Abstract: A method for searching data includes storing a probe data and a target data expressed in a first orthogonal domain. The target data includes potential probe match data each characterized by the length of the target data. The probe data representation and the target data are transformed into an orthogonal domain. In the orthogonal domain, the target data is encoded with modulation functions to produce a plurality of encoded target data, each of the modulation functions having a position index corresponding to one of the potential probe match data. The plurality of encoded target data is interfered with the probe data in the orthogonal domain and an inverse transform result is obtained. If the inverse transform result exceeds a threshold, information is output indicating a match between the probe data and a corresponding one of the potential probe match data.

Abstract: A method for searching sequences includes storing a probe sequence and a target sequence expressed in a first orthogonal domain. The target sequence includes potential probe match sequences each characterized by the length of the target sequence. The probe sequence representation and the target sequence are transformed into an orthogonal domain. In the orthogonal domain, the target sequence is encoded with modulation functions to produce a plurality of encoded target sequences, each of the modulation functions having a position index corresponding to one of the potential probe match sequences. The plurality of encoded target sequences is interfered with the probe sequence in the orthogonal domain and an inverse transform result is obtained. If the inverse transform result exceeds a threshold, information is output indicating a match between the probe sequence and a corresponding one of the potential probe match sequences.