Symbol-synchronous continuous fast-convolution-based processing

An apparatus comprising:

• at least one processor;
• and
• at least one memory including computer program code, the at least one memory and computer program code configured to, with the at least one processor, cause the apparatus to perform:
• receiving a stream of orthogonal frequency division multiplexing symbols and associated cyclic prefixes via an antenna of a radio receiver or transceiver, wherein the stream comprises a plurality of different numerologies;
• dividing said stream into a plurality of overlapping processing blocks of a first length, wherein at least one of the plurality of overlapping processing blocks comprises a non-overlapping section having values corresponding to a segment of said stream, the dividing comprising adjusting a length of the non-overlapping section at least based on whether a cyclic prefix is comprised in said segment of said stream and, if a cyclic prefix is comprised in said segment, on a length of said cyclic prefix so as to enable symbol-synchronous continuous fast convolution processing, wherein the adjusting of the length of the non-overlapping section of said at least one of the plurality of overlapping processing blocks comprises:
• if a non-overlapping section of an overlapping processing block comprises a cyclic prefix having an expanded length compared to a default length of a cyclic prefix defined for a numerology of an orthogonal frequency division multiplexing symbol of said non-overlapping section, calculating a length of a non-overlapping section of the overlapping processing block using a first equation dependent at least on the first length and an orthogonal frequency division multiplexing processing sampling rate of the overlapping processing block defined by the numerology and
• otherwise, calculating the length of the non-overlapping section of the overlapping processing block using a second equation dependent at least on the first length, wherein the second equation is different from the first equation;
• filtering the plurality of overlapping processing blocks using fast convolution processing;
• and
• concatenating a plurality of filtered overlapping processing blocks to form an output signal for feeding to at least one orthogonal frequency-division multiplexing demodulator of the radio receiver or transceiver.

A method comprising:

• receiving a stream of orthogonal frequency division multiplexing symbols and associated cyclic prefixes produced by at least one orthogonal frequency-division multiplexing modulator of a radio transmitter or transceiver, wherein the stream comprises a plurality of different numerologies;
• dividing said stream into a plurality of overlapping processing blocks of a first length, wherein at least one of the plurality of overlapping processing blocks comprises a non-overlapping section having values corresponding to a segment of said stream, the dividing comprising adjusting a length of the non-overlapping section at least based on whether a cyclic prefix is comprised in said segment of said stream and, if a cyclic prefix is comprised in said segment, a length of said cyclic prefix so as to enable symbol-synchronous continuous fast convolution processing, wherein the adjusting of the length of the non-overlapping section of said at least one of the plurality of overlapping processing blocks comprises:
• if a non-overlapping section of an overlapping processing block comprises a cyclic prefix having an expanded length compared to a default length of a cyclic prefix defined for a numerology of an orthogonal frequency division multiplexing symbol of said non-overlapping section, calculating a length of a non-overlapping section of the overlapping processing block using a first equation dependent at least on the first length and an orthogonal frequency division multiplexing processing sampling rate of the overlapping processing block defined by the numerology and
• otherwise, calculating the length of the non-overlapping section of the overlapping processing block using a second equation dependent at least on the first length, wherein the second equation is different from the first equation;
• filtering the plurality of overlapping processing blocks using fast convolution processing;
• and
• concatenating filtered processing blocks to form an output signal for transmission via at least one antenna of the radio transmitter or transceiver.

A non-transitory computer readable medium comprising program instructions that when executed by an apparatus, cause the apparatus to perform at least the following:

• receiving a stream of orthogonal frequency division multiplexing symbols and associated cyclic prefixes produced by at least one orthogonal frequency-division multiplexing modulator of a radio transmitter or transceiver, wherein the stream comprises a plurality of different numerologies;
• dividing said stream into a plurality of overlapping processing blocks of a first length, wherein at least one of the plurality of overlapping processing blocks comprises a non-overlapping section having values corresponding to a segment of said stream, the dividing comprising adjusting a length of the non-overlapping section at least based on whether a cyclic prefix is comprised in said segment of said stream and, if a cyclic prefix is comprised in said segment, a length of said cyclic prefix so as to enable symbol-synchronous continuous fast convolution processing, wherein the adjusting of the length of the non-overlapping section of said at least one of the plurality of overlapping processing blocks comprises:
• if a non-overlapping section of an overlapping processing block comprises a cyclic prefix having an expanded length compared to a default length of a cyclic prefix defined for a numerology of an orthogonal frequency division multiplexing symbol of said non-overlapping section, calculating a length of a non-overlapping section of the overlapping processing block using a first equation dependent at least on the first length and an orthogonal frequency division multiplexing processing sampling rate of the overlapping processing block defined by the numerology and
• otherwise, calculating the length of the non-overlapping section of the overlapping processing block using a second equation dependent at least on the first length, wherein the second equation is different from the first equation;
• filtering the plurality of overlapping processing blocks using fast convolution processing;
• and
• concatenating filtered processing blocks to form an output signal for transmission via at least one antenna of the radio transmitter or transceiver.