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All-sky and wide parameter space searches for continuous gravitational wavesare generally template-matching schemes which test a bank of signal waveformsagainst data from a gravitational wave detector. Such searches can offeroptimal sensitivity for a given computing cost and signal model, but arehighly-tuned to specific signal types and are computationally expensive, evenfor semi-coherent searches. We have developed a search method based on thewell-known Viterbi algorithm which is model-agnostic and has a computationalcost several orders of magnitude lower than template methods, with a modestreduction in sensitivity. In particular, this method can search for signalswhich have an unknown frequency evolution. We test the algorithm on threesimulated and real data sets: gapless Gaussian noise, Gaussian noise with gapsand real data from the final run of initial LIGO (S6). We show that at 95%efficiency, with a 1% false alarm rate, the algorithm has a depth sensitivityof $\sim 33$, $10$ and $13$ ,Hz$^{-1/2}$ with corresponding SNRs of $\sim 60$,$72$ and $74$ in these datasets. we discuss the use of this algorithm fordetecting a wide range of quasi-monochromatic gravitational wave signals andinstrumental lines.

SOAP: A generalised application of the Viterbi algorithm to searches for continuous gravitational-wave signals