SVD-based denoising algorithm for TH-PPM UWB signal in AWGN channel

In this paper, a novel denoising technique based on singular value decomposition (SVD) algorithm for a UWB system with Time hopping (TH) and pulse position modulation (PPM) are considered is presented. According to the different correlation about UWB signals and Gaussian noises themselves, SVD is used to approximate the noises which then are subtracted from the received signals. Aiming at shortcomings of existing singular value truncation criterion, this paper use a new method to decide the threshold for SVD filter (SVDF), based on the value of signal to noise ratio (SNR). Simulations have demonstrated that an efficient elimination of noise on UWB signal and an improvement on Bit error rate (BER) are achieved by comparing our algorithm with the EMD method.