Single-Bit All-Digital Frequency Synthesis Using Homodyne Sigma-Delta Modulation

All-digital frequency synthesis using bandpass sigma-delta modulation to achieve spectrally clean single-bit output is presented and mathematically analyzed resulting in a complete model to predict the stability and output spectrum. The quadrature homodyne filter architecture is introduced resulting in efficient implementations of carrier-frequency-centered bandpass filters for the modulator. A multiplierless version of the quadrature homodyne filter architecture is also introduced to reduce complexity while maintaining a clean in-band spectrum. MATLAB and SIMULINK simulation results present the potential capabilities of the synthesizer architectures and validate the accuracy of the developed theoretical framework.