases (f>fs/2). It is shown that the DFT naturally encodes the frequency information of a signal in a format that is in the same form as the SNS. Consequently, aliases that result from undersampling a signal can be resolved exactly using r⩾2 channels. To demonstrate the concept, two- and three-channel examples are presented. Using the SNS properties of the DFT, the undersampling aliases can be easily resolved to a much greater extent than previously possible