FAST INTEGER SIMPLIFIED SINE-COSINE TYPE VII TRANSFORM OF ORDER 16 FOR VIDEO CODING

A matrix method for constructing integer simplified sine–cosine transforms of type VII of order 16 has been developed based on two transforms of order 8: sine type VII and cosine type II. Two integer one-norm simplified sine-cosine transforms of low computational complexity have been developed, which is 38.6% less compared to the well-known discrete sine transform algorithm of type VII of order 16 with integer approximation. The resulting transforms have a 1–1.5% lower compression ratio with the same quality of restored data, so they can be used for the scheme of separable adaptive transforms for high-speed image and video coding modes. Keywords: discrete cosine transform, discrete sine transform, integer cosine transform, integer sine transform, integer sine-cosine transform, scaled transform, discrete adaptive transforms, factorization, video coding, H.265, VVC (versatile video coding), MTS (multiple transform selection).