By Jinho Choi
Adaptive sign processing (ASP) and iterative sign processing (ISP) are vital innovations in bettering receiver functionality in verbal exchange platforms. utilizing examples from functional transceiver designs, this 2006 ebook describes the basic idea and useful features of either equipment, supplying a hyperlink among the 2 the place attainable. the 1st components of the e-book take care of ASP and ISP respectively, every one within the context of receiver layout over intersymbol interference (ISI) channels. within the 3rd half, the purposes of ASP and ISP to receiver layout in different interference-limited channels, together with CDMA and MIMO, are thought of; the writer makes an attempt to demonstrate how the 2 recommendations can be utilized to resolve difficulties in channels that experience inherent uncertainty. Containing illustrations and labored examples, this ebook is acceptable for graduate scholars and researchers in electric engineering, in addition to practitioners within the telecommunications undefined.
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Extra resources for Adaptive and Iterative Signal Processing in Communications
37) The analysis of Eq. 37) can be made easier if the difference equation is decoupled. To this end, the eigendecomposition of Ry is required. 38) where E = [e1 e2 · · · e M ] and Λ = Diag(λ1 , λ2 , . . , λ M ) ⎤ ⎡ λ1 0 · · · 0 ⎢ 0 λ2 · · · 0 ⎥ ⎥ ⎢ =⎢ . .. ⎥ . .. ⎣ .. ⎦ 0 0 · · · λM Here, λm and em are the mth largest eigenvalue and its corresponding eigenvector of Ry , respectively. Note that the covariance matrix Ry is symmetric and positive semidefinite. Thus, the eigenvalues are real and nonnegative.
21), the FFF of a finite length can suppress the precursors. From this, we can see that a DFE can provide a good performance with small numbers of taps of the FFF and FBF. 2 MMSE DFE Since the ZF DFE only attempts to remove the ISI, the noise can be enhanced. To avoid this, it is desirable to consider the MMSE criterion. With the equalizer output, dl , that estimates the desired symbol sl = bl−m¯ , the MSE is given by MSE = E[|sl − dl |2 ] = E[|bl−m¯ − dl |2 ] ⎡ = E ⎣ bl−m¯ − gm yl−m − m=0 2 N −1 M−1 f m bˆ l−m ⎤ ⎦.
Substituting Eq. 63) into Eq. 64) where Ωl = λ−2 −1 1 + λ−1 ylT Σl−1 yl −1 −1 Σl−1 yl ylT Σl−1 . 65) −1 ml = βl Σl−1 yl . Then, Ωl is rewritten as Ωl = (λβl )−1 ml mlT . Substituting this into Eq. 64), we have −1 rl−1 + (λβl )−1 ml sl − (λβl )−1 ml mlT yl sl g(l) = g(l−1) − ml ylT Σl−1 = g(l−1) − ml ylT g(l−1) + (λβl )−1 ml 1 − mlT yl sl = g(l−1) + ml (λβl )−1 1 − mlT yl sl − ylT g(l−1) . 66) Using the definitions of βl and ml , we can show that 1 − mlT yl = 1 − −1 λ−1 yl Σl−1 yl −1 1 + λ−1 yl Σl−1 yl = λβl .
Adaptive and Iterative Signal Processing in Communications by Jinho Choi