Image Coding Algorithm Based on All Phase Walsh Biorthogonal Transform

This paper proposes new concepts of the all phase Walsh biorthogonal transform (APWBT) and the dual biorthogonal basis vectors based on the Walsh-Hadamard transform. The matrices of APWBT are deduced. They can be used in image compression instead of the discrete cosine transform (DCT). Compared with DCT in JPEG image compression algorithm, the PSNRs of the reconstructed images using the transform are the same as DCT's at the same bit rates, but the advantage is that the quantization is very simple. The transform coefficients can be quantized uniformly. Therefore the computational complexity is reduced and it is much easier to realize with the hardware.