Translations:Feedback filters/2/en

Let us describe the constant box of the basic feedback filter. The input to the feedback system is the wavelet $w_{n}$, where n denotes time. According to our convention, the time index n is taken at discrete-time instants spaced one unit apart. We now analyze the feedback filter by tracing the path around the loop. We start at the beginning of the feedback loop (point A in Figure 12). We see that the filter output $y_{n}$ is fed back through the loop and enters the constant box as its input. The constant box carries out a constant multiplication. That is, the output of the constant box is equal to c times its input, where c is a fixed number. Thus, the impulse-response function of the constant box is the wavelet $\left(c,{0,0,0,\ }\dots \right)$, so its Z-transform is