A digital up-converter comprising: a plurality of channels, each of the plurality of channels comprising: a plurality of combinators connected together in series, each of the plurality of combinators (64, 66, 68) comprising: a summation element (76, 80, 84) having a positive input for receiving a digital baseband signal, a negative input, and an output; and a delay element (78, 82, 86) having an input for receiving the digital baseband signal, and an output coupled to the negative input of the summation element (76, 80, 84); a first up-sampler having an input coupled to the plurality of combinators, and an output; a plurality of differentiators connected together in series, a first differentiator of the plurality of differentiators having an input coupled to the output of the first up-sampler, wherein each differentiator (70, 72, 74) comprises: a summation element (88, 92, 96) having a positive input, a negative input, and an output; and a delay element (90, 94, 98) having an input coupled to the output of the summation element (88, 92, 96), and an output coupled to the negative input of the summation element (88, 92, 96); a second up-sampler having an input coupled to the output of a last differentiator of the plurality of differentiators, and an output; and a low-pass filter having an input coupled to the output of the second up-sampler, and an output for providing an up-converted digital signal. a plurality of channels, each of the plurality of channels comprising: a plurality of combinators connected together in series, each of the plurality of combinators (64, 66, 68) comprising: a summation element (76, 80, 84) having a positive input for receiving a digital baseband signal, a negative input, and an output; and a delay element (78, 82, 86) having an input for receiving the digital baseband signal, and an output coupled to the negative input of the summation element (76, 80, 84); a summation element (76, 80, 84) having a positive input for receiving a digital baseband signal, a negative input, and an output; and a delay element (78, 82, 86) having an input for receiving the digital baseband signal, and an output coupled to the negative input of the summation element (76, 80, 84); a first up-sampler having an input coupled to the plurality of combinators, and an output; a plurality of differentiators connected together in series, a first differentiator of the plurality of differentiators having an input coupled to the output of the first up-sampler, wherein each differentiator (70, 72, 74) comprises: a summation element (88, 92, 96) having a positive input, a negative input, and an output; and a delay element (90, 94, 98) having an input coupled to the output of the summation element (88, 92, 96), and an output coupled to the negative input of the summation element (88, 92, 96); a summation element (88, 92, 96) having a positive input, a negative input, and an output; and a delay element (90, 94, 98) having an input coupled to the output of the summation element (88, 92, 96), and an output coupled to the negative input of the summation element (88, 92, 96); a second up-sampler having an input coupled to the output of a last differentiator of the plurality of differentiators, and an output; and a low-pass filter having an input coupled to the output of the second up-sampler, and an output for providing an up-converted digital signal.