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    PN Spreading and Despreading

    Definition: PN spreading is the use of a
    PN sequence to distribute or spread the power of a signal over a bandwidth which is much greater than the bandwidth of the signal itself. PN despreading is the process of tasking a signal in its wide PN spread bandwidth and reconstituting it in its own much narrower bandwidth.

    NOTE: PN sequences can be used in at least two ways to spread the signal power over a wide bandwidth. One is called Frequency Hopping (FH) in which the center frequency of a narrowband signal is shifted pseudo randomly using the PN code. A second method is called Direct Sequence (DS). In DS the signal power is spread over a wide bandwidth by in effect multiplying the narrow-band signal by a wideband PN sequence. When a wideband signal and a narrowband signal are multiplied together, the resulting product signal has a bandwidth about equal to the bandwidth of the wideband signal.

    PN Spreading and Despreading


    Application: IS-95 uses DS PN spreading to achieve several signaling advantages. These advantages include increasing the bandwidth so more users can be accommodated, creating near-orthogonal segments of PN sequences which provide multiple access separation on the reverse link and universal frequency reuse, increasing tolerance to interference, and allowing the multi-path to be resolved and constructively combined by the RAKE receivers. Multipath can be resolved and constructively combined only when the multi-path delay between multipath component signals is greater than the reciprocal of the signal bandwidth. Spreading, and thus increasing the signal band-width, allows resolution of signals with relatively small delay differences.

    PN Spreading and Despreading


    Example: Assume a signal s(t) has a symbol rate of 19,200 sym/sec. Then each symbol has a duration of 1/19200 or 52.0833 µsec. If s(t)is module 2 added to a PN sequence PN(t) with chips changing at a rate of 1.2288 Mchips/sec, each symbol will contain 1.2288x52.0833 or exactly 64 PN chips. The band-width of the signal is increased by a factor of 64 to 64x19,200 or 1.2288 MHz. The received spread signal has the form PN(t-t)s(t-t). At the receiver, a replica of the PN generator used at the transmitter produces the sequence PN(t-x) and forms the product . When the variable x is adjusted to equal t, PN(t-x)PN(t-t)s(t-t) equals PN(t-t)2s(t-t) which equals the desired symbol stream s(t-t) since PN(t-t)2 always equals one. This illustrates despreading.



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