Method and system for a delta quantizer for MIMO pre-coders with finite rate channel state information feedback

A method, comprising:

• estimating, in a receiver, an estimation matrix of a transfer function associated with a wireless channel;
• generating, in the receiver, a decomposed estimation matrix by performing singular value decomposition on the estimation matrix;
• generating, in the receiver, a quantized matrix by quantizing a portion of the decomposed estimation matrix, the quantizing including determing a relationship between a previously quantized portion of the decomposed estimation matrix and a unitary matrix;
• and
• communicating, from the receiver, the unitary matrix to transmitters in communication with the receiver.

A receiver, comprising:

• a processor;
• an estimation block, coupled to the processor, configured to generate an estimation matrix of channel state information associated with a transfer function of a wireless channel;
• a decomposition block, coupled to the processor, configured to generate a decomposed estimation matrix by performing singular value decomposition on the estimation matrix;
• a quantization block, coupled to the processor, configured to generate a quantized matrix by quantizing a portion of the decomposed estimation matrix, the quantizing including determining a relations between a previously quantized portion of the decomposed estimation matrix and a unitary matrix, and to include the previously quantized portion of the decomposed estimation matrix in a codebook, the codebook including the unitary matrix;
• and
• a feedback block, coupled to the processor, configured to communicate only an index associated with the unitary matrix to transmitters in communication with the receiver.