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B. P. Lathi, Zhi Ding - Modern Digital and Analog Communication Systems-Oxford University Press (2009)

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12.10 Blind Equalization and Identification 71 1

bandwidth per station and provides a higher data rate. With OFDM, the FM !BOC subchannel

bandwidth equals 363.4 Hz, and the maximum number of subcarriers is 1093. Each subcarrier

uses QPSK modulation. On the other hand, the AM !BOC subchannel bandwidth is 181. 7

Hz (half as wide), and as many as 104 subcarriers may be used. Each subcarrier can apply

16-point QAM (secondary subcarriers) or 64 point QAM (primary subcarriers). Further details

on IBOC can be found in the book by Maxson. 1 6

12.10 BLIND EQUALIZATION AND IDENTIFICATION

Standard channel equalization and identification at receivers typically require a known (training)

signal transmitted by the transmitter to assist in system identification. Alternatively,

the training sequence can be used directly to determine the necessary channel equalizer.

Figure 12.18 illustrates how a training signal can be used in the initial setup phase of the receiver.

During the training phase, a known sequence is transmitted by the transmitter such that

the equalizer output can be compared with the desired input to form an error. The equalizer

parameters can be adjusted to minimize the mean square symbol error. At the end of the training

phase, the equalizer parameters should be near enough to their optimum values that much of

the intersymbol interference (ISi) is removed. Now that the channel input can be correctly

recovered from the equalizer output through a memoryless decision device (slicer), real data

transmission can begin. The decision output s[k - u] can be used as the correct channel input to

form the symbol error for continued equalizer adjustment or to track slow channel variations.

The adaptive equalizer then obtains its reference signal from the decision output when the

equalization system is switched to the decision-directed mode (Fig. 12. 1 8). It is evident that this

training mechanism can be applied regardless of the equalizer in use, be it TSE, FSE, or DFE.

In many communications, signals are transmitted over time-varying channels. As a result,

a periodic training signal is necessary to identify or equalize the time-varying channel response.

The drawback of this approach is evident in many communication systems where the use of

training sequence can represent significant overhead costs or may even be impractical. For

instance, no training signal is available to receivers attempting to intercept enemy communications.

In a multicast or a broadcast system, it is highly undesirable for the transmitter to start

a training session for each new receiver by temporarily suspending its normal transmission

to all existing users. As a result, there is a strong and practical need for a special kind of

channel equalizer, known as blind equalizers, that do not require the transmission of a training

sequence. Digital cable TV and cable modems are excellent examples of such systems that can

benefit from blind equalization.

There are a number of different approaches to the problem of blind equalization. In general,

blind equalization methods can be classified into direct and indirect approaches. In the direct

Figure 12. 1 8

Channel equalization

based on

a training phase

before switching

to decision

feedback mode.

Channel input

Sn

LT!

channel

H (z)

Channel

noise

w[n ]

d[n]

Sn - u

Equalizer t-----,---.i

QAM -

--

F (z)

Equalizer

design

dee(.)

Training

storage

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