Title :
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
fDate :
5/1/1997 12:00:00 AM
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
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;
Journal_Title :
Signal Processing, IEEE Transactions on
