Upper bound for the loss factor of energy detection of random signals in multipath fading cognitive radios

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In this paper, the loss of energy detection compared with optimal sensing caused by neglecting signal correlation due to multipath fading is considered. The loss factor or relative performance of energy detection compared with optimal sensing is analyzed using Pitman's asymptotic relative efficiency (ARE) which is defined as the ratio of the required number of samples of one detector to that of the other to yield the same detection performance in large sample scheme. Under the assumption of L-tap finite impulse response (FIR) channel with zero-mean independent and identically distributed (i.i.d.) tap coefficients, it is shown that the loss factor of the energy detection relative to optimal sensing is no larger than 1/2 in large delay spread case (i.e., strong correlation); under the same signal power condition the required number of samples for energy detection neglecting the signal correlation is no more than twice of that required for optimal sensing exploiting the signal correlation fully.
Publisher
IEEE Signal Processing Society
Issue Date
2009-04-19
Language
English
Citation

2009 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2009, pp.2537 - 2540

DOI
10.1109/ICASSP.2009.4960139
URI
http://hdl.handle.net/10203/154631
Appears in Collection
EE-Conference Papers(학술회의논문)
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