Wireless telecommunications system for high-mobility applications

1. A process comprising:

receiving a first data item and a second data item;

generating a waveform φ1(m1,n1) of waveform array Φ1 wherein:

(i) the waveform φ1(m1,n1) is partitioned into N1 time slots 1, . . . , p1, . . . , N1, and

(ii) time slot p1 of the waveform φ1(m1,n1) comprises a basic waveform b1(m1) multiplied by exp[2π(n1−1)(p1−1)i/N1], and

(iii) the waveform φ1(m1,n1) is multiplied by the first data item, and

(iv) M1 and N1 are positive integers greater than 1, and

(v) m1 is a positive integer in the range m1∈{1, . . . , M1}, and

(vi) n1 and p1 are positive integers in the range n1, p1∈{1, . . . , N1};

generating a waveform φ2(m2,n2) of waveform array Φ2 wherein:

(i) the waveform φ2(m2,n2) is partitioned into N2 time slots 1, . . . , p2, . . . , N2, and

(ii) time slot p2 of the waveform φ2(m2,n2) comprises a basic waveform b2(m2) multiplied by exp[2π(n2−1)(p2−1)i/N2], and

(iii) the waveform φ2(m2,n2) is multiplied by the second data item, and

(iv) M2 and N2 are positive integers greater than 1, and

(v) m2 is a positive integer in the range m2∈{1, . . . , M2}, and

(vi) n2 and p2 are positive integers in the range n2, p2∈{1, . . . , N2};

modulating a radio-frequency carrier signal with the sum of the waveform φ1(m1,n1) and the waveform φ2(m2,n2) to generate a modulated radio-frequency carrier signal; and

radiating the modulated radio-frequency carrier signal into a radio channel via an antenna;

wherein M1≠M2; and

wherein the waveform φ1(m1,n1) and the waveform φ2(m2,n2) overlap in time in the modulated radio-frequency carrier signal.

2. The process of claim 1 wherein M2 is an integral multiple of M1 and M1<M2.

3. The process of claim 1 wherein N1≠N2.

4. The process of claim 1 wherein N2 is an integral multiple of N1 and N1<N2.

5. The process of claim 1 wherein waveform φ1(m1,n1) is frame aligned with waveform φ2(m2,n2) in the modulated radio-frequency carrier signal.

6. The process of claim 1 wherein waveform φ1(m1,n1) is frame unaligned with waveform φ2(m2,n2) in the modulated radio-frequency carrier signal.

7. The process of claim 1 wherein the waveform φ1(m1,n1) and the waveform φ2(m2,n2) do not overlap in the time-frequency space of the modulated radio-frequency carrier signal.

8. The process of claim 1 wherein the bandwidth of the radio channel is B Hz, and the duration of the basic waveform b1(m1) is M1/B seconds.

9. The process of claim 1 wherein the bandwidth of the radio channel is B Hz, wherein the duration of the waveform φ1(m1,n1) is M1·N1/B seconds, and wherein the duration of the waveform φ2(m2,n2) is M2·N2/B seconds.

10. The process of claim 1 wherein the first data item is less latency tolerant than the second data item.

11. A process comprising:

receiving a first data item and a second data item;

generating a waveform φ1(m1,n1) of waveform array Φ1 wherein:

(i) the waveform φ1(m1,n1) is partitioned into N1 time slots 1, . . . , p1, . . . , N1, and

(ii) time slot p 1 of the waveform φ1(m1,n1) comprises a basic waveform b1(m1) multiplied by exp[2π(n1−1)(p1−1)i/N1], and

(iii) the waveform φ1(m1,n1) is multiplied by the first data item, and

(iv) M1 and N1 are positive integers greater than 1, and

(v) m1 is a positive integer in the range m1∈{1, . . . . , M1}, and

(vi) n1 and p1 are positive integers in the range n1, p1∈{1, . . . , N1};

generating a waveform φ2(m2,n2) of waveform array Φ2 wherein:

(i) the waveform φ2(m2,n2) is partitioned into N2 time slots 1, . . . , p2, . . . , N2, and

(ii) time slot p2 of the waveform φ2(m2,n2) comprises a basic waveform b2(m2) multiplied by exp[2π(n2−1)(p2−1)i/N2], and

(iii) the waveform φ2(m2,n2) is multiplied by the second data item, and

(iv) M2 and N2 are positive integers greater than 1, and

(v) m2 is a positive integer in the range m2∈{1, . . . , M2}, and

(vi) n2 and p2 are positive integers in the range n2, p2∈{1, . . . , N2};

modulating a radio-frequency carrier signal with the sum of the waveform φ1(m1,n1) and the waveform φ2(m2,n2) to generate a modulated radio-frequency carrier signal; and

radiating the modulated radio-frequency carrier signal into a radio channel via an antenna;

wherein N1≠N2; and

wherein the waveform φ1(m1,n1) and the waveform φ2(m2,n2) overlap in time in the modulated radio-frequency carrier signal.

12. The process of claim 11 wherein M2 is an integral multiple of M1 and M1<M2.

13. The process of claim 11 wherein M1≠M2.

14. The process of claim 11 wherein N2 is an integral multiple of N1 and N1<N2.

15. The process of claim 1 wherein waveform φ1(m1,n1) is frame aligned with waveform φ2(m2,n2) in the modulated radio-frequency carrier signal.

16. The process of claim 11 wherein waveform φ1(m1,n1) is frame unaligned with waveform φ2(m2,n2) in the modulated radio-frequency carrier signal.

17. The process of claim 11 wherein the waveform φ1(m1,n1) and the waveform φ2(m2,n2) do not overlap in the time-frequency space of the modulated radio-frequency carrier signal.

18. The process of claim 11 wherein the bandwidth of the radio channel is B Hz, and the duration of the basic waveform b1(m1) is M1/B seconds.

19. The process of claim 11 wherein the bandwidth of the radio channel is B Hz, wherein the duration of the waveform φ1(m1,n1) is M1·N1/B seconds, and wherein the duration of the waveform φ2(m2,n2) is M2·N2/B seconds.

20. The process of claim 11 wherein the first data item is less latency tolerant than the second data item.