Discrete Synthesis Using Staggered Nyquist Regions Avoids Guard Band Induced Holes Near a Nyquist Limit

Staggered consecutive Nyquist regions associated with differing DAC synthesizer clock rates (FCLK) avoids spectrum lost through disjoint guard bands at the end of or between adjacent Nyquist regions. The staggered consecutive Nyquist regions overlap by an amount at least as much as is consumed by the guard bands. Selectable reconstruction filters associated with each Nyquist region and its DAC clock rate are used to enforce the staggered Nyquist regions and their various guard bands. For example, and neglecting guard bands, an initial raw band of operation RB1 may be the First Nyquist region for a basic sampling frequency Fs. An adjacent raw band of operation RB2 that overlaps RB1 may be the Second Nyquist region for an alternate sampling frequency 2Fs/3. An adjacent raw band of operation RB3 that overlaps RB2 may be the Second Nyquist region for the basic sampling frequency Fs. These raw bands overlap: In this example the smallest overlap is Fs/6. We then select widths for guard bands that do not exceed Fs/12. Additional DAC clock rates and reconstruction filters may be used to operate in still higher Nyquist regions.