Novel method for analyzing the performance of the 1 bit IR-UWB receiver in the presence of timing jitter

A novel method based on the Central Limit Theorem (CLT) is proposed to analyze the performance of the 1 bit Impulse-Radio Ultra-WideBand (IR-UWB) receiver in the presence of a timing jitter. First, the sampled signal with timing jitter is expressed as a linear function of the sampled signal without jitter and timing jitter through first-order Taylor series expansion. Then by the CLT, the decision variable of the 1 bit receiver is considered as Gaussian distributed and the bit error rate (BER) is derived. After that, an upper bound of the averaged BER is also provided based on the distribution of random timing jitter. The given analytical result is the first analytic expression of the BER performance of the 1 bit receiver with timing jitter and can be used for the case where the 1 bit receiver has a linear interference. Experimental results show that the proposed upper bound agrees with the actual performance of the 1 bit receiver very well and can be used for both Gaussian distributed and uniform distributed timing jitter.