Performance analysis of a frame detection algorithm for burst mode communications

• Published in: 2004 IEEE Wireless Communications and Networking Conference Vol. 1; pp. 571 - 576 Vol.1
• Main Authors: Salt, J.E., Nguyen, H.H.
• Format: Conference Proceeding
• Language: English
• Published: Piscataway NJ IEEE 2004
• Subjects: Applied sciences; Detection algorithms; Digital signal processing; Equations; Exact sciences and technology; Gamma ray detection; Gamma ray detectors; Information, signal and communications theory; Miscellaneous; OFDM; Pattern recognition; Performance analysis; Probability density function; Signal processing; Signal processing algorithms; Switching and signalling; Systems, networks and services of telecommunications; Telecommunications; Telecommunications and information theory; Timing; Performance evaluation; Gamma distribution; Statistical method; Packet switching; Probability density function; Signal processing; Feature extraction; Digital signal processor; Algorithm; Edge detection; Shape detection
• ISBN: 9780780383449; 0780383443
• ISSN: 1525-3511
• DOI: 10.1109/WCNC.2004.1311609

In burst mode communication, the beginning of a burst is often estimated by comparing the power in a sliding window to a threshold. The simplicity of the algorithm makes it very attractive. The probability density function of the detection variable for this simple algorithm is the subject of (H. H. Nguyen et al., April 2003) where it is shown to be approximately Gamma distributed. This paper provides further analysis of this low complexity edge/burst detection DSP algorithm. The analysis yields two equations that relate "the probability of false detection" and "the probability of missing a detection" to window size and the decision threshold.