A method for remapping a time-continuous signal to one or more time-frequency space coefficients and devices therefore

An inverse remapping unit for remapping one or more time-frequency space coefficients to a time-continuous signal utilizing an inverse transform, the inverse remapping unit comprising:

• an inverse transform unit is configured to receive one or more time-frequency space coefficients and configured to inverse-multiply the received time-continuous signal with a window function having a window size, the window function comprising one or more functions;
• and
• an integrating unit configured to integrate the window function with increments equivalent mathematically to infinitesimally small increments in the window size to obtain an integral;
• and
• wherein the inverse transform unit is configured to remap the one or more time-frequency space coefficients to a time-continuous signal based on the integral.

A system for wireline communication or for wireless transmission of a communications signal, comprising:

• a transmitter;
• and
• a receiver,
• wherein the transmitter comprises:
• a remapping unit for remapping a time-continuous signal to one or more time-frequency space coefficients utilizing a transform, the remapping unit comprising:
• a transform unit configured to receive the time-continuous signal and a frequency band of interest, and configured to multiply the received time-continuous signal with a window function having a window size, the window function comprising one or more functions;
• an integrating unit configured to integrate the window function with small increments in the window size to obtain an integral, wherein the increments in the window size are equivalent mathematically to infinitesimally small increments;
• and
• wherein the transform unit is configured to remap the time-continuous signal to one or more time-frequency space coefficients based on the obtained integral, and
• wherein the transmitter further comprises a modulator configured to modulate the one or more time-frequency space coefficients with a carrier signal to form the communications signal for wireline communication or for wireless transmission,
• and wherein the receiver comprises:
• receiving a communications signal;
• an inverse remapping unit for remapping one or more time-frequency space coefficients of the communications signal to a time-continuous signal utilizing an inverse transform, the inverse remapping unit comprising:
• an inverse transform unit is configured to receive the one or more time-frequency space coefficients and configured to inverse-multiply the received time-continuous signal with a window function having a window size, the window function comprising one or more functions;
• and
• an integrating unit configured to integrate the window function with increments equivalent mathematically to infinitesimally small increments in the window size to obtain an integral;
• and
• wherein the inverse transform unit is configured to remap the one or more time-frequency space coefficients to a time-continuous signal based on the integral, and wherein the received communications signal comprises a modulated carrier signal transmitted by wireline communication or wireless transmission and the receiver further comprises a demodulator configured to demodulate the modulated carrier signal to extract the one or more time-frequency space coefficients.