SNR Analysis of Non-Coherent ASK Systems Using Bessel Function
Abstract: Non-coherent amplitude shift keying (ASK) is widely used in communication systems where carrier phase synchronization is difficult or impractical. In such receivers, envelope detection is used instead of coherent demodulation. The statistical analysis of the envelope detector output reveals the presence of modified Bessel functions in the probability density function of the received signal amplitude. This paper presents a detailed theoretical study of noise behaviour in non-coherent ASK systems and derives the Rice probability density function for the envelope detector output. Analytical expressions for the bit error rate (BER) are obtained and their dependence on signal-to-noise ratio (SNR) is examined. A comparison with coherent ASK detection is also presented to highlight performance differences. The results demonstrate the fundamental role of Bessel functions in modelling detection performance in non-coherent communication systems.
Keywords: Non-coherent detection, amplitude shift keying, Bessel function, Rice distribution, BER analysis, AWGN channel
How to Cite?: Dhiraj Saxena, "SNR Analysis of Non-Coherent ASK Systems Using Bessel Function", Volume 15 Issue 3, March 2026, International Journal of Science and Research (IJSR), Pages: 1606-1608, https://www.ijsr.net/getabstract.php?paperid=SR26324112634, DOI: https://dx.doi.org/10.21275/SR26324112634