Touchscreen device with non-orthogonal electrodes

A method for a controller coupled to a touchscreen device, wherein the touchscreen device comprises U-drive electrodes and V-sense electrodes that intersect at an acute angle, θ, and a rectangular touch sensitive area with horizontal edge of length W and a vertical edge of length H, the method comprising:

• transmitting drive signals via N drive channels, where N is an integer, wherein the N drive channels are communicatively coupled to P U-drive electrodes,
• where P is an integer greater than or equal to N,
• wherein members of a subset of the P U-drive electrodes communicatively coupled to one of the N drive channels intersect mutually exclusive sets of the V-sense electrodes;
• and
• receiving measurements in response to the drive signals via the V-sense electrodes, wherein based on a value of θ, the measurements correspond to signals traversing path lengths that are less than W plus
• wherein θD comprises an angle between the vertical edge and a diagonal of the rectangular touch sensitive area, wherein 0°<θ<θD;
• and wherein 0°<φ<arctan(W/(2H)), wherein φ comprises an acute angle between the vertical edge and V-sense electrodes, and
• wherein a quantity,
• (
• 1
• +
• R
• 2
• )
• 2
• ⁢
• cos
• ⁢
• ⁢
• ϕ
• max
• ⁡
• (
• 1
• cos
• 2
• ⁢
• ϕ
• ,
• 1
• cos
• 2
• ⁡
• (
• θ
• -
• ϕ
• )
• )
• is greater than one, wherein aspect ratio, R, equals tan(θD).

A non-transitory computer-readable medium storing instructions that, when executed by a controller coupled to a touchscreen device, cause the controller to perform operations, wherein the touchscreen device comprises U-drive electrodes and V-sense electrodes that intersect at an acute angle, θ, and a rectangular touch sensitive area with horizontal edge of length W and a vertical edge of length H, the operations comprising:

• transmitting drive signals via N drive channels, where N is an integer, wherein the N drive channels are communicatively coupled to P U-drive electrodes,
• where P is an integer greater than or equal to N,
• wherein members of a subset of the P U-drive electrodes communicatively coupled to one of the N drive channels intersect mutually exclusive sets of the V-sense electrodes;
• and
• receiving measurements in response to the drive signals via the V-sense electrodes, wherein based on a value of θ, the measurements correspond to signals that traverse path lengths that are less than W plus H,
• wherein φ comprises an acute angle between the vertical edge and a V-sense electrode of the V-sense electrodes, and wherein φ=0,
• wherein θD comprises an angle between the vertical edge and a diagonal of the rectangular touch sensitive area, and wherein 0°<θ<θD, and
• wherein a quantity,
• (
• 1
• +
• R
• 2
• )
• ⁢
• cos
• ⁢
• ⁢
• (
• θ
• )
• ⁢
• 1
• sin
• ⁢
• ⁢
• θ
• is greater than one, wherein aspect ratio, R, equals tan(θD).