Sparsity Enforcing with Toeplitz Matrix Reconstruction Method for Mmwave Ul Channel Estimation with One-Bit Adcs

One-bit analog-to-digital converters enable digital beamforming in millimeter wave (mmWave) multi-input multi-output communication systems with low power consumption. Con-ventional signal processing tasks like channel estimation, though, are challenging due to the extreme quantization, making it challenging to implement uplink (UL) multiuser re-ceivers. We reformulate the UL channel estimation prob-lem as a multiplication of two specific matrices, and then we leverage Toeplitz matrix reconstruction in conjunction with the angular domain sparsity of the UL channel to recover UL channel via solving a properly designed optimization prob-lem. Our new approach is called the sparsity enforcing with Toeplitz matrix reconstruction (SE-TMR) method. Numerical simulations are carried out to showcase the advantages of SE-TMR over existing competitive methods in terms of normal-ized mean squared error in clustered narrowband channels.