Method and system for distributed coding of images

A non-transitory computer readable storage medium embodied thereon a program executable by a computer for performing a method, the method is for reconstructing a signal, wherein the signal is uncompressed, comprising steps of:

• obtaining an encoded signal corresponding to the signal, wherein the encoded signal includes encoded quantized dithered linear measurements of the signal, wherein the encoded quantized dithered linear measurements of the signal correspond to quantized dithered linear measurements of the signal, such that the quantized dithered linear measurements are separated into bitplanes, and each bitplane is encoded with a code at a predetermined rate that ensures a reliable correction of a prediction of the quantized dithered linear measurements of the signal;
• obtaining side information about the signal;
• using the side information to obtain a prediction of the dithered linear measurements of the signal;
• using the prediction of the dithered linear measurements of the signal and the encoded quantized dithered linear measurements to obtain the quantized linear measurements of the signal based on processing each bitplane iteratively, starting from a least significant level bitplane to a most significant level bitplane, such that at each iteration, a prediction of each bitplane is formed using the prediction of the dithered linear measurements of the signal and the bitplanes processed in the previous iterations, wherein each code for each bitplane is used to correct each bitplane prediction, so as to recover the quantized dithered linear measurements;
• and
• reconstructing the signal as a reconstructed signal using the recovered quantized dithered linear measurements, wherein the steps are performed in a decoder.

A decoder for reconstructing a signal, wherein the signal is uncompressed, comprising:

• a receiver to receive from an encoder an encoded signal corresponding to the signal, wherein the encoded signal includes encoded quantized dithered linear measurements of the signal, such that the encoded quantized dithered linear measurements of the signal correspond to quantized dithered linear measurements of the signal, wherein the quantized dithered linear measurements are separated into bitplanes, and each bitplane is encoded with a code at a predetermined rate that ensures a reliable correction of a prediction of the quantized dithered linear measurements of the signal;
• a processor is configured to obtain side information about the signal,
• use the side information to obtain a prediction of the dithered linear measurements of the signal, and uses the prediction of the dithered linear measurements of the signal and the encoded quantized dithered linear measurements to obtain the quantized linear measurements of the signal based on processing each bitplane iteratively, starting from a least significant level bitplane to a most significant level bitplane, such that at each iteration, a prediction of each bitplane is formed using the prediction of the dithered linear measurements of the signal and the bitplanes processed in the previous iterations, wherein each code for each bitplane is used to correct each bitplane prediction, so as to recover the quantized dithered linear measurements;
• and
• reconstruct the signal as a reconstructed signal using the recovered quantized dithered linear measurements, and stores the reconstructed signal in a memory in communication with the processor.

An encoder for encoding a signal, comprising:

• a receiver to receive the signal;
• a processor in communication with the receiver is configured to:
• obtain quantized dithered linear measurements of the signal;
• separate the quantized dithered linear measurements into bitplanes;
• encode each bitplane with a code at a predetermined rate that ensures a reliable correction of a prediction of the bitplane of the quantized dithered linear measurements of the signal;
• and
• a transmitter to transmit to a decoder the encoded signal corresponding to the signal;
• a receiver of the decoder to receive from the encoder the encoded signal corresponding to the signal, wherein the encoded signal includes encoded quantized dithered linear measurements of the signal, such that the encoded quantized dithered linear measurements of the signal correspond to quantized dithered linear measurements of the signal, wherein the quantized dithered linear measurements are separated into bitplanes, and each bitplane is encoded with a code at a predetermined rate that ensures a reliable correction of a prediction of the quantized dithered linear measurements of the signal;
• a processor of the decoder in communication with the receiver of the decoder obtains side information about the signal, and using the side information obtains a prediction of the dithered linear measurements of the signal, the decoder processor is configured to:
• obtain the quantized linear measurements of the signal, using the prediction of the dithered linear measurements of the signal and the encoded quantized dithered linear measurements, based on processing each bitplane iteratively, starting from a least significant level bitplane to a most significant level bitplane, such that at each iteration, a prediction of each bitplane is formed using the prediction of the dithered linear measurements of the signal and the bitplanes processed in the previous iterations, wherein each code for each bitplane is used to correct each bitplane prediction, so as to recover the quantized dithered linear measurements;
• and
• reconstruct the signal as a reconstructed signal using the recovered quantized dithered linear measurements.