Sentence examples for pilot matrices from inspiring English sources

The pilot matrices satisfy ({boldsymbol {Phi }}_{mathrm {u}}{boldsymbol {Phi }}{_{mathrm {u}}^{H}}={boldsymbol {Phi }}_{mathrm {d}}{boldsymbol {Phi }}{_{mathrm {d}}^{H}} ={boldsymbol {I}}_{K}) and τ≥K A is an M×K precoding matrix, which is used for downlink beamforming and updated from the uplink channel estimation; N and N s are M×τ AWGN matrices with i.i.d (mathcal {CN} (0,1)) entries.

A possible pilot matrix that meets these requirements is.

The chosen pilot matrix P d should fulfill two requirements.

The pilot matrix, S, exhibits orthogonal property S H S=NI K.

where ϕ i is N × M pilot matrix and K = M N for simplicity.

where the properties of the semi-unitary pilot matrix P(C) have been exploited.

During the training period, the transmitter sends (sqrt {PT/M}mathbf {S}), where S is the T×M pilot matrix.

Thus, the structure of the pilot matrix for CIA and OFDM, the latter being described in Section 5.1, is different.

The pilot matrix P r is a cyclic matrix, having the r times oversampled OCI pilot sequence p r = r p ⊗ r as its first column.

Since IEEE 802.11p uses four pilots for each OFDM symbol, the pilot matrix is generated by replicating (1) to obtain a 2×4 matrix.

In a general case, the pilot matrix C ̲ p (respectively, the pilot total energy) has to be taken into account in (12) and (13) respectively.