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Quadiphase [8] code could also reduce poor fall-off of the radiated spectrum and mismatch loss in the receiver pulse compression filter of biphase codes.
Here, f T (t) and f R (t) are, respectively, the transmit and the receiver pulse shapes, f T ( t ) = 1 T t ∈ [ 0, T + Δ ] 0 elsewhere f R ( t ) = 1 T t ∈ [ Δ, T + Δ ] 0 elsewhere.
Because of the receiver pulse shape filtering, this assumption is not exactly true, but it is used to provide us simpler diagonalized LMMSE estimator model, which reduces the channel estimation complexity.
The performance of the receiver could be improved with more advanced methods taking the correlation into account, like the universal basis based decomposition of the receiver pulse shape filter correlation, as was discussed in [20].
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This way we use all elements for the second receiver which receives pulse numbers from 65 to 123.
Provided the transmit pulse optimized by the orthogonal method, naive receiver refers to the receive pulse which adopts a symmetric shape of the transmit pulse generated by Algorithm 1, i.e., γ(t)=g(t).
Therefore, the main difference between our 2D CS MIMO radar signal model and 2D sparse model in [21 24] is that we consider the measurement matrices in our model in which these measurement matrices can be applied on receivers and received pulses, separately.
Additional optical and electrical parameters including (a) maximum/minimum optical intensity at the transmitter and optical irradiance at the receiver, (b) pulse rise/fall time, (c) pulse jitter, (d) minimum/maximum pulse duration, and (e) maximum allowable transmission rate deviations may be found in [11, 12] for all speeds ranging from SIR to Giga-IR.
If an unauthorized receiver does not know the interval information of pulse sequence, it is impossible to judge whether a received pulse was delayed.
As noted for case 4, the measurement matrix is equal for all received pulses and receivers, i.e., ( boldsymbol{T}={boldsymbol{I}}_{M_r}otimes boldsymbol{varphi} ).
The model for the MRC-OFDM receiver with pulse blanking is depicted in Fig. 2. The received baseband signal from the vth antenna can be represented as {r^{v}}(t) = x t) * {h^{v}}(t) + {n^{v}}(t) + {i^{v}}(t),v = 1,2,ldots,N (5) Fig. 2 Block diagram of the MRC-OFDM receiver with pulse blanking.
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