Designing notch filter with controlled null width
Signal Processing
Fractional differentiation for edge detection
Signal Processing - Special issue: Fractional signal processing and applications
Design of variable and adaptive fractional order FIR differentiators
Signal Processing - Fractional calculus applications in signals and systems
Functional Fractional Calculus for System Identification and Controls
Functional Fractional Calculus for System Identification and Controls
IEEE Transactions on Image Processing
Studies on fractional order differentiators and integrators: A survey
Signal Processing
Fractional Calculus for Scientists and Engineers
Fractional Calculus for Scientists and Engineers
Fractional-Order Anisotropic Diffusion for Image Denoising
IEEE Transactions on Image Processing
Fractional zero-phase filtering based on the Riemann-Liouville integral
Signal Processing
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In this paper, the designs of linear phase FIR filters using fractional derivative constraints are investigated. First, the definition of fractional derivative is reviewed briefly. Then, the linear phase FIR filters are designed by minimizing integral squares error under the constraint that the ideal response and actual response have several same fractional derivatives at the prescribed frequency point. Next, the fractional maximally flat FIR filters are designed by letting the number of fractional derivative constraints be equal to the number of filter coefficients. Finally, numerical examples are demonstrated to show that the proposed method has larger design flexibility than the conventional integer derivative constrained methods.