Method and apparatus for optimization of wireless multipoint electromagnetic communication networks

A method for optimizing a wireless electromagnetic communications network, comprising:

• organizing a wireless electromagnetic communications network, comprising
• a set of nodes, said set of nodes further comprising,
• at least a first subset wherein each node is MIMO-capable, comprising:
• a spatially diverse antennae array of M antennae, where M≧two,
• a transceiver for each antenna in said spatially diverse antennae array,
• means for digital signal processing to convert analog radio signals into digital signals and digital signals into analog radio signals,
• means for coding and decoding data, symbols, and control information into and from digital signals,
• diversity capability means for transmission and reception of said analog radio signals,
• and,
• means for input and output from and to a non-radio interface for digital signals;
• linking said set of nodes according to design rules that create and support a condition of network reciprocity by meeting the first of the following criteria, and at least two out of five of the remaining following criteria:
• subdividing said set of nodes into two or more proper subsets of nodes, with a first proper subset being a transmit uplink/receive downlink subset, and a second proper subset being a transmit downlink/receive uplink subset;
• allowing each node in said set of nodes to simultaneously belong to up to as many transmitting uplink or receiving uplink subsets as it has diversity capability means;
• allowing each node in the transmit uplink/receive downlink subset to simultaneously link to up to as many nodes with which it will hold time and frequency coincident communications in its field of view, as it has diversity capability means;
• allowing each node in the transmit downlink/receive uplink subset to simultaneously link to up to as many nodes with which it will hold time and frequency coincident communications in its field of view, as it has diversity capability means;
• allowing each member of the transmit uplink/receive downlink subset to engage in simultaneous time and frequency coincident communications with any other member of that transmit uplink/receive downlink subset only if both that other member also belongs to a different proper subset and the communication is between different proper subsets;
• and,
• allowing each member of the transmit downlink/receive uplink subset to engage in simultaneous time and frequency coincident communications with any other member of that transmit downlink/receive uplink subset only if both that other member also belongs to a different proper subset and the communication is between different proper subsets;
• transmitting, in said wireless electromagnetic communications network, independent information from each node belonging to a first proper subset, to one or more receiving nodes belonging to a second proper subset that are viewable from the transmitting node;
• processing independently, in said wireless electromagnetic communications network, at each receiving node belonging to said second proper subset, information transmitted from one or more nodes belonging to said first proper subset;
• and,
• dynamically adapting the diversity capability means and said proper subsets to optimize said network.

A method for optimizing a wireless electromagnetic communications network, comprising:

• organizing a wireless electromagnetic communications network, comprising
• a set of nodes, said set further comprising,
• at least a first subset of MIMO-capable nodes, each MIMO-capable node comprising:
• a spatially diverse antennae array of M antennae, where M≧two, said antennae array being polarization diverse, and circularly symmetric, and providing 1-to-M RF feeds;
• a transceiver for each antenna in said array, said transceiver further comprising
• a Butler Mode Forming element, providing spatial signature separation with a FFT-LS algorithm, reciprocally forming a transmission with shared receiver feeds, such that the number of modes out equals the numbers of antennae, establishing such as an ordered set with decreasing energy, further comprising:
• a dual-polarization element for splitting the modes into positive and negative polarities with opposite and orthogonal polarizations, that can work with circular polarizations, and
• a dual-polarized link CODEC;
• a transmission/reception switch comprising,
• a vector OFDM receiver element;
• a vector OFDM transmitter element;
• a LNA bank for a receive signal, said LNA Bank also instantiating low noise characteristics for a transmit signal;
• a PA bank for the transmit signal that receives the low noise characteristics for said transmit signal from said LNA bank;
• an AGC for said LNA bank and PA bank;
• a controller element for said transmission/reception switch enabling baseband link distribution of the energy over the multiple RF feeds on each channel to steer up to Kfeed beams and nulls independently on each FDMA channel;
• a Frequency Translator;
• a timing synchronization element controlling said controller element;
