1. A method comprising:
selecting a basis vector space v={v1, . . . v\u221a{square root over (M)}}\u03b5\u221a{square root over (M)};
multiplying elements of the basis vector space v by information symbols \u03bbi,m of the set \u039bi={\u03bbi,1, . . . \u03bbi,\u221a{square root over (M)}}\u03b5\u221a{square root over (M)} to achieve a product for each of \u221a{square root over (M)} signal dimensions where at least one of the products is irrational;
transmitting each of the products in an n-th symbol interval over a constant envelope waveform having continuous phase modulation across the \u221a{square root over (M)} dimensions.
2. The method of claim 1, where the phase of the transmitted products is
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t
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=
2
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i
=
0
n
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=
1
M
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,
m
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m
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m
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t
–
i
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)
;
qm is a phase response function; t is time; T is the symbol interval; and h is a modulation index.
3. The method of claim 1, where the waveform is transmitted over a mobile communication system.
4. The method of claim 2, where the phase state is time-invariant across the \u221a{square root over (M)} dimensions.
5. The method of claim 4, where the use of pulse shaping causes the phase state to be time-invariant.
6. The method of claim 4, where the transmitting comprises transmitting N consecutive symbols during which a cumulative phase is forced to zero at pre-specified intervals.
7. The method of claim 6, where the cumulative phase is forced to zero by tail bits appended to individual ones of the symbols.
8. The method of claim 4, where a number of trellis states is constant.
9. The method of claim 8, where the number of trellis states is PML-1; where L is the memory length of the transmitted waveform and P is a relatively prime integer.
10. The method of claim 1, where the multidimensional continuous phase modulation uses one of the following: a generalized tilted phase decomposition and ring convolution codes.
11. The method of claim 10, where the cumulative phase term used to determine the number of possible phase states is:
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12. The method of claim 10, where the waveform is generated using a bank of continuous phase encoders and a memory-less modulator.
13. A device comprising:
a processor configured to select a basis vector space v={v1, . . . v\u221a{square root over (M)}}\u03b5\u221a{square root over (M)};
a processor configured to multiply elements of the basis vector space v by information symbols \u03bbi,m of the set \u039bi={\u03bbi,1, . . . \u03bbi,\u221a{square root over (M)}}\u03b5\u221a{square root over (M)} to achieve a product for each of \u221a{square root over (M)} signal dimensions where at least one of the products is irrational;
a transmitter configured to transmit each of the products in an n-th symbol interval over a constant envelope waveform having continuous phase modulation across the \u221a{square root over (M)} dimensions.
14. The device of claim 13, where the phase of the transmitted products is
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t
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=
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=
1
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m
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m
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(
t
–
i
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T
)
;
qm(t) is a phase response function; t is time; T is the symbol interval; and h is a modulation index.
15. The device of claim 13, where the waveform is transmitted over a mobile communication system.
16. The device of claim 14, where the phase state is time-invariant across the \u221a{square root over (M)} dimensions.
17. The device of claim 16, where the use of pulse shaping causes the phase state to be time-invariant.
18. The device of claim 16, where the transmitting comprises transmitting N consecutive symbols during which a cumulative phase is forced to zero at pre-specified intervals.
19. The device of claim 18, where the cumulative phase is forced to zero by tail bits appended to individual ones of the symbols.
20. The device of claim 18, where a number of trellis states is constant.
21. The device of claim 20, where the number of trellis states is PML-1; where L is the memory length of the transmitted waveform and P is a relatively prime integer.
22. The device of claim 13, where the multidimensional continuous phase modulation uses one of the following: a generalized tilted phase decomposition and ring convolution codes.
23. The device of claim 22, where the cumulative phase term used to determine the number of possible phase states is:
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.
24. The device of claim 22, where the waveform is generated using a bank of continuous phase encoders and a memory-less modulator.
25. A computer readable medium embodied with a computer program, execution of which result in operations comprising:
selecting a basis vector space v={v1, . . . v\u221a{square root over (M)}}\u03b5\u221a{square root over (M)};
multiplying elements of the basis vector space v by information symbols \u03bbi,m of the set \u039bi={\u03bbi,1, . . . \u03bbi,\u221a{square root over (M)}}\u03b5\u221a{square root over (M)} to achieve a product for each of \u221a{square root over (M)} signal dimensions where at least one of the products is irrational;
transmitting each of the products in an n-th symbol interval over a constant envelope waveform having continuous phase modulation across the \u221a{square root over (M)} dimensions.
26. The computer readable medium of claim 25, where the phase state is time-invariant across the \u221a{square root over (M)} dimensions.
27. The computer readable medium of claim 26, where the use of pulse shaping causes the phase state to be time-invariant.
28. The computer readable medium of claim 26, where the transmitting comprises transmitting N consecutive symbols during which a cumulative phase is forced to zero at pre-specified intervals.
29. The computer readable medium of claim 28, where the number of trellis states is constant.
30. The computer readable medium of claim 25, where the multidimensional continuous phase modulation uses one of the following: a generalized tilted phase decomposition and ring convolution codes.
31. The computer readable medium of claim 30, where the cumulative phase term used to determine the number of possible phase states is:
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n
=
4
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.
