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Abstract

A non-recursive half-band filter having a filter length N and complex coefficients for receiving either a real input signal s(kT) or a complex input signal s(2kT) and for processing and converting the received input signals into either a complex output signal s(2kT) or a real output signal s(kT) wherein the complex coefficients operate at a function of h(l) where l=-(N-1)/2 to (N-1)/2 to (N-1)/2 and the filter length N is odd. As a result it is possible to convert a real input signal into a complex output signal, by modulating its pulse response to a complex carrier of the frequency equal to 1/4 or 3/4 of the sampling frequency, where the null phase of this frequency is an integer multiple of .pi./2. It is also possible to convert a complex input signal into a real output signal, by modulating its pulse frequency to the complex carrier of a frequency signal to the input sampling frequency or half thereof, where the null phase of this frequency is an integer multiple of .pi./2.

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First Claim