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which is seen to be a special case of CMA1-2 and RCA for real-data Actually, RCA extends Sato's algorithm to the complex domain (see Prob III34) Although simple to implement, the Sat0 and RCA methods tend to face convergence difficulties The more general constant-modulus algorithms described in Algs 125 and 126 were developed by Godard (1980) and Treichler and Agee (1983) These authors arrived at the same algorithms, and the only minor difference between their formulations is with regards to the interpretation of the constant y The motivation of Treichler and Agee (1983) was to equalize constant-envelope signals For this reason, they chose the constant y as the value of the constant amplitude Interestingly, however, constant-modulus algorithms can still function properly even if the underlying data do not possess the constant-modulus property (eg, data arising from a QAM constellation).

where {Yk} and {zk(n)} respectively the path loss and fading sequence of the k-th clusare ter of reflectors, and the {nk} are the cluster delays. The sequences { k ( n ) } modeled as z are independent Rayleigh fading sequences and the channel is referred to as a multipath Rayleigh fading channel. In this project, we consider a wireless channel with two Rayleigh fading rays; both rays are assumed to fade at the same Doppler frequency of fD = 10Hz. The channel impulse response sequence consists of two zero initial samples (Lee,an initial delay of two samples), followed by a Rayleigh fading ray, followed by another zero sample, and by a second Rayleigh fading ray. In other words, we are assuming a channel length of M = 5 taps with only two active Rayleigh fading rays, so that the weight vector that we wish to estimate has the form:

This fact was noted earlier by Godard (1980), whose motivation was to perform blind equalization on such disperse constellations For this reason, the constant y in Godard (1980) was chosen as some statistical measure of the dispersion in the data (see Probs IV16 and IV18 for further explanation) Compared with RCA, the CMA methods are more reliable Nevertheless, their implementations are more complex since they tend to require the use of rotators at the output of the equalizers (see Treichler, Larimore, and Harp (1998)) Since these earlier contributions, much subsequent work has been done on blind algorithms, eg, by Macchi and Eweda (1984), Benveniste and Goursat (1984), Foschini (1985), Picchi and Prati (1987), and Shalvi and Weinstein (1990).

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In Picchi and Prati (1987) a "stop-and-go" algorithm was introduced that employs a flag to halt adaptation if the error signal is deemed unreliable; the algorithm is examined in Computer Project 1114 In Yang, Werner, and Dumont (1997), a multimodulus algorithm (M MA) was introduced that is suitable for two-dimensional modulation schemes (see Prob 11135); this algorithm was studied in the context of broadband access systems in Werner et al (1999)..

You can specify whether this default template uses metric or imperial measurements by setting the MEASUREINIT system variable. (System variables are discussed further in 5.) On the command line, type measureinit . Enter 0 for imperial units and 1 for metric units. The default template is acad.dwt for AutoCAD and acadlt.dwt for AutoCAD LT. Another default template is acad -Named Plot Styles.dwt or acadlt -Named Plot Styles.dwt, which refers to named plot styles. (See 17.) FIGURE 2.1

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