English to Serbian Tech/Engineering Electronics / Elect Eng Signaling over Band-Limited channels

where wk is the weight at the kth tap and N + 1is the total number of taps. The tap weights constitute the adaptive equalizer coefficients. We assume that the input sequence Xn has finite energy. We have used a notation for the equalizer weights in Figure 8.17 that is different from the corresponding notation in Figure 6.17 to emphasize the fact that the equalizer in Figure 8.17 also incorporates matched filtering.
The adaptation may be achieved by observing the error between the desired pulse shape and the actual pulse shape at the equalizer output, measured at the sampling instants, and then using this error to estimate the direction in which the tap weights of the equalizer should be changed so as to approach an optimum set of values.