We start by giving a brief description of the classical Chinese remainder theorem for integers, after whichwe define the greatest common divisor of two polynomials and congruences modulo a polynomial. These concepts allow us to state and prove the Chinese remainder theorem for polynomials. After presenting some important consequences of that theorem, we give its applications to the factorizatio...

Multi-Secret Image Sharing (MSIS) is important in information security when multiple images are shared an unintelligible form to different participants, where the can only be recovered using shares from participants. This paper proposes a simple and efficient ( $...

In this paper, with respect to multichannel synthetic aperture radars (SAR), we first formulate the problems of Doppler ambiguities on the radial velocity (RV) estimation of a ground moving target in range-compressed domain, range-Doppler domain and image domain, respectively. It is revealed that in these problems, a cascaded time-space Doppler ambiguity (CTSDA) may encounter, i.e., time domain...

In this paper, we propose a new 4-moduli set {2n+ 3, 2n+ 2, 2n+ 1, 2n} that increases the dynamic range and the processing parallelism enabling efficient reverse conversion. First, we assume a general 4-moduli set {mi}i=1,4, m1 > m2 > m3 > m4, with the dynamic range M = ∏4 i=1 mi and introduce a modified Chinese Remainder Theorem (CRT) that requires mod-m4 instead of mod-M calculations. Subsequ...