R. S. Freedman, "On Gram--Charlier approximations," IEEE Trans. Commun., vol. COM-29, pp. 122--125, Feb. 1981. Home/Search Document Not in Database Summary Related Articles Check |
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Evaluation of Binary Linear Block Codes - Abedi, Khandani (2003) (Correct)
....on an orthogonal basis which is suitable for that function. As the pdf of bit LLR is approximately Gaussian [7] 22] 23] the appropriate basis can be normal Gaussian pdf and its derivatives which form an orthogonal basis. There are a variety of equivalent formulations for this expansion [15] [24] [26] while we follow the notation used in [15] Consider a random variable Y , which is normalized to have zero mean and unit variance. One can expand the pdf of Y , namely f Y (y) using the following formula which is called the Gram Charlier series expansion, f Y (y) # i T i (y) ....
....we can write, Q(a) 51) Q(a) 52) Q(a) a 2 # i T i 1 (a) 53) This results in a closed form expression for computing probability of error. 13 VII. CONVERGENCE PROPERTIES Convergence properties of Gram Charlier expansion is investigated in [24], 29] 30] It is proved in [31] that the expansion is convergent if the expanded function satisfies the following condition, f Y (y)e 4 dy #. 54) Reference [13] mentions that this expansion has good asymptotic behavior as defined in [32] In other words, a few terms will give a ....
R.S. Freedman, "On Gram-Charlier Approximations," IEEE Transactions on Communications, vol. 29, no. 2, pp. 122-125, February 1981.
An Analytical Method for Approximate Performance Evaluation.. - Abedi, Khandani (2004) (Correct)
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R. S. Freedman, "On Gram--Charlier approximations," IEEE Trans. Commun., vol. COM-29, pp. 122--125, Feb. 1981.
Invariance Properties and Performance Evaluation of Bit Decoding.. - Abedi (2004) (Correct)
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R. S. Freedman, "On Gram-Charlier Approximations," IEEE Transactions on Communications, vol. 29, no. 2, pp. 122-125, February 1981.
An Analytical Method for Approximate Performance Evaluation.. - Ali Abedi Student (2004) (Correct)
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R. S. Freedman, "On Gram--Charlier approximations," IEEE Trans. Commun., vol. COM-29, pp. 122--125, Feb. 1981.
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