a system clock defining a clock period;

a polyphase Nyquist filter, having as parallel inputs during one clock period, M in-phase symbols and M quadrature symbols derived from a data stream, and outputting in parallel during one system clock period, k samples from each symbol, wherein k is an integer greater than one and M is an integer greater than or equal to one;

an oscillator defining Mk first carrier wave outputs and Mk second carrier wave outputs, wherein each first carrier wave output is in quadrature relation to a corresponding second carrier wave output;

a plurality of Mk in-phase multipliers, each in-phase multiplier having an input coupled to a first carrier wave output of the oscillator and an input coupled to an output of the filter corresponding to an in-phase symbol;

a plurality of Mk quadrature multipliers, each quadrature multiplier having an input coupled to a second carrier wave output of the oscillator and an input coupled to an output of the filter corresponding to a quadrature symbol;

a plurality of adders, each adder coupled to an output of an in-phase multiplier and an input coupled to an output of a quadrature multiplier; and

a plurality of filter adders each having an input coupled to an output of at least two polyphase filter components that are defined by the Nyquist filter.