Hardware divider

A method for dividing a first value by a second value in a pipelined circuit, comprising:

• providing the second value to a look-up table;
• retrieving an approximation of the reciprocal of the second value from the look-up table;
• non-iteratively applying an approximation function, implemented in hardware, to the retrieved approximation to produce a reciprocal value, the reciprocal value more accurately representing the reciprocal of the second value;
• and
• multiplying the reciprocal value and the first value to provide a value for a quotient of the first value and second value.

A frequency modulated (FM) demodulation system with amplitude compensation comprising:

• a differentiator assembly that determines at least one derivative associated with the FM signal;
• a combiner assembly that determines a demodulated signal and an instantaneous amplitude of the demodulated signal based on the FM signal and the associated at least one derivative of the FM signal;
• a pipeline divider comprising:
• a look-up table that provides a first output value in response to the instantaneous amplitude, the first output value corresponding to a first estimate of a reciprocal of the value of the instantaneous amplitude;
• an approximation component that provides a second output value corresponding to a second estimate of the reciprocal value for the value of the instantaneous amplitude as a function of the first output value and the value of the instantaneous amplitude, the look-up table being configured to provide the first output value within a predetermined error sufficient to enable the approximation component to improve the first estimate within a second predetermined error by the approximation component employing a single iteration of the function of the first output value and the value of the instantaneous amplitude;
• and
• a multiplier that multiplies the second output value and the demodulated signal to produce a normalized signal corresponding to the quotient of the instantaneous amplitude and demodulated signal.