In this paper we analyze the mean squared error (MSE) for one-bit compressed sensing schemes based on measurement matrices that correspond to unit norm tight frames. We show that, as in the unquantized case, sensing with unit norm tight frames improves the MSE in the reconstruction of sparse vectors from one-bit measurements using l1 and thresholding algorithms. From our analytical and experimental results we conclude that when implementing one-bit compressed sensing schemes with fixed measurement matrices unit norm tight frames are the measurements of choice

JF - IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP) ER - TY - CONF T1 - Adaptive one-bit compressive sensing with application to low-precision receivers at mmWave T2 - IEEE Global Telecommunications Conf. (GLOBECOM), Y1 - 2015 A1 - C. Rusu A1 - R. Méndez-Rial A1 - Nuria González-Prelcic A1 - R. W. Heath, Jr KW - compass KW - mmWave JF - IEEE Global Telecommunications Conf. (GLOBECOM), ER - TY - CONF T1 - Low Resolution Adaptive Compressed Sensing for mmWave MIMO receivers T2 - Asilomar Conf. on Signals, Systems, and Computers Y1 - 2015 A1 - C. Rusu A1 - Nuria González-Prelcic A1 - R.W. Heath Jr. KW - compass KW - mmWave JF - Asilomar Conf. on Signals, Systems, and Computers ER -