In this paper, an improved approach to blind deconvolution of LTI systems incorporating phase unwrapping is presented. The method can recover a noise-free estimate of the logarithm of the system transfer function which enables reconstruction of the system. The algorithm is fast due to simple computation and accurate as it includes phase unwrapping. The proposed method is compared via simulation with other methods, selected as representative of both bispectrum and bicepstrum based techniques. In general, it performs as well as or much better than the other methods considered. The proposed method is also shown to perform well under low signal-to-noise ratios. Key words: Higher Order Statistics, Bispectrum, Skewness, Bicoherence, Cepstrum, Power Cepstrum, Bicepstrum, Phase Unwrapping, Blind Deconvolution