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As interest grew in the late 1990s for broadband access to data services over cable television networks, CableLabs , working closely with the ITU and major hardware vendors, crafted a standard known as the Data Over Cable Service Interface Specification (DOCSIS). The standard is designed to ensure interoperability among cable modems as well as to assuage concerns about data security over shared cable systems. DOCSIS has done a great deal to resolve marketplace issues. Under the standards, CableLabs crafted a cable modem certification standard called DOCSIS 1.0 that guarantees that modems carrying the certification will interoperate with any head-end equipment, are ready to be sold in the retail market, and will interoperate with other certified cable modems. Engineers from Askey, Broadcom, Cisco Systems, Ericsson, General Instrument, Motorola, Philips, 3Com, Panasonic, Digital Furnace, Thomson, Terayon, Toshiba, and Com21 participated in the development effort. The DOCSIS 1.1 specification was released in April 1999 and included two additional functional descriptions that began to be implemented in 2000. The first specification details procedures for guaranteed bandwidth as well as a specification for Quality of Service (QoS) guarantees. The second specification is called Baseline Privacy Interface Plus (BPI ) and it enhances the current security capability of the DOCSIS standards through the addition of digital certificate-based authentication and support for multicast services to customers. Although the DOCSIS name is in widespread use, CableLabs now refers to the overall effort as the CableLabs Certified Cable Modem Project.

9-11 Peak-to-peak (pk-pk)

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Two ac waves might have exactly the same frequency, but they can still have different effects because they are out of sync with each other. This is especially true when ac waves are added together to produce a third, or composite, signal. If two ac waves have the same frequency and the same magnitude, but differ in phase by 180 degrees (a half cycle), they will cancel each other out, and the net signal will be zero. If the two waves are in phase, the resulting signal will have the same frequency, but twice the amplitude of either signal alone. If two ac waves have the same frequency but different magnitudes, and differ in phase by 180 degrees, the resulting composite signal will have the same frequency as the originals, and a magnitude equal to the difference between the two. If two such waves are exactly in phase, the composite will have the same frequency as the originals, and a magnitude equal to the sum of the two. If the waves have the same frequency but differ in phase by some odd amount such as 75 degrees or 310 degrees, the resulting signal will have the same frequency, but will not have the same waveshape as either of the original signals. The variety of such cases is infinite. Household utility current, as you get it from wall outlets, consists of a 60-Hz sine wave with just one phase component. But the energy is transmitted over long distances in three phases, each differing by 120 degrees or 1/3 cycle. This is what is meant by three-phase ac. Each of the three ac waves carries 1/3 of the total power in a utility transmission line.

Root-Mean-Square Amplitude Often, it is necessary to express the effective amplitude of an ac wave This is the voltage, current, or power that a dc source would have to produce in order to have the same general effect as a given ac wave When you say a wall outlet provides 117 V, you mean 117 effective volts This is not the same as the peak or peak-to-peak voltage The most common expression for effective ac intensity is called the root-mean-square (rms) amplitude The terminology reflects the fact that the ac wave is mathematically operated on by taking the square root of the mean (average) of the square of all its instantaneous amplitudes In the case of a perfect ac sine wave, the rms value is equal to 0707 times the peak value, or 0354 times the peak-to-peak value Conversely, the peak value is 1.

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Amplitude is sometimes called magnitude, level, or intensity. Depending on the quantity being measured, the magnitude of an ac wave might be given in amperes (for current), volts (for voltage), or watts (for power).

414 times the rms value, and the peak-to-peak value is 2828 times the rms value The rms amplitude is often specified when talking about utility ac, radio-frequency (RF) ac, and audio-frequency (AF) ac For a perfect square wave, the rms value is the same as the peak value, and half the peak-to-peak value For sawtooth and irregular waves, the relationship between the rms value and the peak value depends on the exact shape of the wave But the rms value is never greater than the peak value for any type of ac wave Superimposed DC Sometimes a wave has components of both ac and dc The simplest example of an ac/dc combination is illustrated by the connection of a dc voltage source, such as a battery, in series with an ac voltage source, like the utility mains An example is shown in the schematic diagram of Fig 9-12.

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