Optimization of multisine excitations for receiver undersampling

An algorithm for optimizing the frequency distribution of an arbitrary multisine signal is presented to reduce the power consumption and computational complexity of a multisine receiver. By careful selection or adjustment of each frequency component in the applied multisine signal, undersampling and frequency aliasing in the receiver can be used to reduce the circuit power consumption contributed to operating frequency and also increase the bin utilization of the discrete Fourier transform (DFT) analysis frequencies. One example of an optimized 25-tone log-spaced multisine signal shows that the sampling frequency in the receiver can be reduced to only 4% of the Nyquist frequency. In addition, the computational complexity of calculating the DFT is reduced by a factor of 38.