Principles of Cascaded Diophantine Frequency Synthesis

Cascaded diophantine frequency synthesis (CDFS) is a new systematic methodology for developing and programming modular multi-loop frequency synthesizers with high frequency resolution, fast frequency hopping and potentially very low spurs, especially near-in. CDFS results in significantly reduced frequency ranges of the intermediate signals in the frequency mixing stages compared to the predecessor, diophantine frequency synthesis methodology. This simplifies the design and frequency planing for the synthesizer and allows for improved spectral purity of the output signal.