1. A method of quantizing at least a portion of coefficients of a video block in a video coding process, the method comprising: determining, for each respective coefficient of the portion of the coefficients of the video block, coding costs for a plurality of candidate quantization levels associated with the respective coefficient, wherein the coding costs for the candidate quantization levels associated with the respective coefficient are based at least in part on predicted quantization levels of non-quantized coefficients subsequent to the respective coefficient, wherein the predicted quantization levels of the non-quantized coefficients subsequent to the respective coefficient are based at least in part on coefficient values of the coefficients subsequent to the respective coefficient; and selecting one of the plurality of the candidate quantization levels for each respective coefficient of the portion of the coefficients based on the coding costs for the plurality of candidate quantization levels associated with the respective coefficient, thereby obtaining a set of quantized coefficients.