Discrete Fractional COSHAD Transform and Its Application

Figure 9

The function 𝑓₂(𝑥_𝑖) and its approximation using the IPRM; (a) COSHAD-based IPRM, left interval: 𝑢=2, 𝑚=6; right interval: 𝑢=3, 𝑚=2; (b) FrCOSHAD-based IPRM, left interval: 𝑢=2, 𝑚=6, 𝑝=0.6, right interval: 𝑢=3, 𝑚=2, 𝑝=0.4; (c) FrCOSHAD-based IPRM, left interval: 𝑢=2, 𝑚=6, 𝑝=0.3, right interval: 𝑢=3, 𝑚=2, 𝑝=0.5.

(a)

(b)

(c)