Use of the symmetrical number system in resolving single-frequency undersampling aliases

Author

Pace, Phillip E. ; Leino, Richard E. ; Styer, David

Author_Institution

Dept. of Electr. & Comput. Eng., US Naval Postgraduate Sch., Monterey, CA, USA

Volume

45

Issue

5

fYear

1997

fDate

5/1/1997 12:00:00 AM

Firstpage

1153

Lastpage

1160

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>f_s/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

Keywords

discrete Fourier transforms; number theory; receivers; signal resolution; signal sampling; ADC; DFT; discrete Fourier transform; discrete periodic signal; frequency information; signal undersampling; single-frequency undersampling aliases; symmetrical number system; telecommunication channels; two-channel receiver; Analog-digital conversion; Discrete Fourier transforms; Discrete transforms; Dynamic range; Fourier transforms; Frequency; Sampling methods; Signal processing; Signal resolution; Signal sampling;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.575690

Filename

575690