Touch sensor mesh designs

A system comprising:

• a display device comprising a plurality of pixels, each pixel including a plurality of sub-pixels;
• and
• a touch sensor that comprises a substrate and a mesh of conductive material formed on the substrate and configured to extend across the display device, wherein:
• the mesh of conductive material comprises first lines of conductive material that are substantially parallel to each other;
• the first lines are configured to extend across at least a portion of the display device at a first angle relative to a first axis;
• the first lines are separated from each other along the first axis by a sequence of separation distances having different magnitudes;
• the corresponding magnitudes of more than one of the separation distances from among the sequence of separation distances are based on a phasor step θ and a phasor magnitude of at least one phasor;
• the corresponding magnitudes of more than one of the separation distances from among the sequence of separation distances are further based on a phasor having at least one carrier phasor step and at least one side band comprising at least one positive side band component and at least one negative side band component;
• and
• the corresponding magnitudes of more than one of the separation distances from among the sequence of separation distances comprise a pattern of translational shifts comprising a first horizontal component of the at least one positive side band component and a second horizontal component of the at least one negative side band component.

A method, comprising:

• forming a touch sensor that comprises a substrate and a mesh of conductive material formed on the substrate and configured to extend across a display, wherein:
• the mesh of conductive material comprises first lines of conductive material that are substantially parallel to each other;
• the first lines are configured to extend across at least a portion of the display at a first angle relative to a first axis;
• the first lines are separated from each other along the first axis by a sequence of separation distances having corresponding magnitudes;
• the corresponding magnitudes of more than one of the separation distances from among the sequence of separation distances are based on a phasor step θ and a phasor magnitude of at least one phasor;
• the corresponding magnitudes of more than one of the separation distances from among the sequence of separation distances are further based on a phasor having at least one carrier phasor step and at least one side band comprising at least one positive side band component and at least one negative side band component;
• and
• the corresponding magnitudes of more than one of the separation distances from among the sequence of separation distances comprise a pattern of translational shifts comprising a first horizontal component of the at least one positive side band component and a second horizontal component of the at least one negative side band component.