Channel estimation for wireless systems without matrix inversion
In various embodiments, techniques are provided to determine channel characteristics of various communication systems such as OFDM systems or systems using a plurality of transmit antennas by using various sets of training symbols that produce zero cross-correlation energy. Channel communication can accordingly be simplified as the zero cross-correlation property allows for channel estimation without a matrix inversion.
1. An apparatus for communicating using MIMO and an orthogonal frequency division multiplexing (OFDM) technique, comprising:
circuitry configured to:
receive a first signal of a first training sequence and a second signal of a second training sequence, the first training sequence being transmitted from first transmit circuitry as first OFDM symbols, the second training sequence being transmitted from second transmit circuitry as second OFDM symbols; and
estimate MIMO channels based on the first received signal of the first training sequence and the second received signal of the second training sequence, wherein
a cross-correlation between the first training sequence and the second training sequence is zero,
the first training sequence includes a plurality of first patterns of training symbols for a plurality of first sub-bands of the first OFDM symbols such that each of the plurality of first patterns of training symbols is allocated to at least two of the plurality of the first sub-bands of the first OFDM symbols, the first training sequence being included in a first burst signal together with first sync symbols and first data symbols, and
the second training sequence includes a plurality of second patterns of training symbols for a plurality of second sub-bands of the second OFDM symbols such that each of the plurality of second patterns of training symbols is allocated to at least two of the plurality of the second sub-bands of the second OFDM symbols, the second training sequence being included in a second burst signal together with second sync symbols and second data symbols.
2. An apparatus for communicating using MIMO and an orthogonal frequency division multiplexing (OFDM) technique, comprising:
circuitry, configured to
receive, via MIMO channels, a first signal of a first training sequence as first OFDM symbols and a second signal of a second training sequence as second OFDM symbols; and
estimate the MIMO channels based on the first received signal of the first training sequence and the second received signal of the second training sequence, wherein
a cross-correlation between the first training sequence and the second training sequence is zero,
the first training sequence includes a plurality of first patterns of training symbols for a plurality of first sub-bands of the first OFDM symbols such that each of the plurality of first patterns of training symbols is allocated to at least two of the plurality of the first sub-bands of the first OFDM symbols, the first training sequence being included in a first burst signal together with first sync symbols and first data symbols, and
the second training sequence includes a plurality of second patterns of training symbols for a plurality of second sub-bands of the second OFDM symbols such that each of the plurality of second patterns of training symbols is allocated to at least two of the plurality of the second sub-bands of the second OFDM symbols, the second training sequence being included in a second burst signal together with second sync symbols and second data symbols.
3. An apparatus for communicating using MIMO and orthogonal frequency division multiplexing (OFDM) technique, comprising:
circuitry configured to arrange a first training sequence and a second training sequence;
first transmit circuitry configured to transmit, as first OFDM symbols, the first training sequence; and
second transmit circuitry configured to transmit, as second OFDM symbols, the second training sequence, wherein
the first training sequence and the second training sequence are transmitted for MIMO channel estimation,
a cross-correlation between the first training sequence and the second training sequence is zero,
the first training sequence includes a plurality of first patterns of training symbols for a plurality of first sub-bands of the first OFDM symbols such that each of the plurality of first patterns of training symbols is allocated to at least two of the plurality of the first sub-bands of the first OFDM symbols, the first training sequence being included in a first burst signal together with first sync symbols and first data symbols, and
the second training sequence includes a plurality of second patterns of training symbols for a plurality of second sub-bands of the second OFDM symbols such that each of the plurality of second patterns of training symbols is allocated to at least two of the plurality of the second sub-bands of the second OFDM symbols, the second training sequence being included in a second burst signal together with second sync symbols and second data symbols.