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This paper reports a mathematical model for the evaluation of the bit error rate (BER) performance of burst-mode receivers by taking the effect of random noise and charging/discharging parameters of the receiver into consideration. The distribution of the threshold voltages will be similar to that of the distribution of the values corresponding to logical 1's of the preamble for threshold setting. The threshold setting will also vary when a long string of consecutive 0's arrive in the incoming data that report errors in detection. The average threshold is determined for a particular bit position in the consecutive string of 0's. The expression based on the threshold is also used to determine the BER of the receiver.