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Correspondingly, an inverse operation of permutation need to be implemented during the image restoration procedure.
First, the sequences of the MCLT coefficients and the channel coefficients are respectively restored by the de-interleaver performing an inverse operation with the interleaver.
Since the computation of 's from (24) involves an inverse operation on a matrix (one-time job), it may not be computable when the matrix becomes (near) singular, which occurs when the channel is very slow fading.
However, the system gain will be diminished when S is decomposed into subsystems in an inverse operation, i.e., (S= mathop pitchfork nolimits _{i=1}^2,S_i ) as formally explained in Eq. 3.2 in Table 4.
With both K d and K c, receiver can retrieve the hidden data from the histogram of absolute differences of pixel groups after decryption and recover the original image by implementing an inverse operation of histogram shifting.
By performing an inverse operation, the normal acceleration spectrum on the virtual source plane can be obtained by an iterative solving process, and then taken as the input to reconstruct the whole pressure field and the normal acceleration of the plate.
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The hidden data can be extracted from the marked histogram and the encrypted image without hiding data can be restored by using an inverse operations of histogram shifting.
On the other hand, a subtraction operation uniquely determines an addition operation, an additive inverse operation, and an additive identity; for this reason, an additive group can be described as a set that is closed under subtraction.
FW / INV ¯ signal is for forward (a '0') and inverse operation (a '1').
For the scheme in [15], the major operations are the SVD of a N×K(K−2) matrix and a matrix inverse operation of two N×N matrices.
Tinv: The time of executing a modular inverse operation.
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