• further comprising a system clock, a universal Time signal element;
• GPS;
• a multimode power management element and algorithm;
• and,
• a LOs element;
• said vector OFDM receiver element comprising
• an ADC bank for downconversion of received RF signals into digital signals;
• a MT DEMOD element for multitone demodulation, separating the received signal into distinct tones and splitting them into 1 through Kfeed FDMA channels, said separated tones in aggregate forming the entire baseband for the transmission, said MT DEMOD element further comprising
• a Comb element with a multiple of 2 filter capable of operating on a 128-bit sample;
• and,
• an FFT element with a 1,024 real-IF function;
• a Mapping element for mapping the demodulated multitone signals into a 426 active receive bins, wherein
• each bin covers a bandwidth of 5.75 MHz;
• each bin has an inner passband of 4.26 MHz for a content envelope;
• each bin has an external buffer, up and down, of 745 kHz;
• each bin has 13 channels, CH0 through CH12, each channel having 320 kHz and 32 tones, T0 through T31, each tone being 10 kHz, with the inner 30 tones being used information bearing and T0 and T31 being reserved;
• each signal being 100 μs, with 12.5 μs at each end thereof at the front and rear end thereof forming respectively a cyclic prefix and cyclic suffix buffer to punctuate successive signals;
• a MUX element for timing modification capable of element-wise multiplication across the signal, which halves the number of bins and tones but repeats the signal for high-quality needs;
• a link CODEC, which separates each FDMA channel into 1 through M links, further comprising
• a SOVA bit recovery element;
• an error coding element;
• an error detection element;
• an ITI remove element;
• a tone equalization element;
• and,
• a package fragment retransmission element;
• a multilink diversity combining element, using a multilink Rx weight adaptation algorithm for Rx signal weights W(k) to adapt transmission gains G(k) for each channel k,
• an equalization algorithm, taking the signal from said multilink diversity combining element and controlling a delay removal element;
• said delay removal element separating signal content from imposed pseudodelay and experienced environmental signal delay, and passing the content-bearing signal to a symbol-decoding element;
• said symbol-decoding element for interpretation of the symbols embedded in the signal, further comprising:
• an element for delay gating;
• a QAM element;
• and
• a PSK element;
• said vector OFDM transmitter element comprising:
• a DAC bank for conversion of digital signals into RF signals for transmission;
• a MT MOD element for multitone modulation, combining and joining the signal to be transmitted from 1 through Kfeed FDMA channels, said separated tones in aggregate forming the entire baseband for the transmission, said MT MOD element further comprising
• a Comb element with a multiple of 2 filter capable of operating on a 128-bit sample;
• and,
• an IFFT element with a 1,024 real-IF function;
• a Mapping element for mapping the modulated multitone signals from 426 active transmit bins, wherein
• each bin covers a bandwidth of 5.75 MHz;
• each bin has an inner passband of 4.26 MHz for a content envelope;
• each bin has an external buffer, up and down, of 745 kHz;
• each bin has 13 channels, CH0 through CH12, each channel having 320 kHz and 32 tones, T0 through T31, each tone being 10 kHz, with the inner 30 tones being used information bearing and T0 and T31 being reserved;
• each signal being 100 μs, with 12.5 μs at each end thereof at the front and rear end thereof forming respectively a cyclic prefix and cyclic suffix buffer to punctuate successive signals;
• a MUX element for timing modification capable of element-wise multiplication across the signal, which halves the number of bins and tones but repeats the signal for high-quality needs;
• a symbol-coding element for embedding the symbols to be interpreted by the receiver in the signal, further comprising:
• an element for delay gating;
• a QAM element;
• and
• a PSK element;
• a link CODEC, which aggregates each FDMA channel from 1 through M links, further comprising
• a SOVA bit recovery element;
• an error coding element;
• an error detection element;
• an ITI remove element;
• a tone equalization element;
• and,
• a package fragment retransmission element;
• a multilink diversity distribution element, using a multilink Tx weight adaptation algorithm for Tx signal weights to adapt transmission gains G(k) for each channel k, such that g(q;k)∝w*(q;k);
• a TCM codec;
• a pilot symbol CODEC element that integrates with said FFT-LS algorithm a link separation, a pilot and data signal elements sorting, a link detection, multilink combination, and equalizer weight calculation operations;
• means for diversity transmission and reception,
• and,
• means for input and output from and to a non-radio interface;
• linking said set of nodes according to design rules that create and support a condition of network reciprocity by meeting the first of the following criteria, and at least two out of five of the remaining following criteria:
