All-digital bang-bang phase-locked loops (PLLs) are prone to spurious output tones. In this reported work, a programmable bit-sequence is generated and used as a time-mode dithering signal. The bit-stream can be programmed to emulate the required order of a ΣΔ modulator operating in the time-domain without need for any hardware change. This method leads to a low-cost, compact, low-power and versatile phase noise-shaping scheme.

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Journal Electronics Letters
Bashiri, S., Aouini, S., Plett, C, & Ben-Hamida, N. (2011). Spur reduction in bang-bang PLLs using programmable bit-stream. Electronics Letters, 47(19), 1070–1072. doi:10.1049/el.2011.2226