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8 (this is an example with five subcarriers) It is clear from this figure that the subcarriers are allowed to have overlap not only with their adjacent subcarrier but also virtually with all of the other subcarriers For those familiar with the CDMA technique utilized in many of today s cellular phones, the following analogy may be useful The construction of an OFDM signal with multiple sinusoidal subcarriers is somewhat similar to the construction of a CDMA signal using orthogonal Walsh codes (Walsh codes are a family of orthogonal codes which are based on square waves rather than sinusoids) The main difference between CDMA and OFDM is that in the case of CDMA the orthogonal Walsh codes are primarily used as a means for multiple access,6 whereas the orthogonal sinusoids in the OFDM coding are primarily used to gain immunity to multipath.

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channel-dependent scheduling decision making at the base station. The latter function is referred to as channel sounding. The demodulation reference signals of a user are transmitted on the fourth symbol of each uplink slot over a bandwidth equal to the one granted to the user. These signals are taken from Zadoff Chu sequences. The allocation for this reference signal is illustrated in Figure 9.8. The demodulation reference signals provide channel information only on the bandwidth at which they are transmitted. This information is not enough for the base station to determine the channel-dependent uplink scheduling. This operation requires channel information on a wide range of frequencies. The wideband channel-sounding reference signals are used to supply the necessary information for the base station. The allocation for these reference signals is illustrated in Figure 9.9. The channel-sounding reference signals are also taken from Zadoff Chu sequences. They typically do not need to transmit as often as the demodulation reference signals. Furthermore, the channel-sounding reference signals may even need to be transmitted by terminals that have not been assigned any uplink resource for data transmission. 9.3.3 Advanced Features

The fact that subcarrier overlaps are allowed enables the spectral efficiency of an OFDM-coded signal to be increased It is easy to see that with no subcarrier overlap the same number of subcarriers (which is related to the amount of data being communicated) would occupy a much wider spectrum This would clearly reduce the spectral efficiency This concept is shown graphically in Figure 19 in a simplified diagram The obvious question that may arise is the potential interference caused by the overlapping of the subcarriers However, due to the inherent orthogonality of the subcarriers of the OFDM signal, the peak of each subcarrier occurs at the null of all other subcarriers, as seen in Figure 18 Under ideal conditions, this would mean that the subcarriers do not interfere with one another Unfortunately, under real-world conditions, various impairments could cause the perfect orthogonality of the subcarriers to be violated.

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