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. A device for communicating using MIMO and an orthogonal frequency division multiplexing (OFDM) technique, comprising:
circuitry, configured to
receive a propagated signal of a first training sequence and a propagated 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 propagated signal of the first training sequence and the propagated 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, 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.
2. A device for communicating using MIMO and an orthogonal frequency division multiplexing (OFDM) technique, comprising:
a receiver configured to receive a propagated signal of a first training sequence and a propagated signal of a second training sequence, the first training sequence being transmitted from a first transmitter as first OFDM symbols, the second training sequence being transmitted from a second transmitter as second OFDM symbols; and
a channel estimator configured to estimate MIMO channels based on the propagated signal of the first training sequence and the propagated 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, 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.
3. A device 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, 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.
4. A device for communicating using MIMO and orthogonal frequency division multiplexing (OFDM) technique, comprising:
a training sequence generator configured to arrange a first training sequence and a second training sequence;
a first transmitter configured to transmit, as first OFDM symbols, the first training sequence; and
a second transmitter 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, 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.