A method and device for judging feedback equalizer uses a correction option to compensate the limiter error, thereby avoiding error propagation. The filter coefficients of the equalizer are selected to minimize the cost functions (including an energy function of taking the correction option as the filter coefficients) of the equalizer. The equalizer includes a coefficient generator in response to the correction option. An implementation of the cases sampled the received signal to interference and noise ratio (SNR) function to receive samples from the estimated launch of the code yuan. Receive samples were quantified and are mapped to the code sent by covering the yuan sets the grid area. Regions can correspond to the estimated value of yuan a yard or can be further processed to obtain a yard yuan estimate. An embodiment estimates a transmitted symbol from a received sample as a function of Signal-to-Interference and Noise Ratio (SINR) of the received sample. The received sample is quantized and mapped to a region of a grid overlaid on the transmitted symbol constellation. The region may correspond to a symbol estimate value or may be processed further to obtain a symbol estimate value.