• subdividing said set of nodes into two or more proper subsets of nodes, with a first proper subset being a transmit uplink/receive downlink subset, and a second proper subset being a transmit downlink/receive uplink subset;
• allowing each node in said set of nodes to simultaneously belong to only as many transmitting uplink or receiving uplink subsets as it has diversity capability means;
• allowing each node in the transmit uplink/receive downlink subset to simultaneously link to only as many nodes with which it will hold time and frequency coincident communications in its field of view, as it has diversity capability means;
• allowing each node in the transmit downlink/receive uplink subset to simultaneously link to only as many nodes with which it will hold time and frequency coincident communications in its field of view, as it has diversity capability means;
• allowing each member of the transmit uplink/receive downlink subset to engage in simultaneous, time and frequency coincident communications with any other member of that transmit uplink/receive downlink subset only if both that other member also belongs to a different proper subset and the communication is between different proper subsets;
• and,
• allowing each member of the transmit downlink/receive uplink subset to engage in simultaneous, time and frequency coincident communications with any other member of that transmit downlink/receive uplink subset only if both that other member also belongs to a different proper subset and the communication is between different proper subsets;
• transmitting, in said wireless electromagnetic communications network, independent information from each node belonging to a first proper subset, to one or more receiving nodes belonging to a second proper subset that are viewable from the transmitting node;
• processing independently, in said wireless electromagnetic communications network, at each receiving node belonging to said second proper subset, information transmitted from one or more nodes belonging to said first proper subset;
• and,
• designing the network such that substantially reciprocal symmetry exists for the uplink and downlink channels by,
• if the received interference is spatially white in both link directions, setting g2(q)∝w2*(q) and g1(q)∝w1*(q) at both ends of the link, where {g2(q), w1(q)} are the linear transmit and receive weights used in the downlink;
• but if the received interference is not spatially white in both link directions, constraining {g1(q)} and {g2(q)} to satisfy:
• ∑
• q
• =
• 1
• Q
• 21
• ⁢
• ⁢
• g
• 1
• T
• ⁡
• (
• q
• )
• ⁢
• R
• i
• 1
• ⁢
• i
• 1
• ⁡
• (
• n
• 1
• ⁡
• (
• q
• )
• )
• ⁢
• g
• 1
• *
• ⁡
• (
• q
• )
• =
• ∑
• n
• =
• 1
• N
• 1
• ⁢
• ⁢
• Tr
• ⁢
• {
• R
• i
• 1
• ⁢
• i
• 1
• ⁡
• (
• n
• )
• }
• =
• M
• 1
• ⁢
• R
• 1
• ∑
• q
• =
• 1
• Q
• 12
• ⁢
• ⁢
• g
• 2
• T
• ⁡
• (
• q
• )
• ⁢
• R
• i
• 2
• ⁢
• i
• 2
• ⁡
• (
• n
• 2
• ⁡
• (
• q
• )
• )
• ⁢
• g
• 2
• *
• ⁡
• (
• q
• )
• =
• ∑
• n
• =
• 1
• N
• 2
• ⁢
• ⁢
• Tr
• ⁢
• {
• R
• i
• 2
• ⁢
• i
• 2
• ⁡
• (
• n
• )
• }
• =
• M
• 2
• ⁢
• R
• 2
• ;
• using any standard communications protocol, including TDD, FDD, simplex,
• and,
• optimizing the network by dynamically adapting the diversity capability means between nodes of said transmitting and receiving subsets.

A wireless electromagnetic communications network, comprising:

• a set of nodes, said set further comprising,
• at least a first subset wherein each node is MIMO-capable, comprising:
• a spatially diverse antennae array of M antennae, where M≧one,
• a transceiver for each antenna in said array,
• means for digital signal processing,
• means for coding and decoding data and symbols,
• means for diversity transmission and reception,
• and,
• means for input and output from and to a non-radio interface;
• said set of nodes further comprising one or more proper subsets of nodes, being at least one transmitting and at least one receiving subset, with said transmitting and receiving subsets having a topological arrangement whereby:
• each node in a transmitting subset has no more nodes with which it will simultaneously communicate in its field of view, than it has number of antennae;
• each node in a receiving subset has no more nodes with which it will simultaneously communicate in its field of view, than it can steer independent nulls to;
• and,
• each member of a non-proper subset cannot communicate with any other member of its non-proper subset;
• means for transmitting independent information from each node in a first non-proper subset to one or more receiving nodes belonging to a second non-proper subset that are viewable from the transmitting node;
• means for processing independently information transmitted to a receiving node in a second non-proper subset from one or more nodes in a first non-proper subset is independently by the receiving node;
• and,
• means for optimizing the network by dynamically adapting the means for diversity transmission and reception between nodes of said transmitting and receiving subsets.

