Abstract

Knowledge of the bandwidth of a signal allows for extrapolation over a time interval that can be many times the length of the given segment. Computer results, utilizing a version of a one-step small-matrix minimum-energy procedure, have shown that such extrapolation is feasible in the presence of noise and coarse (5-bit) quantization. It is shown here, however, that such a minimum-energy procedure cannot produce enhanced spectral resolution even in the absence of noise. By generalizing a unifying model for such procedures to include non-minimum energy bandlimited extrapolation, a new algorithm is proposed that allows for tradeoffs to be made between enhanced spectral resolution and reduced sensitivity to out-of-band noise. This algorithm may also be utilized in two dimensions to enhance the spatial resolution of an aperture-limited sensor when viewing a region of limited extent. However, resolution enhancement by bandlimited extrapolation appears to be practical only if the resolution is extremely poor to begin with.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.