# Time-Frequency Warped Waveforms

## TL;DR

This paper introduces a novel waveform design using axis warping to enable flexible, quasi-orthogonal pulse shapes, improving spectral efficiency and resource allocation in future communication systems.

## Contribution

It proposes a new waveform scheme that employs axis warping to allow diverse pulse shapes to coexist efficiently in time-frequency space.

## Key findings

- Enables flexible pulse shapes in a quasi-orthogonal manner
- Increases spectral efficiency
- Maintains rectangular resource block structure

## Abstract

The forthcoming communication systems are advancing towards improved flexibility in various aspects. Improved flexibility is crucial to cater diverse service requirements. This letter proposes a novel waveform design scheme that exploits axis warping to enable peaceful coexistence of different pulse shapes. A warping transform manipulates the lattice samples non-uniformly and provides flexibility to handle the time-frequency occupancy of a signal. The proposed approach enables the utilization of flexible pulse shapes in a quasi-orthogonal manner and increases the spectral efficiency. In addition, the rectangular resource block structure, which assists an efficient resource allocation, is preserved with the warped waveform design as well.