A method for optimizing a wireless electromagnetic communications network, comprising:

• organizing a wireless electromagnetic communications network comprising
• a set of nodes, said set of nodes further comprising,
• at least a first subset wherein each node is MIMO-capable, comprising:
• an antennae array of M antennae, where M≧one,
• a transceiver for each antenna in said spatially diverse antennae array,
• means for digital signal processing to convert analog radio signals into digital signals and digital signals into analog radio signals,
• means for coding and decoding data, symbols, and control information into and from digital signals,
• diversity capability means for transmission and reception of said analog radio signals;
• and,
• means for input and output from and to a non-radio interface for digital signals;
• linking said set of nodes according to design rules that create and support a condition of network reciprocity by meeting the first of the following criteria, and at least two out of five of the remaining following criteria:
• subdividing said set of nodes into two or more proper subsets of nodes, with a first proper subset being a transmit uplink/receive downlink subset, and a second proper subset being a transmit downlink/receive uplink subset;
• allowing each node in said set of nodes to simultaneously belong to up to as many transmitting uplink or receiving uplink subsets as it has diversity capability means;
• allowing each node in the transmit uplink/receive downlink subset to simultaneously link to up to as many nodes with which it will hold time and frequency coincident communications in its field of view, as it has diversity capability means;
• allowing each node in the transmit downlink/receive uplink subset to simultaneously link to up to as many nodes with which it will hold time and frequency coincident communications in its field of view, as it has diversity capability means;
• allowing each member of the transmit uplink/receive downlink subset to engage in simultaneous time and frequency coincident communications with any other member of that transmit uplink/receive downlink subset only if both that other member also belongs to a different proper subset and the communication is between different proper subsets;
• and,
• allowing each member of a transmit downlink/receive uplink subset to engage in simultaneous time and frequency coincident communications with any other member of that transmit downlink/receive uplink subset only if both that other member also belongs to a different proper subset and the communication is between different proper subsets;
• transmitting, in said wireless electromagnetic communications network, independent information from each node belonging to a first proper subset, to one or more receiving nodes belonging to a second proper subset that are viewable from the transmitting node;
• processing independently, in said wireless electromagnetic communications network, at each receiving node belonging to said second proper subset, information transmitted from one or more nodes belonging to said first proper subset;
• optimizing at the local level for each node for the channel capacity D21 according to
• D21=max β such that
• β
• ≤
• ∑
• q
• ∈
• U
• ⁡
• (
• m
• )
• ⁢
• ⁢
• ∑
• k
• ⁢
• ⁢
• log
• ⁡
• (
• 1
• +
• γ
• ⁡
• (
• k
• ,
• q
• )
• )
• ,
• γ(k,q)≧0,
• ∑
• m
• ⁢
• ⁢
• R
• 1
• ⁢
• ⁢
• (
• m
• )
• ≤
• R
• ,
• ;
• π1(k,q)≦0,
• ∑
• q
• ∈
• U
• ⁡
• (
• m
• )
• ⁢
• ⁢
• ∑
• k
• ⁢
• ⁢
• π
• 1
• ⁡
• (
• k
• ,
• q
• )
• ≤
• R
• 1
• ⁡
• (
• m
• )
• solving first the reverse link power control problem;
• then treating the forward link problem in an identical fashion, substituting the subscripts 2 for 1 in said equation;
• and,
• dynamically adapting the diversity capability means and said proper subsets to optimize said network.

