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oddp returns true if integer is odd (not divisible by two); otherwise, returns false.
They also obtainedmultiplicity of solutions when the nonlinearity is odd.
To always reach an integer, the relationship applies: p=left{begin{array}{c}frac{k+1}{2}kern2.75em, when k is odd; frac{k+1}{2}pm frac{1}{2}kern2em, when k is even.end{array}right.end{array}right
This is the case, when n is odd.
We first consider the case when n is odd.
It is proved in this paper that if the rotational angles of the DFrFTs are not integer multiples of π, as well as they are not odd integer multiples of π2 when the signal lengths are odd, then there is only one degree of freedom for designing the mask coefficients.
Now we discuss the CAGE algorithm, when N is odd.
The control mode is similar when n is odd.
When n is odd, by Lemma 4.1, l must be an even integer.
when N is odd.
If is even, then for some odd integer and is odd.
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