Systems and methods for pulse width modulation shaping

A method of generating an AC signal, having a positive half-cycle and a negative half-cycle, each having a respective start-moment and comprising a plurality of pulse width modulated, PWM, pulses each having a respective individually designated pulse width, the method comprising:

• for each of the positive half-cycle and the negative half-cycle:
• determining a pulse width for a specified PWM pulse to be generated;
• determining a first measurement of a ratio between a PWM clock signal frequency and a second clock signal frequency;
• configuring a bit transition to propagate through a propagation delay circuit and determining a second measurement of a number of propagation delay elements through which the bit transition propagates within a single a cycle of the second clock signal;
• determining pulse shaping data comprising a first number of cycles of the second clock signal and a second number of the propagation delay elements to be utilised together to produce the pulse width for the specified PWM pulse as a function of the first measurement and the second measurement;
• and utilising the determined first number of cycles of the second clock signal and the determined second number of propagation delay elements to synthesise the specified PWM pulse;
• the method further comprising providing a timing offset between a start of a first PWM pulse in the positive half-cycle relative to a start-moment of the positive half-cycle, and a start of a first PWM pulse in the negative half-cycle relative to a start-moment of the negative half-cycle.