In one embodiment, a signal-processing receiver has an upstream processor and a low-density parity-check (LDPC) decoder for decoding LDPC-encoded codewords. The upstream processor generates a soft-output value for each bit of the received codewords. The LDPC decoder is implemented to process the soft-output values without having to wait until all of the soft-output values are generated for the current codeword. Further, the LDPC code used to encode the codewords is arranged to support such processing. By processing the soft-output values without having to wait until all of the soft-output values are generated for the current codeword, receivers of the present invention may have a lower latency and higher throughput than prior-art receivers that wait until all of the soft-output values are generated prior to performing LDPC decoding. In another embodiment, the LDPC decoder processes the soft-output values as soon as, and in the order that, they are generated.