Signal structures for double side band-quadrature carrier modulation

Claim 2

A double side band-quadrature carrier modulation system comprising input means for receiving a sequence of symbols a k at a rate 1/T per second. coding means connected to said input means for providing from said symbbols a sequence of complex valued signal points d k drawn from an alphabet comprising M points arranged in a multiplicity of concentric rings in the complex plane including an innermost ring having four equally spaced points and a plurality of additional rings each having four equally spaced points, each said ring being rotated by 45° with respect to adjacent said rings, and modulating means connected to said coding means for providing from said signal points a signal in the form ##EQU3## where h(t-kT) represents an impulse response, w c represents a carrier frequency, t represents time, j equals √-1, and k is the index of d k and a k wherein said coding means includes means for effectively providing said signal points arranged in at least four concentric rings in the complex plane. .[.

Claim 3

The system of claim 1 wherein said coding means includes means for effectively providing said signal points arranged in at least four concentric rings in the complex plane..].

Claim 5

The system of claim 1 wherein said coding means includes means for causing the phase component of each d k to depend upon a k and upon the phase component of d.sub.(k-1).

Claim 6

The system of claim 1 wherein said coding means includes means for causing each said d k to have integer valued coordinates in the complex plane.

Claim 7

A double side band-quadrature carrier modulation system comprising input means for receiving a sequence of symbols a k at a rate 1/T per second, coding means connected to said input means for providing from said symbols a sequence of complex valued signal points d k drawn from an alphabet comprising M points arranged in a multiplicity of concentric rings in the complex plane including an innermost ring having four equally spaced points and .[.a plurality of.]. .Iadd.at least three .Iaddend.additional rings having four equally spaced points, each said ring being rotated by 45° with respect to adjacent said rings, and filtering means connected to said coding means for providing from said signal points the real and imaginary parts of a complex valued baseband signal in the form ##EQU4## and modulating means connected to said filtering means for providing from said baseband signal a passband signal in the form ##EQU5## where h(t-kT) represents an impulse response, w c represents a carrier frequency, t represents time, j equals √-1, and k is the index of d k and a k .

Claim 8

A double side band-quadrature carrier modulation system comprising input means for receiving a sequence of symbols a k at a rate 1/T per second, coding means connected to said input means for providing from said symbols a sequence of complex valued signal points d k drawn from an alphabet comprising M points arranged in a multiplicity of concentric rings in the complex plane including an innermost ring having four equally spaced points and .[.a plurality of.]. .Iadd.at least three .Iaddend.additional rings having four equally spaced points, each said ring being rotated by 45° with respect to adjacent said rings, and filtering means connected to said coding means for providing from said signal points the real and imaginary parts of a complex valued baseband signal in the form ##EQU4## and modulating means connected to said filtering means for providing from said baseband signal a passband signal in the form ##EQU5## where h(t-kT) represents an impulse response, w c represents a carrier frequency, t represents time, j equals √-1, and k is the index of d k and a k .

Claim 9

A double side band-quadrature carrier modulation method comprising receiving a sequence of symbols a k at a rate 1/T per second providing from said symbols a sequence of complex valued signal points d k drawn from an alphabet comprising M points arranged in a multiplicity of concentric rings in the complex plane including an innermost ring having four equally spaced points and .[.a plurality of.]. .Iadd.at least three .Iaddend.additional rings each having four equally spaced points, each said ring being rotated by 45° with respect to adjacent said rings, and providing from said signal points a signal in the form ##EQU6## where h(t-kT) represents an impulse response, w c represents a carrier frequency, t represents time, j equals √-1, and k is the index of d k and a k .

Claim 10

A double side band-quadrature carrier modulation method comprising receiving a sequence of symbols a k at a rate 1/T per second providing from said symbols a sequence of complex valued signal points d k drawn from an alphabet comprising M points arranged in a multiplicity of concentric rings in the complex plane including an innermost ring having four equally spaced points and .[.a plurality of.]. .Iadd.at least three .Iaddend.additional rings each having four equally spaced points, each said ring being rotated by 45° with respect to adjacent said rings, and providing from said signal points a signal in the form ##EQU6## where h(t-kT) represents an impulse response, w c represents a carrier frequency, t represents time, j equals √-1, and k is the index of d k and a k .

Claim 11

A double side band-quadrature carrier modulation method comprising receiving a sequence of symbols a k at a rate 1/T per second, providing from said symbols a sequence of complex valued signal points d k drawn from an alphabet comprising M points arranged in a multiplicity of concentric rings in the complex plane including an innermost ring having four equally spaced points and .[.a plurality of.]. .Iadd.at least three .Iaddend.additional rings having four equally spaced points, each said ring being rotated by 45° with respect to adjacent said rings, and providing from said signal points the real and imaginary parts of a complex valued baseband signal in the form ##EQU7## and providing from said baseband signal a passband signal in the form ##EQU8## where h(t-kT) represents an impulse response, w c represents a carrier frequency, t represents time, j equals √-1, and k is the index of d k and a k wherein said coding means includes means for effectively providing said signal points arranged in at least four concentric rings in the complex plane. .Iadd.

Claim 12

A double side band-quadrature carrier modulation method comprising receiving a sequence of symbols a k at a rate 1/T per second, providing from said symbols a sequence of complex valued signal points d k drawn from an alphabet comprising M points arranged in a multiplicity of concentric rings in the complex plane including an innermost ring having four equally spaced points and .[.a plurality of.]. .Iadd.at least three .Iaddend.additional rings having four equally spaced points, each said ring being rotated by 45° with respect to adjacent said rings, and providing from said signal points the real and imaginary parts of a complex valued baseband signal in the form ##EQU7## and providing from said baseband signal a passband signal in the form ##EQU8## where h(t-kT) represents an impulse response, w c represents a carrier frequency, t represents time, j equals √-1, and k is the index of d k and a k wherein said coding means includes means for effectively providing said signal points arranged in at least four concentric rings in the complex plane. .Iadd.

Claim 13

The system of claim 1 wherein said coding means includes means for providing signal points from an alphabet of sixteen points arranged in exactly four concentric rings in the complex plane. .Iaddend.