Zero Forcing Equalizer
Zero Forcing Equalizer refers to a form of linear equalization algorithm used in communication systems which applies the inverse of the frequency response of the channel. This form of equalizer was first proposed by Robert Lucky.
The Zero-Forcing Equalizer applies the inverse of the channel frequency response to the received signal, to restore the signal after the channel. It has many useful applications. For example, it is studied heavily for IEEE 802.11n (MIMO) where knowing the channel allows recovery of the two or more streams which will be received on top of each other on each antenna. The name Zero Forcing corresponds to bringing down the intersymbol interference (ISI) to zero in a noise free case. This will be useful when ISI is significant compared to noise.
For a channel with frequency response the zero forcing equalizer is constructed by . Thus the combination of channel and equalizer gives a flat frequency response and linear phase .
In reality, zero-forcing equalization does not work in most applications, for the following reasons:
This second item is often the more limiting condition. These problems are addressed in the linear MMSE equalizer by making a small modification to the denominator of : , where k is related to the channel response and the signal SNR.

This is an excerpt from the article Zero Forcing Equalizer from the Wikipedia free encyclopedia. A list of authors is available at Wikipedia.
The article Zero Forcing Equalizer at en.wikipedia.org was accessed 1,560 times in the last 30 days. (as of: 06/10/2013)
Images on Zero Forcing Equalizer
Preview image:
Original:
Search results from Google and Bing
1
>30
1
Zero Forcing Equalizer - Wikipedia, the free encyclopedia
Zero Forcing Equalizer refers to a form of linear equalization algorithm used in communication systems which applies the inverse of the frequency response of ...
en.wikipedia.org/wiki/Zero_Forcing_Equalizer
2
>30
2
Linear Zero Forcing Equalization - ECE User Home Pages - Georgia ...
EE4601. Communication Systems. Week 13. Linear Zero Forcing Equalization. 0 c 2012, Georgia Institute of Technology (lect13 1) ...
users.ece.gatech.edu/stuber/4601/lectures-2012/week13.pdf
3
>30
3
BER for BPSK in ISI channel with Zero Forcing equalization - dspLog
Nov 29, 2009 ... In the past, we had discussed BER for BPSK in flat fading Rayleigh channel. In this post, lets discuss a frequency selective channel with the use ...
www.dsplog.com/2009/11/29/ber-bpsk-isi-channel-zero-forcing-equalization/
4
>30
4
Zero Forcing Equalizer. 18 likes · 1 talking about this. AlgorithmIf the channel response (or channel transfer function) for a particular channel is H(s) then the ...
5
>30
5
Channel Equalization
ELE 739 - Channel Equalization. 32. Zero Forcing Equalizer – (Peak Distortion) ... Zero Forcing Equalizer – Finite Length Case. • The ZF filter is. • Then, applying ...
www.ee.hacettepe.edu.tr/~toker/ELE739/Week5-6.pdf
6
>30
6
IEEE Xplore - Zero forcing and minimum mean-square-error ...
Zero forcing and minimum mean-square-error equalization for multiuser detection in code-division multiple-access channels. Full Text Sign-In or Purchase ...
ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=492851
7
>30
7
MIMO with Zero Forcing equalizer - File Exchange - MATLAB Central
by Krishna Sankar M. 03 Dec 2008. Describes a 2x2 MIMO system using Zero Forcing Equalizer in Rayleigh fading channel. | Watch this File ...
www.mathworks.com/matlabcentral/fileexchange/file_infos/22304-mimo-with-zero-forcing-equalizer
8
>30
8
6.2.2 Linear equalizers > Zero-forcing equalizer - Safari Books Online
6.2.2 Linear equalizers - Zero-forcing equalizer - t 163 6.2 Channel equalization A complex transmit symbol sequence {c i } is sent over a dispersive, noisy ...
my.safaribooksonline.com/book/networking/wireless/9780511717741/6dot2dot2-linear-equalizers/zeroforcing_equalizer
9
>30
9
Contents
Section 3.4 illustrates the basic concept of equalization through the zero-forcing equalizer (ZFE), which is simple to understand but often of limited effectiveness.
www.stanford.edu/group/cioffi/book/chap3.pdf
10
>30
10
ransparency Set 3: Equalization
Costas N. Georghiades. 3. The Zero-Forcing Equalizer. The overall response at the detector input must satisfy. Nyquist's criterion for no ISI: ( ). )( of phase theis )( ...
Search results for "Zero Forcing Equalizer"
Zero Forcing Equalizer in science
8 - The lazy precoder with a zero-forcing equalizer - University ...
