Information recovery using undersampling in orthogonal frequency division multiplexing systems

The architecture of a telecommunication system based on Orthogonal Frequency Division Multiplexing (OFDM) used to transfer sparse information is described in this paper. The inherent data sparsity in conjunction with the Forward Error Correction techniques and the properties of the Discrete Fourier Transform employed by OFDM modulation, allows the estimation of several samples from others that have already been retrieved by the Analog Digital Converter at the side of the receiver. More specifically, the method presented here allows the estimation of up to ¼ of the values required by the Discrete Fourier Transform at the side of the receiver from other available samples. The number of the samples that can be estimated from others can be further increased if the input data obey to additional restrictions. The proposed method reduces the buffering memory requirements for sample storage by 25% as well as the power consumption of the Analog Digital Converter used at the receiver.