A transient-free structure for Lagrange-type variable fractional-delay digital filter

This paper presents a new structure for Lagrange-type variable fractional-delay (VFD) filter. A new structure is formulated from discrete Pascal transform (DPT) and its Pascal interpolation. The computational complexity which obtained from proposed structure is linear function of VFD filter order as same as the so-called Taylor's series structure and also be modular structure. Unfortunately, Taylor's series structure is suffered from transient error that caused from changing delay parameter but the proposed structure can online adjust delay parameter without transient error. Therefore, a transient-free structure will be the new choice for Lagrange-type VFD filters structure which is suitable for real-time application such as sampling rate conversion (SRC) and timing recovery in digital receiver.