Photo-Diode Array Partitioning Problem for a Rectangular Region

Kunihiro FUJIYOSHI  Takahisa IMANO  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E100-A   No.12   pp.2851-2856
Publication Date: 2017/12/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E100.A.2851
Type of Manuscript: Special Section PAPER (Special Section on VLSI Design and CAD Algorithms)
partitioning,  photo diode array,  Hamiltonian path,  divide and conquer,  

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Photo Diode Array (PDA) is the key semiconductor component expected to produce specified output voltage in photo couplers and photo sensors when the light is on. PDA partitioning problem, which is to design PDA, is: Given die area, anode and cathode points, divide the area into N cells, with identical areas, connected in series from anode to cathode. In this paper, we first make restrictions for the problem and reveal the underlying properties of necessary and sufficient conditions for the existence of solutions when the restrictions are satisfied. Then, we propose a method to solve the problem using recursive algorithm, which can be guaranteed to obtain a solution in polynomial time.