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Abstract-We propose a novel concept of symbol relocation for the improvement of received signal power in diagonal precoder. In the past, many precoding algorithm have been proposed, they all suffer either in terms of low bit rate, high complexity and less received signal power. The proposed symbol relocation concept in diagonal precoder gives high data rate with high received signal power. Complexity of the diagonal precoder has been checked using digital signal processor starter kit -6713, a 32 bit floating point digital signal processor. Our results shows that there is improvement in received signal power by 20 dB while maintaining the same bit rate with low complexity of the system. Keywords-VDSL (Very high speed digital subscriber line), Precoder, PSD (Power spectral density), DSL (Digital subscriber line). I. INTRODUCTIONDigital subscriber line is a very old broadband communication technology, which use the potential of exiting twisted pair telephone line. It provide services such as high speed internet access, voice and multimedia communication over conventional telephone line which is already installed for residential and official use to home and in offices. In the present scenario when all the devices are going to connect through internet, there is requirement of high band width. To full fill the requirement of high speed transmission, DSL technology shifted from Asymmetric digital subscriber line (ADSL), Very high speed digital subscriber line (VDSL), VDSL-2 to Fiber to the transmission point (FTTx) and Giga bit fast transmission (G -Fast) with the data rate up to 100 Mbps.VDSL-2 is advance form of VDSL and operate at frequency range of 30 Mhz. Advance version of xDSL is G-fast, which work at the frequency range of 100 Mhz. At higher frequencies, the problem due to electromagnetic coupling between twisted pair wire will also increase. One of the solution to minimize electromagnetic coupling is to decrease the length of wire from 1kilometer (as in ADSL) to 400 meters. Develop new crosstalk minimization algorithm for the improvement in data rate. Crosstalk is classified in two types, Near end crosstalk (NEXT) and Far end crosstalk (FEXT). Effect of crosstalk on wire pair is shown in Fig. 1.

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