A wireless electromagnetic communications network, comprising:

• a set of nodes, said set further comprising,
• at least a first subset wherein each node is MIMO-capable, comprising:
• a spatially diverse antennae array of M antennae, where M≧one,
• a transceiver for each antenna in said array,
• means for digital signal processing,
• means for coding and decoding data and symbols,
• means for diversity transmission and reception,
• pilot symbol coding & decoding element timing synchronization element
• and,
• means for input and output from and to a non-radio interface;
• said set of nodes further comprising two or more proper subsets of nodes, there being at least one transmitting and at least one receiving subset, with said transmitting and receiving subsets subset having a diversity arrangement whereby:
• each node in a transmitting subset has no more nodes with which it will simultaneously communicate in its field of view, than it has number of antennae;
• each node in a receiving subset has no more nodes with which it will simultaneously communicate in its field of view, than it can steer independent nulls to;
• and,
• each member of a non-proper subset cannot communicate with any other member of its non-proper subset over identical diversity channels;
• a LEGO adaptation element and algorithm;
• a network controller element and algorithm;
• whereby each node in a first non-proper subset transmits independent information to one or more receiving nodes belonging to a second non-proper subset that are viewable from the transmitting node;
• each receiving node in said second non-proper subset processes independently information transmitted to a from one or more nodes in a first non-proper subset is independently by the receiving node;
• each node uses means to minimize SINR between nodes transmitting and receiving information;
• the network is designed such that substantially reciprocal symmetry exists for the uplink and downlink channels by,
• if the received interference is spatially white in both link directions, setting g2(q)∝w2*(q) and g1(q)∝w1*(q) at both ends of the link, where g2(q), w1(q)} are the linear transmit and receive weights used in the downlink;
• but if the received interference is not spatially white in both link directions, constraining {g1(q)} and {g2(q)} to satisfy:
• ∑
• q
• =
• 1
• Q
• 21
• ⁢
• ⁢
• g
• 1
• T
• ⁡
• (
• q
• )
• ⁢
• R
• i
• 1
• ⁢
• i
• 1
• ⁡
• (
• n
• 1
• ⁡
• (
• q
• )
• )
• ⁢
• g
• 1
• *
• ⁡
• (
• q
• )
• =
• ∑
• n
• =
• 1
• N
• 1
• ⁢
• ⁢
• Tr
• ⁢
• {
• R
• i
• 1
• ⁢
• i
• 1
• ⁡
• (
• n
• )
• }
• =
• M
• 1
• ⁢
• R
• 1
• ∑
• q
• =
• 1
• Q
• 12
• ⁢
• ⁢
• g
• 2
• T
• ⁡
• (
• q
• )
• ⁢
• R
• i
• 2
• ⁢
• i
• 2
• ⁡
• (
• n
• 2
• ⁡
• (
• q
• )
• )
• ⁢
• g
• 2
• *
• ⁡
• (
• q
• )
• =
• ∑
• n
• =
• 1
• N
• 2
• ⁢
• ⁢
• Tr
• ⁢
• {
• R
• i
• 2
• ⁢
• i
• 2
• ⁡
• (
• n
• )
• }
• =
• M
• 2
• ⁢
• R
• 2
• ;
• the network uses any standard communications protocol;
• and,
• the network is optimized by dynamically adapting the means for diversity transmission and reception between nodes of said transmitting and receiving subsets.

