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Data signaling rate
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==Properties== # The DSR is usually expressed in [[bits per second]]. # The data [[signal (information theory)|signaling]] rate is given by <math>\sum_{i = 1}^{m} \frac{\log_2 {n_i} }{T_i}</math> where ''m'' is the number of parallel channels, ''n<sub>i</sub>'' is the number of significant conditions of the [[modulation]] in the ''i''-th [[Communication channel|channel]], and ''T<sub>i</sub>'' is the [[unit interval (data transmission)|unit interval]], expressed in seconds, for the ''i''-th channel. # For [[serial transmission]] in a single channel, the DSR reduces to (1/''T'')log<sub>2</sub>''n''; with a two-condition modulation, i. e. ''n'' = 2, the DSR is 1/''T'', according to [[Hartley's law]]. # For [[parallel transmission]] with equal unit intervals and equal numbers of significant conditions on each channel, the DSR is (''m''/''T'')log<sub>2</sub>''n''; in the case of a two-condition [[modulation]], this reduces to ''m''/''T''. # The DSR may be expressed in [[baud]]s, in which case, the factor log<sub>2</sub>''n<sub>i</sub>'' in the above summation formula should be deleted when calculating bauds. # In synchronous [[binary numeral system|binary]] [[signal (information theory)|signaling]], the DSR in [[bits per second]] may be numerically the same as the [[modulation rate]] expressed in bauds. [[Signal (information theory)|Signal]] processors, such as four-[[phase (waves)|phase]] modems, cannot change the DSR, but the modulation rate depends on the [[telephone line|line]] modulation scheme, in accordance with Note 4. For example, in a 2400 bit/s 4-phase sending [[modem]], the signaling rate is 2400 bit/s on the [[serial communications|serial]] input side, but the modulation rate is only 1200 bauds on the 4-phase output side.
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