All-Optical Discrete Sine Transform and Discrete Cosine Transform Based on Multimode Interference Couplers

2010 ◽  
Vol 22 (5) ◽  
pp. 317-319 ◽  
Author(s):  
Junhe Zhou ◽  
Min Zhang
2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
S. Akhter ◽  
V. Karwal ◽  
R. C. Jain

Fast windowed update algorithms capable of independently updating the odd discrete cosine transform (ODCT) and odd discrete sine transform (ODST) of a running data sequence are analytically developed. In this algorithm, to compute the ODCT coefficients of a real-time sequence, we do not require the ODST coefficients. Similarly, the ODST coefficients of the shifted sequence can be calculated without using ODCT coefficients. The running input data sequence is sampled using a rectangular window. However, this idea can be easily extended for other windows. The update algorithm derived herein can be used to compute the transform coefficients of the shifted sequence as new data points are available. The complexity of developed algorithm isO(N). The validity of algorithm is tested by MATLAB simulations.


2016 ◽  
Vol 22 ◽  
pp. 129-134 ◽  
Author(s):  
Cao-Dung Truong ◽  
Manh-Cuong Nguyen ◽  
Duy-Tien Le ◽  
Trung-Thanh Le

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