8 - The lazy precoder with a zero-forcing equalizer pp. 295-316. By P. P. Vaidyanathan, See-May Phoong and Yuan-Pei Lin. View chapter as PDF ...
[PDF]Performance of MIMO Single-Carrier Frequency Domain Zero ...
Domain Zero-Forcing Equalizer. Ahmed Hesham Mehana and Aria Nosratinia. Dept. Electrical Engineering, University of Texas at Dallas, Richardson, TX 75083 ...
[PDF]Analysis of MIMO with Zero Forcing Successive Interference ... - IJERT
Guru Nanak Dev University, Amritsar, M.Tech Student. 2. Guru Nanak Dev. University ... Zero Forcing Equalizer showed matching results as obtained in for a 1×1 ...
[PDF]pdf file - Department of Electrical and Computer Engineering ...
McMaster University ... mission systems with zero-forcing equalization and threshold de- ... square error of the equalized symbols for both zero-forcing and ...
[PDF]Time Reversal and Zero-Forcing Equalization for ... - Multiple Choices
(1):Stanford University,. Stanford ... forcing pre-equalization and time reversal: we present a ... a pure zero-forcing beamformer and a pure time reversal system ...
Two-polarization generalized zero-forcing equalization for channel ...
Two-polarization generalized zero-forcing equalization for channel interference suppression. University of New Brunswick (Canada). Show full item record ...
[PDF]a new blind zeroforcing equalizer for multichannel ... - CiteSeerX
1Department of Electrical Engineering, Auburn University Auburn, AL 36839- 5201, USA ... we present a new blind zero-forcing equalizer that utilizes ...
In this paper, we develop and analyze a much simpler approach that is based on zero-forcing adaptation techniques. Numerical results for an idealized optical ...
Noncoherent Zero Forcing Equalization for Non-Orthogonal ...
2000 Conference on Information Sciences and Systems, Princeton University, March 15-17, 2000. Noncoherent Zero Forcing Equalization for Non-Orthogonal ...
Zero-Forcing Frequency-Domain Equalization for Generalized DMT
Zero-Forcing Frequency-Domain Equalization for Generalized DMT ... 1 Department of Electrical and Computer Engineering, Texas Tech University, Lubbock, ...
Books on the term Zero Forcing Equalizer
Wireless Communications
Andreas F. Molisch, 2012
16.2.1. Zero-Forcing. Equalizer. The ZF equalizer can be interpreted in the frequency domain as enforcing a completely flat (constant) transfer function of the combination of channel and equalizer by choosing the equalizer transfer function as ...
Mobile Communications
V. Jeyasri Arokiamary, 2009
Comparison of LMS and RLS algorithms 3.12.7.6 Zero Forcing Algorithm (ZF) In a Zero Forcing Equalizer the. coefficients of equalizer 'qn' are selected for forcing the samples of combined channel. The impulse response of the equalizer is zero ...
Ali H. Sayed, 2003
The ideal equalizer would be one that guarantees z(i) = s(i — AJe*" for some constant delay A and constant phase 9 (which could be zero). Such an equalizer is said to be zero-forcing and we denote its coefficients by wZF; its transfer function ...
Data communications principles
Richard D. Gitlin, J. F. Hayes, Stephen B. Weinstein, 1992
In this case, zero-forcing may produce large equalized pulse samples. xn, for Inl> M. Another drawback of zero- forcing is that the effect of the equalizer on the output noise is not accounted for; consequently, if there is a null in the channel, the ...
Signal Processing and Optimization for Transceiver Systems
P. P. Vaidyanathan, See-May Phoong, Yuan-Pei Lin, 2010
and 0.2 jw i s seemmsea )I —02|0(6jw)|2 (4.92) 1 + is 2 Uq where the extended subscript is to distinguish this from the zero-forcing case. In the latter case the equalizer is G(ej“') I 1/C(ej'*') and the error spectrum is 0.2 Seezflejw) I “'93) Note ...

Blog posts on the term
Zero Forcing Equalizer
BER for BPSK in ISI channel with Zero Forcing equalization
In the past, we had discussed BER for BPSK in flat fading Rayleigh channel. In this post, lets discuss a frequency selective channel with the use of Zero
www.dsplog.com/2009/11/29/ber-bpsk-isi-channel-zero-forcing-equalization/
Zero-Forcing Equalizer | Road to the EE Everest
Record my academic progress. By Zengli Yang
zengliyang.wordpress.com/2012/05/11/zero-forcing-equalizer/
Zero forcing equalization for STBC-MIMO systems - File Exchange - MATLAB Central