Mapping a transmission stream in a virtual baseband to a physical baseband with equalization

A method, comprising:

• receiving, by a spectrum virtualization module of a wireless device, a receive signal from a radio front-end of the wireless device, the receive signal received by the wireless device on one or more allocated physical transmission bands and including a receive symbol;
• performing, by the spectrum virtualization module, an N-point fast Fourier transform on time-domain samples of the receive symbol to produce N reception components, wherein N is an integer that is not less than one;
• equalizing, by the spectrum virtualization module, the N reception components to compensate for channel distortion;
• mapping, by the spectrum virtualization module, M of the N compensated reception components that correspond to the one or more allocated physical transmission bands to sub-carriers of a virtual frequency band, wherein M is an integer that is not less than one;
• and
• passing, by the spectrum virtualization module, time-domain samples associated with the M mapped compensated reception components to a wireless physical layer protocol module.

A wireless device, comprising:

• a processor;
• a memory;
• a radio front-end configured to wirelessly transmit and receive on a physical frequency band;
• a physical layer protocol module stored in the memory and executable by the processor to generate a transmission stream for transmission on a virtual transmission band;
• a decomposition/recomposition module stored in the memory and executable by the processor to map M transmission components associated with the transmission stream to sub-carriers associated with one or more portions of the physical frequency band that are allocated for transmission, to perform an N-point inverse fast Fourier transform on the mapped M transmission components to produce time-domain samples, and to generate a transmission signal that includes a transmission symbol for transmission by the radio front-end by appending a cyclic prefix to the time-domain samples, wherein M is an integer that is not less than one and wherein N is an integer that is not less than one;
• a bandwidth scaling module configured to scale the one or more portions of the physical frequency band allocated for transmission by a factor that is determined at least in part by a ratio of an aggregated physical bandwidth of the one or more portions of the physical frequency band allocated for transmission and a virtual bandwidth of the virtual transmission band, wherein the decomposition/recomposition module is further configured to map the M transmission components to the sub-carriers associated with the one or more allocated portions of the physical frequency band based on scaled ones of the one or more portions of the physical frequency band;
• and
• a bandwidth adjustment module configured to reduce a transmission bandwidth of the transmission signal by the factor.