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We investigate power allocation for the base matrix of a spatially coupledsparse regression code (SC-SPARC) for reliable communications over an additivewhite Gaussian noise channel. A conventional SC-SPARC allocates power uniformlyto the non-zero entries of its base matrix. Yet, to achieve the channelcapacity with uniform power allocation, the coupling width and the couplinglength of the base matrix must satisfy regularity conditions and tend toinfinity as the rate approaches the capacity. For a base matrix with a pair offinite and arbitrarily chosen coupling width and coupling length, we propose anovel power allocation policy, termed V-power allocation. V-power allocationputs more power to the outer columns of the base matrix to jumpstart thedecoding process and less power to the inner columns, resembling the shape ofthe letter V. We show that V-power allocation outperforms uniform powerallocation since it ensures successful decoding for a wider range ofsignal-to-noise ratios given a code rate in the limit of large blocklength. Inthe finite blocklength regime, we show by simulations that power allocationsimitating the shape of the letter V improve the error performance of aSC-SPARC.

Power Allocation for the Base Matrix of Spatially Coupled Sparse Regression Codes