A numerically-controlled oscillator (NCO) includes a phase accumulator (PA) which has a first input adapted to receive a phase increment, a second input adapted to receive a clock signal, and a third input adapted to receive a reset signal. The PA provides an instantaneous phase at an output. The NCO includes a dithered splitter which has an input coupled to receive the instantaneous phase. The dithered splitter dithers the instantaneous phase using a pseudo-random binary sequence (PRBS) and provides a dithered course phase and a dithered fine phase. The NCO includes a polynomial approximation unit which has a first input coupled to receive the dithered course phase and a second input coupled to receive the dithered fine phase. The polynomial approximation unit provides a sequence of numbers representing a discrete sinusoidal signal.

Some embodiments include a high voltage waveform generator comprising: a generator inductor; a high voltage nanosecond pulser having one or more solid state switches electrically and/or inductively coupled with the generator inductor, the high voltage nanosecond pulser configured to produce a pulse burst having a burst period, the pulse burst comprising a plurality of pulses having different pulse widths; and a load electrically and/or inductively coupled with the high voltage nanosecond pulser, the generator inductor, and the generator capacitor, the voltage across the load having an output pulse with a pulse width substantially equal to the burst period and the voltage across the load varying in a manner that is substantially proportional with the pulse widths of the plurality of pulses.

Some embodiments include a high voltage waveform generator comprising: a generator inductor; a high voltage nanosecond pulser having one or more solid state switches electrically and/or inductively coupled with the generator inductor, the high voltage nanosecond pulser configured to produce a pulse burst having a burst period, the pulse burst comprising a plurality of pulses having different pulse widths; and a load electrically and/or inductively coupled with the high voltage nanosecond pulser, the generator inductor, and the generator capacitor, the voltage across the load having an output pulse with a pulse width substantially equal to the burst period and the voltage across the load varying in a manner that is substantially proportional with the pulse widths of the plurality of pulses.

Some embodiments include a high voltage waveform generator comprising: a generator inductor; a high voltage nanosecond pulser having one or more solid state switches electrically and/or inductively coupled with the generator inductor, the high voltage nanosecond pulser configured to produce a pulse burst having a burst period, the pulse burst comprising a plurality of pulses having different pulse widths; and a load electrically and/or inductively coupled with the high voltage nanosecond pulser, the generator inductor, and the generator capacitor, the voltage across the load having an output pulse with a pulse width substantially equal to the burst period and the voltage across the load varying in a manner that is substantially proportional with the pulse widths of the plurality of pulses.

Some embodiments include a high voltage waveform generator comprising: a generator inductor; a high voltage nanosecond pulser having one or more solid state switches electrically and/or inductively coupled with the generator inductor, the high voltage nanosecond pulser configured to produce a pulse burst having a burst period, the pulse burst comprising a plurality of pulses having different pulse widths; and a load electrically and/or inductively coupled with the high voltage nanosecond pulser, the generator inductor, and the generator capacitor, the voltage across the load having an output pulse with a pulse width substantially equal to the burst period and the voltage across the load varying in a manner that is substantially proportional with the pulse widths of the plurality of pulses.

Some embodiments include a high voltage waveform generator comprising: a generator inductor; a high voltage nanosecond pulser having one or more solid state switches electrically and/or inductively coupled with the generator inductor, the high voltage nanosecond pulser configured to produce a pulse burst having a burst period, the pulse burst comprising a plurality of pulses having different pulse widths; and a load electrically and/or inductively coupled with the high voltage nanosecond pulser, the generator inductor, and the generator capacitor, the voltage across the load having an output pulse with a pulse width substantially equal to the burst period and the voltage across the load varying in a manner that is substantially proportional with the pulse widths of the plurality of pulses.

Some embodiments include a high voltage waveform generator comprising: a generator inductor; a high voltage nanosecond pulser having one or more solid state switches electrically and/or inductively coupled with the generator inductor, the high voltage nanosecond pulser configured to produce a pulse burst having a burst period, the pulse burst comprising a plurality of pulses having different pulse widths; and a load electrically and/or inductively coupled with the high voltage nanosecond pulser, the generator inductor, and the generator capacitor, the voltage across the load having an output pulse with a pulse width substantially equal to the burst period and the voltage across the load varying in a manner that is substantially proportional with the pulse widths of the plurality of pulses.

Some embodiments include a high voltage waveform generator comprising: a generator inductor; a high voltage nanosecond pulser having one or more solid state switches electrically and/or inductively coupled with the generator inductor, the high voltage nanosecond pulser configured to produce a pulse burst having a burst period, the pulse burst comprising a plurality of pulses having different pulse widths; and a load electrically and/or inductively coupled with the high voltage nanosecond pulser, the generator inductor, and the generator capacitor, the voltage across the load having an output pulse with a pulse width substantially equal to the burst period and the voltage across the load varying in a manner that is substantially proportional with the pulse widths of the plurality of pulses.

Some embodiments include a high voltage waveform generator comprising: a generator inductor; a high voltage nanosecond pulser having one or more solid state switches electrically and/or inductively coupled with the generator inductor, the high voltage nanosecond pulser configured to produce a pulse burst having a burst period, the pulse burst comprising a plurality of pulses having different pulse widths; and a load electrically and/or inductively coupled with the high voltage nanosecond pulser, the generator inductor, and the generator capacitor, the voltage across the load having an output pulse with a pulse width substantially equal to the burst period and the voltage across the load varying in a manner that is substantially proportional with the pulse widths of the plurality of pulses.

Some embodiments include a high voltage waveform generator comprising: a generator inductor; a high voltage nanosecond pulser having one or more solid state switches electrically and/or inductively coupled with the generator inductor, the high voltage nanosecond pulser configured to produce a pulse burst having a burst period, the pulse burst comprising a plurality of pulses having different pulse widths; and a load electrically and/or inductively coupled with the high voltage nanosecond pulser, the generator inductor, and the generator capacitor, the voltage across the load having an output pulse with a pulse width substantially equal to the burst period and the voltage across the load varying in a manner that is substantially proportional with the pulse widths of the plurality of pulses.