Method and apparatus for pilot-aided carrier acquisition of vestigial sideband signal

A receiver which comprises:

• a tuner configured to receive a sideband transmission signal and configured to convert the sideband transmission signal to an intermediate frequency (IF) signal;
• a digital detection module which includes:
• an analog-to-digital converter coupled to receive the IF signal and configured to sample the signal to produce a digital IF signal;
• a Hilbert transform filter coupled to receive the digital IF signal and configured to produce a Hilbert transform signal;
• a complex multiplier coupled to receive the digital IF signal as a real part of an analytic sideband signal and the Hilbert transform signal as an imaginary part of the analytic sideband signal, wherein the complex multiplier is configured to multiply the analytic sideband signal with a complex operand signal to produce an analytic baseband signal;
• a linear carrier recovery loop coupled to receive an imaginary part of the analytic baseband signal and configured to provide the complex operand signal to the complex multiplier to minimize the energy of the imaginary part of the product signal;
• a matched filter coupled to receive the product signal and configured to produce a real part of a match-filtered baseband signal;
• and
• a decimator configured to receive the match-filtered baseband signal and configured to produce a decimated signal having one sample per symbol.

A receiver which comprises:

• a tuner configured to receive a sideband transmission signal and configured to convert the sideband transmission signal to an intermediate frequency (IF) signal;
• a digital detection module which includes:
• an analog-to-digital converter coupled to receive the IF signal and configured to sample the signal to produce a digital IF signal;
• a Hilbert transform filter coupled to receive the digital IF signal and configured to produce a Hilbert transform signal;
• a complex multiplier coupled to receive the digital IF signal as a real part of an analytic sideband signal and the Hilbert transform signal as an imaginary part of the analytic sideband signal, wherein the complex multiplier is configured to multiply the analytic sideband signal with a complex operand signal to produce an analytic baseband signal;
• and
• a linear carrier recovery loop coupled to receive an imaginary part of the analytic baseband signal and configured to provide the complex operand signal to the complex multiplier to minimize the energy of the imaginary part of the product signal, wherein the carrier recovery loop includes:
• a loop filter configured to receive the imaginary part of the analytic baseband signal, and configured to produce a phase increment signal, wherein the loop filter comprises:
• a first adder configured to add a sweep increment to the imaginary part of the analytic baseband signal scaled by a first coefficient to produce an integrator input signal;
• an integrator configured to integrate the integrator input signal to produce an integrated phase error signal;
• and
• a second adder configured to add the integrated phase error signal to the imaginary part of the analytic baseband signal scaled by a second coefficient to produce the phase increment signal;
• a numerically controlled oscillator (NCO) configured to receive the phase increment signal and configured to produce a current phase signal;
• and
• a lookup table configured to receive the current phase signal and configured to provide the complex operand signal to the complex multiplier.

A method of demodulating a sideband signal, wherein the method comprises:

• oversampling an intermediate frequency (IF) signal to obtain a digital IF signal;
• filtering the digital IF signal to obtain an analytic IF signal;
• inverting an imaginary part of the analytic IF signal;
• multiplying the analytic IF signal by a complex frequency signal to obtain an analytic baseband signal;
• and
• generating the complex frequency signal from a complex part of the analytic baseband signal to minimize energy of said complex part of the analytic baseband signal.

A method of demodulating a sideband signal, wherein the method comprises:

• oversampling an intermediate frequency (IF) signal to obtain a digital IF signal;
• filtering the digital IF signal to obtain an analytic IF signal;
• multiplying the analytic IF signal by a complex frequency signal to obtain an analytic baseband signal;
• generating the complex frequency signal from a complex part of the analytic baseband signal to minimize energy of said complex part of the analytic baseband signal;
• match-filtering the analytic baseband signal to obtain a match-filtered baseband signal;
• and
• decimating the match-filtered baseband signal to obtain a decimated signal having one sample per symbol.

A method of demodulating a sideband signal, wherein the method comprises:

• oversampling an intermediate frequency (IF) signal to obtain a digital IF signal;
• filtering the digital IF signal to obtain an analytic IF signal;
• multiplying the analytic IF signal by a complex frequency signal to obtain an analytic baseband signal;
• and
• generating the complex frequency signal from a complex part of the analytic baseband signal to minimize energy of said complex part of the analytic baseband signal, wherein the generating includes:
• loop filtering the imaginary part of the analytic baseband signal to obtain a phase increment signal, wherein the loop filtering includes:
• scaling the imaginary part of the analytic baseband signal by a first scale factor to obtain a first scaled signal;
• scaling the imaginary part of the analytic baseband signal by a second scale factor to obtain a second scaled signal;
• adding a sweep increment to the first scaled signal to obtain a summed signal;
• integrating the summed signal to obtain an integrated phase error signal;
• and
• adding the second scaled signal to the integrated phase error signal to obtain the phase increment signal;
• integrating the phase increment signal with a wrap-around counter to obtain a current phase signal;
• and
• determining a sine and cosine of the current phase signal to produce the complex frequency signal.

A digital detection module for selectably converting an upper or lower sideband signal into a baseband signal, wherein the module comprises:

• an analog-to-digital converter coupled to receive the sideband signal and configured to sample the sideband signal to produce a digital IF signal;
• a Hilbert transform filter coupled to receive the digital IF signal and configured to produce a Hilbert transform signal;
• a sideband selector coupled to receive the Hilbert transform signal and configured to produce an imaginary signal, wherein the imaginary signal equals the Hilbert transform signal when a sideband selector input is asserted, and wherein the imaginary signal equals an additive inverse of the Hilbert transform signal when the sideband selector input is de-asserted;
• a complex multiplier coupled to receive the digital IF signal as a real part of an analytic sideband signal and the imaginary signal as an imaginary part of the analytic sideband signal, wherein the complex multiplier is configured to multiply the analytic sideband signal with a complex operand signal to produce an analytic baseband signal;
• and
• a linear carrier recovery loop coupled to receive an imaginary part of the analytic baseband signal and configured to provide the complex operand signal to the complex multiplier to minimize the energy of the imaginary part of the product signal.