International Scholarly Research Notices

Research Article

Sign Data Derivative Recovery

Figure 1

The expectation value curves for 𝑆 𝑛 = ( 1 / ( Δ 𝑣 ) 𝑛 ) ∑ 𝑛 𝑖 = 0 ( − 1 ) 𝑖 ( 𝑛 𝑖 ) s g n ( 𝑓 ( 𝑣 + ( 𝑛 − 𝑖 ) Δ 𝑣 + 𝑋 𝑖 ) ) or 𝐸 ( 𝑆 𝑛 ) for 𝑛 = 0 , 1 , 2 , 𝑓 ( 𝑣 ) = s i n ( 𝑣 ) , 𝑎 = 1 , and Δ 𝑣 = 0 . 5 . The number of iterations in the expectation values is 𝑁 = 1 0 0 0 . 𝐸 ( 𝑆 0 ) corresponds to the blue curve and approximates 𝑓 , 𝐸 ( 𝑆 1 ) corresponds to the green curve and approximates 𝑓 , and 𝐸 ( 𝑆 2 ) corresponds to the red curve and approximates 𝑓 .
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