A hierarchical lossless encoding and decoding apparatus comprising an encoding apparatus and a decoding apparatus, said encoding apparatus comprising:
- a low-bit-rate encoder for encoding an input signal into low-bit-rate encoded data and transmitting the low-bit-rate encoded data to the decoding apparatus;
- a low-bit-rate decoder for decoding said low-bit-rate encoded data into a low-bit-rate decoded signal and outputting the low-bit-rate decoded signal;
- a lossless encoder for encoding a differential signal between the low-bit-rate decoded signal output from said low-bit-rate decoder and said input signal, into lossless encoded data, and transmitting the lossless encoded data to the decoding apparatus;
- and
- a corrective information extractor for extracting corrective information from said low-bit-rate decoded signal and transmitting the corrective information to the decoding apparatus;
- said decoding apparatus comprising:
- a low-bit-rate decoder for decoding the low-bit-rate encoded data transmitted from said encoding apparatus into a low-bit-rate decoded signal;
- a lossless decoder for decoding the lossless encoded data transmitted from said encoding apparatus into a differential signal;
- a corrector for correcting said low-bit-rate decoded signal based on the corrective information transmitted from said encoding apparatus;
- and
- an adder for adding the low-bit-rate decoded signal corrected by said corrector and said differential signal into a lossless reproduced signal.