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Pulse shape filtering is used to constrain the signal bandwidth (with what would otherwise be a Sinc function in frequency given the rectangular pulse) and as a Nyquist filter done in such a way as to not introduce inter-symbol interference. For CDMA and specifically direct-sequence spread spectrum in many cases we have no concern for spectral containment (...


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The spectrum is that of the base pulse used in the modulation, so in this case a rectangular pulse. A single rectangular pulse in time, as given by the Fourier Transform, is a Sinc in Frequency with the first nulls spaced at $1/T$ away from the center of the Sinc, where $T$ refers to the duration of the pulse in time. (Just as that shown by the OP). If the ...


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