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Influenced by the Fourth Industrial Revolution, modern society uses various communication devices. Accordingly, much attention has been paid to noise reduction in the data transfer process. This paper proposes a filtering algorithm to remove the additive white Gaussian noise (AWGN) that occurs in the digital image transmission process. The proposed algorithm removes the noise based on pixel matching and composite weight. Pixel matching compares the input pixel value and surrounding pixel pattern to find a pixel with a similar pattern, which is then used in the estimate calculation. The composite weight is intensified according to the difference in the pixel's spatial distance and pixel value to compensate for the loss that occurred in the noise removal process. To evaluate the proposed algorithm, simulations were conducted with existing AWGN removal algorithms and the proposed algorithm was analyzed by comparing peak signal-to-noise ratio and expanded image.