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Consider the actual frequency response you really need for your "square pulse". A true square pulse requires infinite frequency, so ultimately your pulse will have a finite bandwidth and with that no longer truly be "square". In order to interpolate with zero stuffing, you must have a transition band to implementation a realizable ...


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Map 0 to 1 and 1 to -1 on both the reference sequence and the received bit sequence, and then correlate; an inversion will also just invert the sign. If that mapping is hard to do on the received signal, because it's not yet decided, just use an appropriate high-pass filter: that would convert your (noisy) monopolar sighal to a bipolar one, centered around ...


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