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Radio frequency (RF)jamming is considered as one of the most proficient technique to launch Denial of Service (DoS) attack in wireless networks. Majority of the jamming attacks to-date largely focus on jamming efficiency by transmitting colossal volume of data to obtain better jamming effectiveness. Consequently, as more and more data is transmitted the probability of detecting the presence of a jammer becomes high. In addition the energy expenditure by the jammer is markedly increased. However it is highly preferred to minimize the detection probability as well as the energy consumption for achieving better jamming efficiency during the course of jamming. In this paper we present a novel idea of shot-noise induced RF jamming which demonstrates a fairly good jamming efficiency as well as minimal detection probability. That has been achieved by transmitting very small noise pulses in an efficient way to distort fewer bits of the ongoing transmission rather than disrupting the whole packet. Moreover we also analyze the effect of packet size and data rate on jamming efficiency. Our results divulge a considerable improvement in energy efficiency by lowering data rate with lesser detection probability as compared to the previous work reported in the literature.