Phase and amplitude error correction in a transmission circuit

A method for correcting phase and amplitude errors in a transmission circuit comprising:

• generating an input vector modulated across a modulation bandwidth comprising a plurality of modulation frequencies, the input vector is associated with a plurality of time-variant amplitudes and a plurality of time-variant group delays each corresponding to a respective one of the plurality of modulation frequencies;
• and
• applying a frequency equalization filter to the input vector to thereby modify the plurality of time-variant amplitudes and the plurality of time-variant group delays and generate a frequency-equalized input vector associated with:
• an equalized time-variant amplitude that is identical in each of the plurality of modulation frequencies;
• an equalized time-variant group delay that is identical in each of the plurality of modulation frequencies and
• determining, based on the frequency-equalized input vector, a phase correction term configured to correct a phase error caused by the equalized time-variant group delay in a selected one of the plurality of modulation frequencies;
• and
• applying the determined phase correction term to the frequency-equalized input vector to generate a frequency-phase-equalized signal corresponding to the selected one of the plurality of modulation frequencies.

A transmission circuit comprising a transceiver circuit, the transceiver circuit comprising:

• a digital processing circuit configured to generate an input vector modulated across a modulation bandwidth comprising a plurality of modulation frequencies, the input vector is associated with a plurality of time-variant amplitudes and a plurality of time-variant group delays each corresponding to a respective one of the plurality of modulation frequencies;
• a frequency equalizer circuit configured to apply a frequency equalization filter to the input vector to thereby modify the plurality of time-variant amplitudes and the plurality of time-variant group delays and generate a frequency-equalized input vector associated with:
• an equalized time-variant amplitude that is identical in each of the plurality of modulation frequencies;
• and
• an equalized time-variant group delay that is identical in each of the plurality of modulation frequencies and
• a phase correction circuit configured to:
• determine, based on the frequency-equalized input vector, a phase correction term configured to correct a phase error caused by the equalized time-variant group delay in a selected one of the plurality of modulation frequencies;
• and
• apply the determined phase correction term to the frequency-equalized input vector to generate a frequency-phase-equalized signal corresponding to the selected one of the plurality of modulation frequencies.