Digital Arithmetic

Extension to Hyperbolic and Linear Coordinates

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11.5

11~5.1

y

/

xR' YR)

~/ ,'

n) ~ X

FIGURE 11.7 Rotation in hyperbolic coordinate system.

Extension to Hyperbolic and Linear Coordinates

The algorithm described in the previous sections is for circular coordinates. We

now consider its extension to hyperbolic coordinates and linear coordinates.

Hyperbolic Coordinates

Similarly as for circular coordinates, as shown in Figure 11.7, an hyperbolic

rotation by angle 0 is described by

[xR]_ [cosh0

sinho]Fxin ]

11.26

YR sinh 0

cosh 0 k

Y in

Notice the change in sign in the upper-right element with respect to the circular

case. Consequently, ...