The Analysis and Interpretation of Multibeam Radio Survey Data |
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Page 39
... peak amplitude R ( 0 ) = T ( TT / 1n2 ) exp [ - ( π TV ) 2 / 4 ln 2 ] av This integral can be recognized as the error function : ≈ erf ( 1.9T V¿ ) . For small x , erf ( x ) 2x / √π ( Abramowitz and Stegun 1965 ) , so the peak response ...
... peak amplitude R ( 0 ) = T ( TT / 1n2 ) exp [ - ( π TV ) 2 / 4 ln 2 ] av This integral can be recognized as the error function : ≈ erf ( 1.9T V¿ ) . For small x , erf ( x ) 2x / √π ( Abramowitz and Stegun 1965 ) , so the peak response ...
Page 77
... response as a whole were too confused for a combined fit to succeed . The method developed for estimating the right ... peak response in each channel . That this was the correct weighting to use was justified by several Monte- Carlo ...
... response as a whole were too confused for a combined fit to succeed . The method developed for estimating the right ... peak response in each channel . That this was the correct weighting to use was justified by several Monte- Carlo ...
Page 79
... peak response in that channel . If the res- ponse is too broad , or asymmetrically broadened , the estimates will also be in error . Within these limitations , however , the procedure was found to be satisfactory . The source detection ...
... peak response in that channel . If the res- ponse is too broad , or asymmetrically broadened , the estimates will also be in error . Within these limitations , however , the procedure was found to be satisfactory . The source detection ...
Contents
3 | 27 |
a Description of Required DataReduction | 34 |
b The Detection and Removal of Impulse | 37 |
9 other sections not shown
Common terms and phrases
accurate amplitude analysis applied approximately arc minutes Arecibo Arecibo telescope baseline beam separations beam shape beam-row brightness temperature calibration information calibration sources channel chapter cluster confusion noise correction cross-correlation cut-off data points data spectrum declination detected source determined display Figure filter flux errors flux estimates frequency function gain variations galactic galactic equator Gaussian gaussian interpolation half-width interference interpolation isotropy least-squares line feeds magnetic tape Maximum Likelihood measured method Monte-Carlo multi-beam survey multi-beam survey data multi-beam survey source nearest-neighbour non-confusion errors number of sources Nyquist frequency P₁ parameter estimates peak response Pleticha plot ponses position and flux position errors procedure programme radio sources random receiver noise receiver output rectangle function reflector surface response widths right ascension sampled data smoothing source density source distribution source flux source list source parameters source positions source responses steradian systematic techniques telescope temperature tion trial survey variance