摘要:
A modulator apparatus for modulating arrays of input data V.sub.in to be stored in a holographic recording medium is disclosed wherein the final output data array V.sub.out has frequent transitions from light to dark and from dark to light in either dimension across the data page and has the total amount of illuminated regions throughout the entire data page held constant. These two constraints are achieved by a first set of control arrays obtained from two fixed sets of m.times.n binary arrays {A.sub.0, A.sub.1, . . . , A.sub.n } and {B.sub.0, B.sub.1, . . . , B.sub.m } which in turn are obtained from fixed sets of binary control vectors {a.sub.0, a.sub.1, . . . , a.sub.n }, {b.sub.0, b.sub.1, . . . , b.sub.m }, respectively. The control vectors a.sub.0, a.sub.1, . . . , a.sub.n are any n+1 fixed elements of the inverse mapping, .phi..sup.-1 (C.sub.1), of the (t-2) error-correcting code C.sub.1 of length m. The control vectors b.sub.0, b.sub.1, . . . , b.sub.m are any m+1 fixed elements of the inverse mapping, .phi..sup.-1 (C.sub.2), of the (t-2) error correcting code C.sub.2 of length n. The first constraint is achieved by V'.sub.in =V.sub.in .sym.(A.sym.B). In order to balance the modulated array, a second set of control arrays {W.sub.0, W.sub.1, W.sub.2. . . , W.sub.mn-1 } is obtained from the set of control vectors {w.sub.0, w.sub.1, w.sub.2. . . , w.sub.mn-1 }. The second constraint is achieved by complementing the bits of the input binary array V'.sub.in in a horizontal readout order terminating after the first i bits. The final modulated output array V.sub.out =V'.sub.in .sym.W simultaneously satisfies both constraints.
摘要翻译:公开了一种用于调制要存储在全息记录介质中的输入数据Vin阵列的调制器装置,其中最终输出数据阵列Vout在数据页面上的任一维度中都具有从亮到暗和从暗到浅的频繁转变, 整个数据页面的照明区域数量保持不变。 这两个约束通过从两个固定的mxn二进制数组{A0,A1,...获得)获得的第一组控制数组来实现。 。 。 ,An}和{B0,B1,... 。 。 ,Bm},其又从固定的二进制控制矢量{+ E,rar a + EE 0,+ E,rar a + EE 1,...获得。 。 。 ,+ E,rar a + EE n},{+ E,rar b + EE 0,+ E,rar b + EE 1, 。 。 ,+ E,rar b + EE m}。 控制向量+ E,rar a + EE 0,+ E,rar a + EE 1。 。 。 + E,rar a + EE n是长度为m的(t-2)纠错码C1的逆映射的phi-1(C1)的n + 1个固定元素。 控制向量+ E,rar b + EE 0,+ E,rar b + EE 1, 。 。 + E,rar b + EE m是长度为n的(t-2)纠错码C2的逆映射的phi-1(C2)的任何m + 1个固定元素。 第一个约束是由V'in = Vin(+)(A(+)B)来实现的。 为了平衡调制阵列,第二组控制阵列{W0,W1,W2。 。 。 ,W m + 1,+ E,rar w + EE 2的控制矢量{+ E,rar w + EE 0,+ E,rar w + EE 1,+ E,rar w + 。 ,+ E,rar w + EE mn-1}。 第二个约束是通过在第一个i位之后终止的水平读出顺序互补输入二进制数组V'in的位来实现的。 最终调制输出阵列Vout = V'in(+)W同时满足两个约束条件。