A wireless electromagnetic communications network, comprising:

• a set of nodes, said set further comprising:
• at least a first subset of MIMO-capable nodes, each MIMO-capable node comprising:
• a spatially diverse antennae array of M antennae, where M≧two, said antennae array being polarization diverse, and circularly symmetric, and providing 1-to-M RF feeds;
• a transceiver for each antenna in said array, said transceiver further comprising:
• a Butler Mode Forming element, providing spatial signature separation with a FFT-LS algorithm, reciprocally forming a transmission with shared receiver feeds, such that the number of modes out equals the numbers of antennae, establishing such as an ordered set with decreasing energy, further comprising:
• a dual-polarization element for splitting the modes into positive and negative polarities with opposite and orthogonal polarizations, that can work with circular polarizations;
• and,
• a dual-polarized link CODEC;
• a transmission/reception switch comprising:
• a vector OFDM receiver element;
• a vector OFDM transmitter element;
• a LNA bank for a receive signal, said LNA Bank also instantiating low noise characteristics for a transmit signal;
• a PA bank for the transmit signal that receives the low noise characteristics for said transmit signal from said LNA bank;
• an AGC for said LNA bank and PA bank;
• a controller element for said transmission/reception switch enabling baseband link distribution of the energy over the multiple RF feeds on each channel to steer up to Kfeed beams and nulls independently on each FDMA channel;
• a Frequency Translator;
• a timing synchronization element controlling said controller element;
• further comprising a system clock,
• a universal Time signal element;
• GPS;
• a multimode power management element and algorithm;
• and,
• a LOs element;
• said vector OFDM receiver element comprising:
• an ADC bank for downconversion of received
• RF signals into digital signals;
• a MT DEMOD element for multitone demodulation, separating the received signal into distinct tones and splitting them into 1 through Kfeed FDMA channels, said separated tones in aggregate forming the entire baseband for the transmission, said MT DEMOD element further comprising:
• a Comb element with a multiple of 2 filter capable of operating on a 128-bit sample;
• and,
• an FFT element with a 1,024 real-IF function;
• a Mapping element for mapping the demodulated multitone signals into a 426 active receive bins, wherein
• each bin covers a bandwidth of 5.75 MHz;
• each bin has an inner passband of 4.26 MHz for a content envelope;
• each bin has an external buffer, up and down, of 745 kHz;
• each bin has 13 channels, CH0 through CH12, each channel having 320 kHz and 32 tones, T0 through T31, each tone being 10 kHz, with the inner 30 tones being used information bearing and T0 and T31 being reserved;
• and,
• each signal being 100 μs, with 12.5 μs at each end thereof at the front and rear end thereof forming respectively a cyclic prefix and cyclic suffix buffer to punctuate successive signals;
• a MUX element for timing modification capable of element-wise multiplication across the signal, which halves the number of bins and tones but repeats the signal for high-quality needs;
• a link CODEC, which separates each FDMA channel into 1 through M links, further comprising:
• a SOVA bit recovery element;
• an error coding element;
• an error detection element;
• an ITI remove element;
• a tone equalization element;
• and,
• a package fragment retransmission element;
• a multilink diversity combining element, using a multilink Rx weight adaptation algorithm for Rx signal weights W(k) to adapt transmission gains G(k) for each channel k;
• an equalization algorithm, taking the signal from said multilink diversity combining element and controlling a delay removal element;
• said delay removal element separating signal content from imposed pseudodelay and experienced environmental signal delay, and passing the content-bearing signal to a symbol-decoding element;
• said symbol-decoding element for interpretation of the symbols embedded in the signal, further comprising:
• an element for delay gating;
• a QAM element;
• and
• a PSK element;
• said vector OFDM transmitter element comprising:
• a DAC bank for conversion of digital signals into
• RF signals for transmission;
• a MT MOD element for multitone modulation, combining and joining the signal to be
• transmitted from 1 through Kfeed FDMA channels, said separated tones in aggregate forming the entire baseband for the transmission;
• said MT MOD element further comprising
• a Comb element with a multiple of 2 filter capable of operating on a 128-bit sample;
• and,
• an IFFT element with a 1,024 real-IF function;
• a Mapping element for mapping the modulated multitone signals from 426 active transmit bins, wherein
• each bin covers a bandwidth of 5.75 MHz;
• each bin has an inner passband of 4.26 MHz for a content envelope;
• each bin has an external buffer, up and down, of 745 kHz;
