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We report on an all-sky search for periodic gravitational waves in thefrequency range $\mathrm{50-1000 Hz}$ with the first derivative of frequency inthe range $-8.9 \times 10^{-10}$ Hz/s to zero in two years of data collectedduring LIGO's fifth science run. Our results employ a Hough transformtechnique, introducing a $\chi^2$ test and analysis of coincidences between thesignal levels in years 1 and 2 of observations that offers a significantimprovement in the product of strain sensitivity with compute cycles per datasample compared to previously published searches. Since our search yields nosurviving candidates, we present results taking the form of frequencydependent, 95$%$ confidence upper limits on the strain amplitude $h_0$. Themost stringent upper limit from year 1 is $1.0\times 10^{-24}$ in the$\mathrm{158.00-158.25 Hz}$ band. In year 2, the most stringent upper limit is$\mathrm{8.9\times10^{-25}}$ in the $\mathrm{146.50-146.75 Hz}$ band. Thisimproved detection pipeline, which is computationally efficient by at least twoorders of magnitude better than our flagship Einstein$@$Home search, will beimportant for "quick-look" searches in the Advanced LIGO and Virgo detectorera.

Application of a Hough search for continuous gravitational waves on data from the 5th LIGO science run