Wireless telecommunications system for high-mobility applications

1. An apparatus for wireless communication, comprising:

a modulator configured to:

receive a data item d(1,1) and a data item d(1,2),

generate a waveform φ(1,1) and a waveform φ(1,2) wherein:

(i) the waveform φ(m,n) is partitioned into N time slots 1, . . . , p, . . . , N,

(ii) time slot p of the waveform φ(m,n) comprises a basic waveform b(m) multiplied by exp[2π(n−1)(p−1)i/N],

(iii) the waveform φ(m,n) is multiplied by the data item d(m,n),

(iv) M and N are positive integers greater than 1,

(v) m is a positive integer in a range mϵ{1, . . . , M}, and

(vi) n and p are positive integers in a range nϵ{1, . . . , N}, and

modulate a radio-frequency carrier signal with a sum of the waveform φ(1,1) and the waveform φ(1,2) to generate a modulated radio-frequency carrier signal; and

an antenna configured to radiate the modulated radio-frequency carrier signal into a radio channel.

2. The apparatus of claim 1 , wherein j and k are positive integers in the range mϵ{1, . . . , M}, and wherein a basic waveform b(j) and a basic waveform b(k) are orthogonal for j≠k.

3. The apparatus of claim 1 , wherein the basic waveform b(m) is waveform m in an M-ary stepped-pulse waveform scheme.

4. The apparatus of claim 1 , wherein a bandwidth of the radio channel is B Hz, and a duration of the basic waveform b(m) is M/B seconds.

5. The apparatus of claim 1 , wherein a bandwidth of the radio channel is B Hz, and a duration of the waveform φ(m,n) is M·N/B seconds.

6. An apparatus for wireless communication, comprising:

a modulator configured to:

receive a data item d(1,1) and a data item d(2,1),

generate a waveform φ(1,1) and a waveform φ(2,1) wherein:

(i) the waveform φ(m,n) is partitioned into N time slots 1, . . . p, N,

(ii) time slot p of the waveform φ(m,n) comprises a basic waveform b(m) multiplied by exp[2π(n−1)(p−1)i/N],

(iii) the waveform φ(m,n) is multiplied by the data item d(m,n),

(iv) M and N are positive integers greater than 1,

(v) m is a positive integer in a range mϵ{1, . . . , M}, and

(vi) n and p are positive integers in a range nϵ{1, . . . , N}, and

modulate a radio-frequency carrier signal with a sum of the waveform φ(1,1) and the waveform φ(2,1) to generate a modulated radio-frequency carrier signal; and

an antenna configured to radiate the modulated radio-frequency carrier signal into a radio channel.

7. The apparatus of claim 6 , wherein j and k are positive integers in the range mϵ{1, . . . , M}, and wherein a basic waveform b(j) and a basic waveform b(k) are orthogonal for j≠k.

8. The apparatus of claim 6 , wherein the basic waveform b(m) is waveform m in an M-ary stepped-pulse waveform scheme.

9. The apparatus of claim 6 , wherein a bandwidth of the radio channel is B Hz, and a duration of the basic waveform b(m) is M/B seconds.

10. The apparatus of claim 6 , wherein a bandwidth of the radio channel is B Hz, and a duration of the waveform φ(m,n) is M·N/B seconds.

11. An apparatus for wireless communication, comprising:

a modulator configured to:

receive a data item d(1,1) and a data item d(2,2);

generate a waveform φ(1,1) and a waveform φ(2,2) wherein:

(i) the waveform φ(m,n) is partitioned into N time slots 1, . . . p, N,

(ii) time slot p of the waveform φ(m,n) comprises a basic waveform b(m) multiplied by exp[2π(n−1)(p−1}i/N],

(iii) the waveform φ(m,n) is multiplied by the data item d(m,n),

(iv) M and N are positive integers greater than 1,

(v) m is a positive integer in a range mϵ{1, . . . , M}, and

(vi) n and p are positive integers in a range nϵ{1, . . . , N}, and

modulate a radio-frequency carrier signal with a sum of the waveform φ(1,1) and the waveform φ(2,2) to generate a modulated radio-frequency carrier signal; and

an antenna configured to radiate the modulated radio-frequency carrier signal into a radio channel.

12. The apparatus of claim 11 , wherein j and k are positive integers in the range mϵ{1, . . . , M }, and wherein a basic waveform b(j) and a basic waveform b(k) are orthogonal for j ≠k.

13. The apparatus of claim 11 , wherein the basic waveform b(m) is waveform m in an M-ary stepped-pulse waveform scheme.

14. The apparatus of claim 11 , wherein a bandwidth of the radio channel is B Hz, and a duration of the basic waveform b(m) is M/B seconds.

15. The apparatus of claim 11 , wherein a bandwidth of the radio channel is B Hz, and a duration of the waveform φ(m,n) is M·N/B seconds.

16. An apparatus for wireless communication, comprising:

a modulator configured to:

receive M·N data items d(1,1), . . . , d(m,n), . . . , d(M,N);

generate M·N waveforms φ(1,1), . . . , φ(m, n), . . . , φ(M,N), wherein

(i) the waveform φ(m,n) is partitioned into N time slots 1, . . . , p, . . . , N,

(ii) time slot p of the waveform φ(m,n) comprises a basic waveform b(m) multiplied by exp[2π:(n−1)(p−1)i/N],

(iii) the waveform φ(m,n) is multiplied by the data item d(m,n),

(iv) M and N are positive integers greater than 1,

(v) m is a positive integer in a range mϵ{1, . . . , M}, and

(vi) n and p are positive integers in a range nϵ{1, . . . , N}, and

modulate a radio-frequency carrier signal with a sum of M·N waveforms φ(1,1), . . . , φ(m,n), . . . , φ(M,N), to generate a modulated radio-frequency carrier signal; and

an antenna configured to transmit the modulated radio-frequency carrier signal into a radio channel.

17. The apparatus of claim 16 , wherein j and k are positive integers in the range mϵ{1, . . . , M}, and wherein a basic waveform b(j) and a basic waveform b(k) are orthogonal for j≠k.

18. The apparatus of claim 16 , wherein the basic waveform b(m) is waveform m in an M-ary stepped-pulse waveform scheme.

19. The apparatus of claim 16 , wherein a bandwidth of the radio channel is B Hz, and a duration of the basic waveform b(m) is M/B seconds.

20. The apparatus of claim 16 , wherein a bandwidth of the radio channel is B Hz, and a duration of the waveform φ(m,n) is M·N/B seconds.