Abstract: Systems and methods for generating gapped signals comprising a Delta Sigma Modulator (DSM) configured to generate gapping control signals used to control gap removal rates of an associated gapping unit. The DSM is configured to generate a gapping control signal based on a value of an overflow resulted from performing adding a first number with a remainder of a stored value modulo a second number. The gap removal rates as well as the gap removal resolutions can be adjusted by selecting appropriate values of the first number, the stored value, and the second number. The gapping resolution can be a portion of a pulse. The first number and the second number may be derived from an intended frequency ratio between a gapped signal and a corresponding input signal. The gapping unit may comprise a gapping circuit or a multi-modulus divider.

Abstract: Systems and methods for frequency synthesis using a gapper and a multi-modulus divider. A frequency synthesizer may comprise a gapper, a multi-modulus divider and a Phase Locked Loop (PLL). When a frequency of an output signal is intended to be greater than a corresponding input signal, a factor can be borrowed by the gapper from the divider to generate a rational divide ratio G that is greater 1 in order for the gapper to be capable of performing the division by G. The PLL is capable of multiplying a gapped signal output from the first integer divider and attenuating jitter from the gapped signal.

Abstract: Systems and methods for frequency synthesis using a gapper and a multi-modulus divider. A frequency synthesizer may comprise a gapper, a multi-modulus divider and a Phase Locked Loop (PLL). When a frequency of an output signal is intended to be greater than a corresponding input signal, a factor can be borrowed by the gapper from the divider to generate a rational divide ratio G that is greater 1 in order for the gapper to be capable of performing the division by G. The PLL is capable of multiplying a gapped signal output from the first integer divider and attenuating jitter from the gapped signal.

Abstract: Systems and methods for generating gapped signals comprising a Delta Sigma Modulator (DSM) configured to generate gapping control signals used to control gap removal rates of an associated gapping unit. The DSM is configured to generate a gapping control signal based on a value of an overflow resulted from performing adding a first number with a remainder of a stored value modulo a second number. The gap removal rates as well as the gap removal resolutions can be adjusted by selecting appropriate values of the first number, the stored value, and the second number. The gapping resolution can be a portion of a pulse. The first number and the second number may be derived from an intended frequency ratio between a gapped signal and a corresponding input signal. The gapping unit may comprise a gapping circuit or a multi-modulus divider.

Abstract: Systems and methods for frequency synthesis using a gapper. A frequency synthesizer may comprise a gapper, a first integer divider and a Phase Locked Loop (PLL). When a frequency of an output signal is intended to be greater than a corresponding input signal, a factor can be borrowed by the gapper from the first integer divider to generate a rational divide ratio G that is greater 1 in order for the gapper to be capable of performing the division by G. The PLL is capable of multiplying a gapped signal output from the first integer divider and attenuating jitter from the gapped signal.

Abstract: Systems and methods for frequency synthesis using a gapper. A frequency synthesizer may comprise a gapper, a first integer divider and a Phase Locked Loop (PLL). When a frequency of an output signal is intended to be greater than a corresponding input signal, a factor can be borrowed by the gapper from the first integer divider to generate a rational divide ratio G that is greater 1 in order for the gapper to be capable of performing the division by G. The PLL is capable of multiplying a gapped signal output from the first integer divider and attenuating jitter from the gapped signal.