• each bin has 13 channels, CH0 through CH12, each channel having 320 kHz and 32 tones, T0 through T31, each tone being 10 kHz, with the inner 30 tones being used information bearing and T0 and T31 being reserved;
• each signal being −100 μs, with 12.5 μs at each end thereof at the front and rear end thereof forming respectively a cyclic prefix and cyclic suffix buffer to punctuate successive signals;
• a MUX element for timing modification capable of element-wise multiplication across the signal, which halves the number of bins and tones but repeats the signal for high-quality needs;
• a symbol-coding element for embedding the symbols to be interpreted by the receiver in the signal, further comprising:
• an element for delay gating;
• a QAM element;
• and
• a PSK element;
• a link CODEC, which aggregates each FDMA channel from 1 through M links, further comprising:
• a SOVA bit recovery element;
• an error coding element;
• an error detection element;
• an ITI remove element;
• a tone equalization element;
• and,
• a package fragment retransmission element;
• a multilink diversity distribution element, using a multilink Tx weight adaptation algorithm for Tx signal weights to adapt transmission gains G(k) for each channel k, such that g(q;k) ∝w*(q;k);
• a TCM codec;
• a pilot symbol CODEC element that integrates with said FFT-LS algorithm a link separation, a pilot and data signal elements sorting, a link detection, multilink combination, and equalizer weight calculation operations;
• means for diversity transmission and reception,
• and,
• means for input and output from and to a non-radio interface;
• said set of nodes being linked according to design rules that create and support a condition of network reciprocity by meeting the first of the following criteria, and at least two out of five of the remaining following criteria:
• subdividing said set of nodes into two or more proper subsets of nodes, with a first proper subset being a transmit uplink/receive downlink subset, and a second proper subset being a transmit downlink/receive uplink subset;
• allowing each node in said set of nodes to simultaneously belong to only as many transmitting uplink or receiving uplink subsets as it has diversity capability means;
• allowing each node in the transmit uplink/receive downlink subset to simultaneously link to only as many nodes with which it will hold time and frequency coincident communications in its field of view, as it has diversity capability means;
• allowing each node in the transmit downlink/receive uplink subset to simultaneously link to only as many nodes with which it will hold time and frequency coincident communications in its field of view, as it has diversity capability means;
• allowing each member of the transmit uplink/receive downlink subset to engage in simultaneous, time and frequency coincident communications with any other member of that transmit uplink/receive downlink subset only if both that other member also belongs to a different proper subset and the communication is between different proper subsets;
• and,
• allowing each member of the transmit downlink/receive uplink subset to engage in simultaneous, time and frequency coincident communications with any other member of that transmit downlink/receive uplink subset only if both that other member also belongs to a different proper subset and the communication is between different proper subsets;
• means for transmitting, in said wireless electromagnetic communications network, independent information from each node belonging to a first proper subset, to one or more receiving nodes belonging to a second proper subset that are viewable from the transmitting node;
• means for processing independently, in said wireless electromagnetic communications network, at each receiving node belonging to said second proper subset, information transmitted from one or more nodes belonging to said first proper subset;
• and,
• means for deploying said set of nodes such that substantially reciprocal symmetry exists for the uplink and downlink channels by,
• if the received interference is spatially white in both link directions, setting g2(q)∝w2*(q) and g1(q)∝w1*(q) at both ends of the link, where {g2(q), w1(q)} are the linear transmit and receive weights used in the downlink;
• but if the received interference is not spatially white in both link directions, constraining {g1(q)} and {g2(q)} to satisfy:
• ∑
• q
• =
• 1
• Q
• 21
• ⁢
• ⁢
• g
• 1
• T
• ⁡
• (
• q
• )
• ⁢
• R
• i
• 1
• ⁢
• i
• 1
• ⁡
• (
• n
• 1
• ⁡
• (
• q
• )
• )
• ⁢
• g
• 1
• *
• ⁡
• (
• q
• )
• =
• ∑
• n
• =
• 1
• N
• 1
• ⁢
• ⁢
• Tr
• ⁢
• {
• R
• i
• 1
• ⁢
• i
• 1
• ⁡
• (
• n
• )
• }
• =
• M
• 1
• ⁢
• R
• 1
• ∑
• q
• =
• 1
• Q
• 12
• ⁢
• ⁢
• g
• 2
• T
• ⁡
• (
• q
• )
• ⁢
• R
• i
• 2
• ⁢
• i
• 2
• ⁡
• (
• n
• 2
• ⁡
• (
• q
• )
• )
• ⁢
• g
• 2
• *
• ⁡
• (
• q
• )
• =
• ∑
• n
• =
• 1
• N
• 2
• ⁢
• ⁢
• Tr
• ⁢
• {
• R
• i
• 2
• ⁢
• i
• 2
• ⁡
• (
• n
• )
• }
• =
• M
• 2
• ⁢
• R
• 2
• ;
• using any standard communications protocol, including TDD, FDD, simplex,
• and,
• means for optimizing the network by dynamically adapting the diversity capability means between nodes of said transmitting and receiving subsets.