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so we need to think about what the bandwidth of a pulse stream is when we were describing analog modulation we sort of naturally talked about it as a spectrum or a series of frequencies that created our signal but when we talk about digital modulation were thinking more about just a stream of ones and zeros or pulses and we know that a square pulse in the time domain extends as a sinc function in the frequency domain and that the bandwidth and the frequency domain if you will is tied to the period here TB ties directly right here to the bandwidth but you notice this really isnt our bandwidth because weve got all of this other stuff here and this is because the sharp transitions that occur in if think about an ideal bit stream actually turn into an infinite bandwidth which is a real problem because the spectrum as it is now is very crowded and if you think about the olden days with FM radio you know the reason you couldnt put more stations on the dial was because you needed a certai
