The discrete fractional random cosine and sine transforms
Zhengjun Liu, Qing Guo, Shutian Liu
TL;DR
This paper introduces the discrete fractional random cosine and sine transforms (DFRNCT and DFRNST), extending the discrete fractional random transform (DFRNT) with new variants that inherit key properties and are demonstrated through numerical examples.
Contribution
The paper proposes novel DFRNCT and DFRNST transforms based on DFRNT, establishing their mathematical properties and providing numerical results for 1D and 2D functions.
Findings
DFRNCT and DFRNST are special cases of DFRNT.
Mathematical properties are inherited from DFRNT.
Numerical results validate the transforms.
Abstract
Based on the discrete fractional random transform (DFRNT), we present the discrete fractional random cosine and sine transforms (DFRNCT and DFRNST). We demonstrate that the DFRNCT and DFRNST can be regarded as special kinds of DFRNT and thus their mathematical properties are inherited from the DFRNT. Numeral results of DFRNCT and DFRNST for one and two dimensional functions have been given.
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