Principles of Digital Design by Daniel D. Gajski

By Daniel D. Gajski

Designed to supply a radical realizing of design's primary rules with no requiring scholars to memorize loads of possibly complicated technological information. DLC: built-in circuits - layout - facts processing.

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Video is a function of t, so Video(t) is an element in its range ImageSet. Since elements in ImageSet themselves are functions, Video(t) is a function. The domain of Video(t) is the product set DiscreteVerticalSpace × HorizontalSpace, so (Video(t))(x, y) is the value of this function at the point (x, y) in its domain. This value is an element of Intensity3 . 6) AltVideo is a function of (t, x, y) and so AltV ideo(t, x, y) is an element in its range, Intensity3 . 6) asserts that for all values of t, x, y the two sides are the same.

First, radio spectrum is scarce. Frequencies are allocated by regulatory bodies, often constrained by international treaties. Finding frequencies for new technologies is difficult. Thus, wireless communication devices have to be extremely efficient in their use the available frequencies. Second, the power available to drive a cellular phone is limited. Cellular phones must operate for reasonably long periods of time using only small batteries that fit easily within the handset. Although battery technology has been improving, the power that these batteries can deliver severely limits the range of a cellular phone (how far it can be from a base station) and the processing complexity (the microprocessors in a cellular phone consume considerable power).

These defects may obscure some of the pits, or fool the reading laser into detecting a pit where there is none. To guard against this, a very clever error-correcting code called a Reed-Solomon code is used. The coding process can be viewed as a function Encoding: BitStreams → RedundantBitStreams. where RedundantBitStreams ⊂ BitStreams is the set of all possible encoded bit sequences. These bit sequences are redundant, in that they contain more bits than are necessary to represent the original bit sequence.

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