32. An apparatus comprising:
means for selecting a basis vector space v={v1, . . . v\u221a{square root over (M)}}\u03b5\u221a{square root over (M)};
means for multiplying elements of the basis vector space v by information symbols \u03bbi,m of the set \u039bi={\u03bbi,1, . . . \u03bbi,\u221a{square root over (M)}}\u03b5\u221a{square root over (M)} to achieve a product for each of V signal dimensions where at least one of the products is irrational;
means for transmitting each of the products in an n-th symbol interval over a constant envelope waveform having continuous phase modulation across the \u221a{square root over (M)} dimensions.
33. The apparatus of claim 32, where the phase state is time-invariant across the \u221a{square root over (M)} dimensions.
34. The apparatus of claim 33, where the transmitting comprises transmitting N consecutive symbols during which a cumulative phase is forced to zero at pre-specified intervals by tail bits appended to individual ones of the symbols.
35. The device of claim 32, where the multidimensional continuous phase modulation uses one of the following: a generalized tilted phase decomposition and ring convolution codes.
36. The device of claim 32, where the means for selecting and the means for multiplying comprise a processor; and
the means for transmitting comprises a transmitter.
The claims below are in addition to those above.
All refrences to claim(s) which appear below refer to the numbering after this setence.
1. A packaging system comprising
a closable container for receiving a plurality of water-soluble film pouches and at least one scent composition carrier that can be freely positioned in the container,
at least one first group of water-soluble film pouches that stores at least one washing or cleaning agent preparation containing a scent composition,
wherein the scent composition is present in the washing or cleaning agent preparation in a concentration from 0.1 to 5 wt. %,
at least one scent composition carrier that can be positioned in the container, wherein
the scent composition in andor on the scent composition carrier and the scent composition in at least the first group of water-soluble film pouches are substantially olfactometrically identical,
the surface ratio of film pouch to scent composition carrier is in the range from 1 to 200,
the weight ratio between the scent composition in the washing or cleaning agent preparation of a film pouch and the scent composition carrier is in the range from 1 to 300,
the ratio of volume of the container to free volume between the film pouches is in the range from 1 to 5.
2. The packaging system according to claim 1, wherein the scent composition is defined as follows:
a. less than 25% of the scent composition has a c log P>4 and a boiling point>250\xb0 C.,
b. less than 70% of the scent composition has a c log P>3 and a boiling point>200\xb0 C.,
c. more than 30% of the scent composition has an odor detection threshold (ODT)<50 \u03bcgm3.
3. The packaging system according to claim 1, wherein a water-soluble film pouch has a scent composition permeability of <0.01 gm2 h.
4. The packaging system according to claim 1, wherein the scent composition of the scent composition carrier is defined as follows:
a. less than 25% of the scent composition has a c log P>4 and a boiling point>250\xb0 C.,
b. less than 70% of the scent composition has a c log P>3 and a boiling point>200\xb0 C.,
c. more than 10% of the scent composition has a c log P<2 and
d. more than 30% of the scent composition has an odor detection threshold (ODT)<50 \u03bcgm3.
5. The packaging system according to claim 1, wherein the scent composition of the washing and cleaning agent composition is defined as follows:
a. less than 25% of the scent composition has a c log P>4 and a boiling point>250\xb0 C.,
b. less than 70% of the scent composition has a c log P>3 and a boiling point>200\xb0 C.,
c. less than 10% of the scent composition has a c log P<2 and
d. more than 30% of the scent composition has an odor detection threshold (ODT)<50 \u03bcgm3.
6. The packaging system according to claim 1, wherein the scent composition carrier has a Bendtsen surface roughness of between 100 and 5000 mlmin.
7. The packaging system according to claim 1, wherein the water-soluble film pouch is manufactured from a PVA film.
8. The packaging system according to claim 1, wherein the scent composition carrier is formed from a pulp-based material.
9. A method for packaging and storing water-soluble film pouches in a packaging system, in particular according to claim 1, wherein the packaging system comprises:
a closable container for receiving a plurality of water-soluble film pouches and at least one scent composition carrier that can be freely positioned in the container,
at least one first group of water-soluble film pouches that stores at least one washing or cleaning agent preparation containing a scent composition,
wherein the scent composition is present in the washing or cleaning agent preparation in a concentration from 0.1 to 5 wt. %,
at least one scent composition carrier that can be positioned in the container, wherein
the scent composition in andor on the scent composition carrier and the scent composition in at least the first group of water-soluble film pouches are substantially olfactometrically identical,
the surface ratio of film pouch to scent composition carrier is in the range from 1 to 200,
the weight ratio between the scent composition in the washing or cleaning agent preparation of a film pouch and the scent composition carrier is in the range from 1 to 300,
the ratio of volume of the container to free volume between the film pouches is in the range from 1 to 5,
comprising the following process steps:
(a.) filling the container with at least the first group of water-soluble film pouches,
(b.) positioning the at least one scent composition carrier in the container, wherein process steps (a.) and (b.) can be performed in any order,
(c.) closing the container,
(d.) storing the closed container for at least 24 hours.