![]() ![]() The filters can be upconverted using the following code: Where and \(-\phi)\ is the center frequency of the band-pass filter. The positive and negative frequency complex upconverted band-pass filter is given by Rather than use a cosine to perform the upconversion, a complex-exponential will allow the selection of one of the two BPF responses as in Figure 8. Where in ( 4) uses real upconversion complex upconversion can be used to translate a LPF into complex band-pass. Such an even-symmetric respond may be acceptable when processing real signals but much of DSP is done at complex baseband and non-symmetric band-pass filters may be required in the case of channelizers, for selecting specific signals from a broad spectrum or applying a Hilbert transform. Real signals have an evenly symmetric magnitude, that isĮquation ( 5) is the reason why has a passband in both the positive frequencies and negative frequencies.
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