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signal: a typical chipping code rate is 12288 Mc/s (megachips per second) while typical baseband user data rates are in the 9 14 kb/s range The coding operation thus spreads the source signal across the wider bandwidth of the chipping code The ratio between the chip rate and the baseband bit rate is called processing gain, and typical values are above 80 The key property of CDMA chipping codes is that a user signal, coded with a particular code and transmitted by the sender, can be recovered at the receiving end by decoding (despreading) it with the same code, even when sharing the RF band with transmissions meant for other receivers User signals spread by a code other than the one used for despreading produce either none or a small amount of interference.

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For example, assume that a BS is involved in three simultaneous connections and transmits user signals to MS1, MS2, and MS3, spread by chipping codes C1, C2, and C3, respectively Each MS receives the sum of the three user signals, because it is tuned to the same RF band, but is able to extract its intended signal by decoding the composite signal with its particular chipping code Coding and decoding operations are conceptually multiplications (performed at the rate of the chipping codes) with binary 1 s coded as 1 s and binary 0 s coded and 1 s In some stages of the process, multiplication may be implemented as modulo 2 addition (exclusive OR) on standard binary data (1 s and 0 s), which yields equivalent results The next section describes coding and decoding as multiplication Coding/Decoding Example Figure 13.

1-1 shows coding for transmissions from sources (a) and (b), and decoding at the destination for (a) Sa (10100) and Sb (11001) are the source signals; Ca (0101) and Cb (0011) are the corresponding chipping codes SPa and SPb are the spread signals, and TS is the sum of SPa and SPb (composite signal) received at the destination for (a) At the destination, TS is decoded with Ca, producing signal Da Da is integrated (added cumulatively chip-by-chip) over each chipping code cycle, producing signal ISa ISa is then converted to binary values, resulting in the received signal bISa, which is equal to Sa as intended Several remarks about this example are in order: 1 Signals SPa and SPb are assumed to be the same at the transmitter(s) and at the receiver; that is, the transmitted signals are received accurately 2.