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After one-to-one mapping between each data symbol and a modulated sequence, the output signal on the i th EL can be represented by E j = z O 0 ( j ), z O 1 ( j ),..., z O Ψ - 1 ( j ).
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Accordingly, each data symbol is spread by sub-nanosecond pulses.
Each data symbol vector is precoded by a DFT represented by a matrix with elements (2).
Then, we prove the condition to have orthogonality between the data symbols of each sub-channel, i.e., no ISI.
No ISI will be present between the L data symbols in each sub-channel block, when the prototype pulses are matched and (27) is satisfied.
The usual approach for acquisition uses some correlation techniques (utilizing the property of correlation between repeated symbol blocks[2], correlation between data symbols and the redundant symbol copies within cyclic prefix[3], or correlation between first and second half of the training symbol block[4]) which require no knowledge of the channel state information.
The ZP-OFDM employs the zero padding between OFDM data symbols as the GI which enables the reduction of transmission power.
For an optimized family of codes, we will show that it is possible to increase a class bit rate beyond the nominal rate without decreasing the PG of the desired user or allowing any time delay between the data symbols.
We consider three resource allocation problems: power allocation between training and data symbols, time/bandwidth allocation to the relay, and power allocation between the source and relay under a total power constraint.
Hence, the relay operation does not need to distinguish between data symbols and pilot symbols.
Estimation of the channel coefficients is usually achieved by using training symbols, called pilots inserted between data symbols.
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