Abstract: A method for processing a sinusoidal carrier frequency signal includes generating a series of samples by sampling the carrier frequency signal at a system sampling rate until a wrap up sample is yielded. The wrap up sample position is within a predetermined distance of an end of a cycle of the carrier frequency signal and, the series of samples constitute a digital representation of the cycle of the carrier frequency signal. A position of each of the series of samples is adjusted by an amount proportional to the wrap up sample position from the cycle end and the adjusted samples are stored in memory.

Abstract: A method and apparatus for modulating an input signal comprised of an ordered series of samples separated by a substantially constant period T comprising the steps of providing a carrier signal, the carrier signal comprised of a series of samples separated by a substantially constant period T, wherein one of the carrier samples corresponds to each of the input signal samples, selecting a plurality of N successive samples from the series of input signal samples, the series of samples having an input order, for each of the N selected samples in parallel, multiplying the selected sample by the corresponding carrier sample and recombining the N multiplied samples while maintaining the input order.

Abstract: The present application describes a method and filter for shaping a series of pulses spaced in time for subsequent transmission in a communications system, each of the pulses having a magnitude comprising the steps of providing a generic shaped pulse, for each pulse in the series, generating a shaped pulse by scaling the generic shaped pulse by an amount proportional to the magnitude, wherein at least a portion of each generated pulse overlaps in time with at least a portion of at least one subsequent generated pulse, and combining the overlapping portions of the generated pulses.

Abstract: The present application describes a method and filter for shaping a series of pulses spaced in time for subsequent transmission in a communications system, each of the pulses having a magnitude comprising the steps of providing a generic shaped pulse, for each pulse in the series, generating a shaped pulse by scaling the generic shaped pulse by an amount proportional to the magnitude, wherein at least a portion of each generated pulse overlaps in time with at least a portion of at least one subsequent generated pulse, and combining the overlapping portions of the generated pulses.

Abstract: The present application describes a method and filter for shaping a series of pulses spaced in time for subsequent transmission in a communications system, each of the pulses having a magnitude comprising the steps of providing a generic shaped pulse, for each pulse in the series, generating a shaped pulse by scaling the generic shaped pulse by an amount proportional to the magnitude, wherein at least a portion of each generated pulse overlaps in time with at least a portion of at least one subsequent generated pulse, and combining the overlapping portions of the generated pulses.