Integer multichannel transform
Jian–Jiun Ding, Po-Hong Wu · 2013
In this paper, we develop an algorithm that can convert any reversible multichannel system into a reversible integer multichannel transform. The integer transform means the operation whose inputs and outputs are all sums of powers of two. Recently, the triangular matrix scheme was shown to be able to convert any nonsingular discrete transform into a reversible discrete integer transform. Since as other discrete transform, the multichannel system can also be expressed as a matrix form, we suggest that the triangular matrix scheme can also be applied for converting a multichannel system into a reversible integer transform. The proposed methods are useful for multirate signal processing, wavelet analysis, communication, and image processing.