System and Method for Grassmannian Signaling in a Broadband Network

A network transmitter in a broadband network, the network transmitter comprising:

• a processor;
• and
• a computer readable storage medium storing programming for execution by the processor, the programming including instructions to:
• determine an equivalent coherence time of a corresponding narrowband network in accordance with a channel coherence time and a coherence bandwidth of the broadband network;
• structure a Grassmannian symbol in accordance with the equivalent coherence time;
• partition the Grassmannian symbol into a number of Grassmannian symbol sections in accordance with the coherence bandwidth;
• and
• transmit, to a network receiver, the Grassmannian symbol sections on subchannels within the coherence bandwidth, wherein each of the Grassmannian symbol sections is transmitted on one of the subchannels within the coherence bandwidth.

A method for communicating in a broadband network, the method comprising:

• determining, by a first network device in the broadband network, a channel coherence time and a coherence bandwidth of the broadband network;
• receiving, by the first network device, Grassmannian symbol sections from a second network device on subchannels within the coherence bandwidth;
• and
• determining, by the first network device, a Grassmannian symbol in accordance with a combination of the Grassmannian symbols sections, wherein the Grassmannian symbol is structured in accordance with the channel coherence time and the coherence bandwidth.

A network receiver in a broadband network, the network receiver comprising:

• a processor;
• and
• a computer readable storage medium storing programming for execution by the processor, the programming including instructions to:
• determine a channel coherence time and a coherence bandwidth of the broadband network;
• receive Grassmannian symbol sections from a network transmitter, wherein each of the Grassmannian symbol sections are received on a different subchannel within the coherence bandwidth;
• and
• determine a Grassmannian symbol in accordance with a concatenation of the Grassmannian symbols sections, wherein the Grassmannian symbol is structured in accordance with the channel coherence time and the coherence bandwidth.