  Accurate reconstruction of HRTFs is important in the development of high
quality binaural sound synthesis systems. Conventionally, minimum phase HRTF
model development for reconstruction of HRTFs has been limited to minimum
phase-pure delay models which ignore the all pass component of the HRTF. In
this paper, a novel method for minimum phase HRTF modelling of Pinna Spectral
Notches (PSNs) using group delay decomposition is proposed. The proposed model
captures the PSNs contributed by both the minimum phase and all pass component
of HRTF thus facilitating an accurate reconstruction of HRTFs. The purely
minimum phase HRTF components and their corresponding spatial angles are first
identified using Fourier Bessel Series method that ensures a continuous
evolution of the PSNs. The minimum phase-pure delay model is used to
reconstruct HRTF for these spatial angles. Subsequently, the spatial angles
which require both the minimum phase and all pass components are modelled using
an all-pass filter cascaded with minimum-phase pure-delay model. Performance of
the proposed model is evaluated by conducting experiments on PSN extraction,
cross coherence analysis, and binaural synthesis. Both objective and subjective
evaluation results are used to indicate the significance of the proposed model
in binaural sound synthesis.
