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(v) where N R is the number of receiving antennas and Ai, j,l is the sum of the channel coef cients of all multipath components that arrived in the lth time bin from transmit (v) antenna i to receive antenna j. Z is the decision statistic, and dk = 0 is decided if the decision statistic is Z > 0. Using the techniques described in [1,2,4], the instantaneous output SINR conditioned on all the channel coef cients of all users can be shown to be

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another according to the TFC code At the receiver, after down conversion to base band and low pass ltering by the bandwidth of a sub-band, the signal is sampled at the Nyquist rate The OFDM demodulation is performed using an FFT The effect of fading channel is removed by a one-tap equalizer for each sub-carrier in the frequency domain and a hard decision is implemented to detect the transmitted QPSK symbols After de-mapping into a binary stream and de-interleaving, the signal is sent to the decoder 1229 Improvement to MB-OFDM Since publication of the MB-OFDM proposal, several ideas have been proposed to enhance this system One area that has received much attention is enhancing the frequency spreading techniques used in MB-OFDM Note that MB-OFDM is a UWB system and the transmitted signal bandwidth is much higher than the data rate.

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where IR f p power spectral density of interference signal at receiver input, PT f power spectral density at the transmitter output, transmitter antenna gain towards receiver, GT receiver antenna gain towards transmitter, GR receiver antenna polarisation mismatch, PMR S f receiver selectivity, Lfeeder Tx transmitter antenna feeder loss, Lfeeder Rx receiver antenna feeder loss, Lb f p path loss based on propagation characteristics, f frequency, p time percentage, angle between transmitter antenna maximum radiation azimuth and the receiver antenna, angle between receiver antenna maximum radiation azimuth and the transmitter antenna. Taking into account that PT f = Pout ME f where Pout power level at transmitter output, ME f envelope of modulated signal at transmitter output. Introducing the term isolation, LI p , between the transmitter and receiver, formulated as: LI p = GR PMR GT Lfeeder Tx Lfeeder Rx Lb f p (11.3) (11.2)

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Hence, different frequency spreading techniques can be used to ll the spectrum The processing gain that is achieved from this spreading is used to mitigate the multipath fading and other interferences As mentioned earlier, the current MB-OFDM scheme uses a frequency spreading of factor of 2 by sending the conjugate of the symbol in different subcarriers at low data rates It also uses time repetition of OFDM symbols at some data rates and provides another spreading factor of 2 Further, it relies on band hopping between symbols and strong forward error correction codes with interleaving between subcarriers and subbands to combat fading and exploit frequency diversity While different traditional schemes can be considered to replace the current spreading schemes, the main difference between them lies in the complexity of implementation.

The main reason that the authors of the MB-OFDM scheme have chosen simple repetition in frequency and time over other better performing spreading techniques is complexity Unlike other UWB transmission schemes that rely on explicit frequency spreading [15], the MB-OFDM approach does not require the use of a rake receiver to capture partial or full multipath diversity The implementation of a rake receiver in UWB systems is complex because of the stringent timing requirements imposed by the very short pulses that are typically used in UWB and the potentially relatively large number of paths that need to be captured to guarantee acceptable performance One of the ideas that have been proposed to enhance the frequency spreading characteristics of the MB-OFDM system is the pulsed-OFDM scheme [12, 13] This scheme uses the same spreading technique as the original UWB systems (using low duty cycle pulses) and marries it to OFDM modulation.