Abstract: In at least some embodiments, a system may comprise one or more devices configurable to communicate according to a first protocol that permits interpretation of transmitted symbols associated with a first time duration. The system may further comprise one or more devices configurable to communicate according to a second protocol that permits interpretation of transmitted symbols associated with multiple time durations. The one or more devices configurable to communicate according to the second protocol are operable to communicate using transmitted symbols associated with the first time duration and to communicate using transmitted symbols associated with a time duration that is not supported by the one or more devices configured to communicate according to the first protocol.

Abstract: In at least some embodiments, a system may comprise one or more devices configurable to communicate according to a first protocol that permits interpretation of transmitted symbols associated with a first time duration. The system may further comprise one or more devices configurable to communicate according to a second protocol that permits interpretation of transmitted symbols associated with multiple time durations. The one or more devices configurable to communicate according to the second protocol are operable to communicate using transmitted symbols associated with the first time duration and to communicate using transmitted symbols associated with a time duration that is not supported by the one or more devices configured to communicate according to the first protocol.

Abstract: In at least some embodiments, a system may comprise one or more devices configurable to communicate according to a first protocol that permits interpretation of transmitted symbols associated with a first time duration. The system may further comprise one or more devices configurable to communicate according to a second protocol that permits interpretation of transmitted symbols associated with multiple time durations. The one or more devices configurable to communicate according to the second protocol are operable to communicate using transmitted symbols associated with the first time duration and to communicate using transmitted symbols associated with a time duration that is not supported by the one or more devices configured to communicate according to the first protocol.

Abstract: A method and apparatus for deriving the channel estimation within a packet based transmission system having a predetermined number of tones (N), wherein each channel has a channel order (L). A first method includes precomputing, from the long sequence (X) of a received signal, a channel estimation matrix (R?1) having a dimension of width and length equal to the channel order (L) and storing one fourth of the channel estimation matrix (R?1) since the channel estimation matrix (R?1) is centrosymmetric. Advantageously, precomputing and storing a fourth of the channel estimation matrix (R?1) saves time and complexity. In a second method, the bit-width requirement for fixed precision requirements regarding implementation in hardware is reduced wherein a channel estimation matrix (G) having dimension of width equal to the number of tones (N) and length equal to the channel order (L) is precomputed and stored.

Abstract: The time domain equalizer filter of the present invention increases the data rate of a communications system while shortening a channel. Such a time domain equalizer filter is spectrally flat and the central tap is constrained to a non-zero real number. The error between the data filtered by the time domain equalizer filter and the data filtered by a target filter is reduced by adapting the time domain equalizer filter and the target filter. Adaptation of the time domain equalizer filter and the target filter may be accomplished by calculating new tap values for each filter while constraining the central tap of the time domain equalizer filter. In this way, the error between the data filtered by the time domain equalizer filter and the data filtered by the target filter may be reduced, so that a shortened channel may be provided. Accordingly, by shortening the channel and balancing the use of a spectrally flat time domain equalizer filter, the data rate of the communications system may be increased.

Abstract: A method and apparatus for deriving the channel estimation within a packet based transmission system having a predetermined number of tones (N), wherein each channel has a channel order (L). A first method includes precomputing, from the long sequence (X) of a received signal, a channel estimation matrix (R−1) having a dimension of width and length equal to the channel order (L) and storing one fourth of the channel estimation matrix (R−1) since the channel estimation matrix (R−1) is centrosymmetric. Advantageously, precomputing and storing a fourth of the channel estimation matrix (R−1) saves time and complexity.