In wireless communication systems, there is a need to estimate and compensate for frequency offsets. What is common to frequency offset estimators, is that they only can give correct results within a certain range, up to the Nyquist frequency. This makes a difference especially in OFDM systems with pilots only at certain symbols, such as LTE. In this paper we present an algorithm where the Nyquist frequency is increased, up to the same value as if pilots were present in all OFDM symbols. The algorithm is based on using two or more frequency offset estimators, with lower, but different, Nyquist frequencies.