The Wigner-Ville distribution (WVD) has been a powerful signal processing tool for time-frequency signal analysis. Consequently, many algorithms have been proposed in the literature for computing the WVD in real-time applications [2, 8, 7, 5]. Recently, Pei and Yang proposed an efficient algorithm which uses discrete Hartley transform (DHT) to evaluate the WVD entirely in the real domain [5]. In this paper, a fixed-point error analysis of this algorithm has been carried out. An expression for output noise-to-signal ratio (NSR) is derived. The results indicate that this algorithm has better noise properties when compared to the FFT-based algorithm, even though the FFT has better noise properties than the FHT.