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

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/sub s//2). It is shown that the DFT naturally encodes the frequency information of a signal in a format that is in...

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Published in:IEEE transactions on signal processing 1997-05, Vol.45 (5), p.1153-1160
Main Authors: Pace, P.E., Leino, R.E., Styer, D.
Format: Article
Language:English
Subjects:
Analog-digital conversion
Analog-digital conversion, digital-analog conversion, pcm coding
Applied sciences
Discrete Fourier transforms
Discrete transforms
Dynamic range
Exact sciences and technology
Fourier transforms
Frequency
Information, signal and communications theory
Sampling methods
Signal and communications theory
Signal processing
Signal resolution
Signal sampling
Telecommunications and information theory
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cited_by cdi_FETCH-LOGICAL-c337t-684c6947d2309ff7808439872f09792c7bd99644a99a52d771e9dbd23c7e65733
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description 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/sub 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/spl ges/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.
doi_str_mv 10.1109/78.575690
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subjects Analog-digital conversion
Analog-digital conversion, digital-analog conversion, pcm coding
Applied sciences
Discrete Fourier transforms
Discrete transforms
Dynamic range
Exact sciences and technology
Fourier transforms
Frequency
Information, signal and communications theory
Sampling methods
Signal and communications theory
Signal processing
Signal resolution
Signal sampling
Telecommunications and information theory
title Use of the symmetrical number system in resolving single-frequency undersampling aliases
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