G. B. Giannakis and C. Tepedelenli6glu, "Direct blind equalizers of multiple FIR channels: A deterministic approach," IEEE 7kansactions on Signal Processing, vol. 47, January 1999 (to appear).  Home/Search   Document Details and Download   Summary   Related Articles   Check

....the quadratic criterion, i.e. arg min s ksV(1)k 2 . An efficient implementation of the IS algorithm is available in [31] 3 This is equivalent to assume that SW L 1 is full row rank, see [19] for more details. 15 Mutually referenced equalizers (MRE) method: This method, proposed in [32, 33, 34], estimates directly the channel inverse or rather a set of zero forcing channel inverses called mutually referenced equalizers. The existence of zero forcing equalizers rely on the left inversibility of the system matrix HM , which is ensured when HM is full column rank. The simple idea of the ....

G. B. Giannakis and C. Tepedelenlioglu, "Direct blind equalizers of multiple FIR channels: A deterministic approach," in Proc. of the 30th Asilomar Conference, CA, 1996.

....any G4 from Figure 1: 1 M) Ga[ 2 versus d. the noise free data block X N and the estimates of Go or GL: GdlIXN GoIoTXN GITXN, 17) hence: GIXN(XdTo,XN) 18) In the context of direct blind fractionally spaced equalizers, related optimum delay selection ideas were dis cussed in [1]. Denoting the noisy data by y(n) r (n) v (n) the algorithm consists of the following steps: 1. Collect N ) P data blocks in a matrix Y : y(0) y(N 1) estimate dop in (12) d set i = 0, Y) y(i) y(i N 1) Y (0) d do = 0. 2. Estimate i) and using (15) d (16) 3. ....

G. B. Giannakis and C. Tepedelenli6glu, "Direct blind equalizers of multiple FIR channels: A deterministic approach," IEEE 7kansactions on Signal Processing, vol. 47, January 1999 (to appear).

.... desired features, filterbank precoders and blind equalizers were proposed in [14] to minimize the rate reduction and obviate channel zero restrictions imposed by spatio temporal output diversity methods that rely on fractional sampling (FS) and or multiple antenna reception [13] [15], 22] 28] 33] However, identifiability in [14] was established only for white inputs and linear equation or subspace algorithms were developed for simple precoders (see also [19] In a deterministic multirate framework, filterbanks for nonblind channel equalization were also proposed in ....

....in TDMA and CDMA systems for the blind equalization of the downlink channel. Consistency analysis and modifications needed at low SNR are given in Section IV. In Section V, the proposed methods are tested via simulations and compared with alternative methods that employ space diversity [13] [15], 22] 33] fractional sampling (FS) 28] or they exploit a priori knowledge of the symbol constellation, e.g. the constant modulus algorithm (CMA) 16] II. PRELIMINARIES We will consider the same discrete time multirate transmitter model presented in [24] for the baseband communication ....

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G. B. Giannakis and C. Tepedelenlioglu, "Direct blind equalizers of multiple FIR channels: A deterministic approach," IEEE Trans. Signal Processing, vol. 47, pp. 62--74, Jan. 1999.

....is based on the following equation, which allows us to construct any Gd from Figure 1: 1 M)IIGdI[2 versus d. the noise free data block Xv and the estimates of G0 or GL: hence: h the context of direct blind fractionally spaced equ izers, related optimum delay selection ide were discussed in [1]. Denoting the noisy data by y(n) x(n) v(n) the gofithm consists of the foliong steps: 1. Collect N P data bloc in a matr Y : y(0) y(N 1) estimate dopt in (12) d set i = 0, Y : y(i) y(i N 1) Y (o) d Gdo, O. i) i) 2. Estimate o aria r using (15) and (16) ....

G. B. Giannakis and C. Tepedelenli6glu, "Direct blind equalizers of multiple FIR. channels: A deterministic approach," IEEE Transactions on Signal Processing, vol. 47, Jemuary 1999 (to appear).

....that allow for the tracking of time varying channels. In comparison with the adaptive approach of [8] the methods presented here are computationally simpler at the expense of some design flexibility. Finally, the methods of this paper have been extended to include deterministically modeled inputs [9], nonlinear channels [12] two dimensional (2 D) image models [10] and multiuser communications [33] 1053 587X 97 10.00 1997 IEEE Fig. 1. Fractionally sampled communication system. Fig. 2. Multichannel model for FS channel. II. MATHEMATICAL FRAMEWORK Consider the continuous time ....

....(approximately the middle of the range of delays) results in good equalizer performance. Selection of the optimum delay has been discussed in other papers (cf. 8] and [29] Here, we show how, from the minimum delay , ZF equalizers corresponding to any delay can be obtained. In addition, 8] and [9] have proposed methods to find the ZF equalizers for all delays simultaneously, which, although it allows more design flexibility, is naturally more computationally intensive than the method proposed here. At this point, we wish to note that while this paper addresses only i.i.d. inputs, this ....

[Article contains additional citation context not shown here]

G. B. Giannakis, "Direct blind equalizers of multiple FIR channels: A deterministic approach," submitted for publication.

.... hand, second order or deterministic blind solutions based on fractional sampling and or multiple antennas capitalize on their single input multi output (SIMO) equivalent structures, and require shorter data records for channel estimation and noise resilient equalization [238] 161] 293] 81] [91]. However, their restrictions on channel nulls are (close to being) systematically violated when fractional sampling is not accompanied with sufficient excess bandwidth. This testifies to the fact that, similar to training, these blind methods require redundancy in the form of excess bandwidth for ....

.... a unifying and flexible paradigm for interpreting several current precoding schemes [204] Blind equalizers based on filterbank precoders were proposed in [85] to minimize rate reduction and obviate channel zero restrictions imposed by the spatio temporal SIMO methods [238] 161] 293] 81] [91]. Filterbanks for nonblind channel equalization were also discussed in [292] under restrictions on the channel zeros. Building upon the multirate filterbank transceivers, deterministic methods for blind channel estimation, block synchronization, and direct equalization without imposing ....

G.B. Giannakis and C. Tepedelenlioglu, "Direct blind equalizers of multiple FIR channels: a deterministic approach," IEEE Trans. Signal Processing, vol. 47, no. 1, pp. 62-74, Jan. 1999.

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