Linear plus cork-screw

An improvement to the linear interpolation technique can be made by multiplying the linear interpolator by $\exp {(-i \pi \delta n)}$, which, in the time-space domain, corresponds to moving the center of the sinc² function to T/2, so that the original values between T/2 and T are stronger than the wraparound between -T/2 and . The linear plus cork-screw operator is

$$C_{n+ \delta n}=\exp {(-i \pi \delta n)}[(1- \delta n)C_n +(\delta n) C_{n+1}]$$ (4)

In Figure 3, we show the implement of this operator. This result is better than Figure 1 and Figure 2, i.e. the artifacts are still obvious for the top and bottom impulse responses, because the amplitude of the sinc² function varies with time and space. Only the original value at the center of the section is not affected by the artifact because for $n*T+T \over 2$, the wraparound is multiplied by a zero value of the sinc² function.