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At the Rx side, similar operations in the inverted order are implemented including one more step: polyphase filtering, FFT, multitap channel equalization per sub-carrier with an equalizer of length L eq and the OQAM demodulation.
Figure 9 depicts the simulation results for an ITU PedB channel when an equalizer of length and 15 spreading codes are employed.
In order to compensate and reduce the inter-symbol interference (ISI) caused by the multipath propagation, a linear mean square error (MSE) equalizer of length 20 was used.
We now consider the channel h2 = [-0.21, - 0.36,0.72,0.5,0.21], and we again design the CSF to sparsen the channel to μ = 2 taps with a CSF and equalizer of length L w = 25.
Also, we transmit uncoded BPSK symbols, use ten iterations in the BP detector, let μ = 2 non-zero taps, and use a CSF (and for comparison, an equalizer) of length L w = 32.
To obtain the detection probabilities presented in Figure 9, the modulated symbols by 8-PAM or 8-QAM modulations are transmitted in a quasi-static Rayleigh fading multipath channel with path number L path=4, then the received symbols are treated by the linear MSE equalizer of length 20.
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Certain timing offsets yield channels relatively easy to equalize with baud-spaced equalizers and, consequently, the MSE performance of the MMSE equalizer of a given length is limited by the choice of timing phase offset.
Figure 17 shows the performance of the BPSK HNN MLSE equalizer in a sparse channel of length, compared to its performance in dense channels of length to.
Figure 18 shows the performance of the 16-QAM HNN MLSE equalizer in a sparse channel of length, compared to its performance in dense channels of length to.
Furthermore, the effect of the equalizer length on the characteristics of the equalized signal is discussed.
The "simulated" or "true" post equalization and despreading SINR is given by Figure 9 Exemplary model fitting for an equalizer length of 30 and ITU PedB channels, 15 spreading codes employed.
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