1. A method for displaying a time-dependent process, the method comprising:
providing a toothbrush having a porous indicator strip disposed on its surface, the indicator strip having:
a first portion,
a second, opposite-portion, the second portion having a dye pre-applied thereto, and
a display surface extending between the first and second portions;
applying a liquid onto the first portion of the porous indicator strip
allowing the liquid to migrate along a length of the display surface from the first portion to the second portion, causing the dye to dissolve in the liquid; and then
diffusing the dye along the length of the display surface from the second portion toward the first portion.
2. The method of claim 1 wherein the strip is pre-impregnated with the dye.
3. The method of claim 1 wherein the strip is pre-printed with the dye.
4. The method of claim 1 wherein the strip has been conditioned to cause molecules of the dye to adhere to the strip.
5. The method according to claim 1, further comprising providing the liquid within a storage capsule located adjacent the first portion of the indicator strip.
6. The method according to claim 5, further comprising applying the liquid to the indicator strip from the storage capsule.
7. The method according to claim 6, further comprising opening the capsule by applying mechanical pressure to a flexible cladding substantially surrounding the indicator strip and the capsule.
8. The method according to claim 6, further comprising opening the capsule by actuating a pressure pin arranged adjacent the capsule.
9. The method according to claim 1, wherein the liquid comprises water.
10. The method according to claim 1, wherein the dye comprises Erythrosin B or Coomassie Brilliant Blue.
11. The method according to claim 1, wherein the indicator strip comprises cellulose paper.
12. A display device for a toothbrush, the device comprising:
a capsule to store a liquid and comprising a seal for controllable release of the liquid; and
a porous indicator strip disposed adjacent to the capsule, the indicator strip having:
a first portion adjacent the capsule,
a second portion opposite the first portion, the second portion having a dye pre-applied thereto, and
a display surface extending between the first and second portions,
wherein the indicator strip is configured to allow the liquid to migrate along a length of the display surface from the first portion to the second portion, causing the dye to dissolve in the liquid; and then diffuse the dye along the length of the display surface from the second portion toward the first portion.
13. The device of claim 12, further comprising a scale located adjacent the indicator strip to provide an indication of elapsed time.
14. The device according to claim 12, wherein the dye is disposed along the second portion of the indicator strip.
15. The device according to claim 12, wherein the device is configured to introduce the liquid from the capsule to the dye along the indicator strip.
16. The device according to claim 12, wherein the liquid comprises water.
17. The device according to claim 12, wherein the dye comprises Erythrosin B or Coomassie Brilliant Blue.
18. The device according to claim 12 wherein the indicator strip comprises cellulose filter paper.
19. The device according to claim 12, further comprising a protective cladding substantially surrounding the indicator strip and the capsule.
20. The device according to claim 19, further comprising a mechanical pressure device arranged on an opposite side of the indicator strip facing away from the display surface configured to actuate and burst the capsule.
21. The device of claim 12 wherein the porous substrate is impregnated with the dye prior to release of the liquid.
22. The device of claim 12 wherein the porous substrate is printed with the dye prior to release of the liquid.
23. A toothbrush comprising:
a capsule to store a liquid and comprising a seal for controllable release of the liquid; and
a porous indicator strip disposed adjacent to the capsule, the indicator strip having:
a first portion adjacent the capsule,
a second portion opposite the first portion, the second portion having a dye pre-applied thereto, and
a display surface extending between the first and second portions,
wherein the indicator strip is configured to allow the liquid to migrate along a length of the display surface from the first portion to the second portion, causing the dye to dissolve in the liquid; and then diffuse the dye along the length of the display surface from the second portion toward the first portion.
24. The toothbrush of claim 23, wherein the porous indicator strip is disposed on a handle of the toothbrush.
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 method for receiving OFDM signals via at least two antennae, in which each OFDM signal includes a plurality of OFDM symbols, the method comprising:
converting OFDM symbols received via each antenna to a plurality of sub carrier signals, wherein each sub carrier signal corresponds to one of a plurality of sub carriers;
for a specified sub carrier, combining the sub carrier signals, which are obtained via each antenna and corresponds to the specified sub carrier, based on a combining coefficient vector to form a combined signal;
recovering a desired signal based on the combined signal corresponding to the specified sub carrier; and
updating the combining coefficient vector based on the desired signal corresponding to the specified sub carrier and the sub carrier signals, which correspond to the specified sub carrier and are obtained via each antennae.
2. The method of claim 1, wherein the step of recovering the desired signal comprises:
demodulating the combined signal to form a demodulated signal corresponding to the specified sub carrier;
convolutional decoding the demodulated signal to form a decoded signal corresponding to the specified sub carrier;
convolutional encoding the decoded signal to form a coded signal corresponding to the specified sub carrier; and
modulating the coded signal to form the desired signal corresponding to the specified sub carrier.
3. The method of claim 2, wherein the step of convolutional decoding is performed by a Viterbi decoder.
4. The method of claim 1, wherein the step of recovering the desired signal is performed by a hard-decision maker.
5. The method of claim 1, wherein the step of updating the combining coefficient vector comprises:
constructing a first matrix based on an autocorrelation of the sub carrier signals corresponding to the specified sub carrier obtained via each antennae;
calculating an inversed first matrix according to the first matrix;
constructing a second matrix based on a cross-correlation of the desired signal corresponding to the specified sub carrier and the sub carrier signals corresponding to the specified sub carrier obtained via each antennae; and
calculating to update the combining coefficient vector by multiplying the inversed first matrix and second matrix.
6. The method of claim 5, wherein the first matrix is constructed by a plurality of first elements, wherein each first element is obtained according to an average, over a plurality of OFDM symbols, of an inner product of a pair of the sub carrier signals, wherein each one of a pair of the sub carrier signals is the sub carrier signal corresponding to the specified sub carrier obtained via one of the antennae; and
wherein the second matrix is constructed by a plurality of second elements, wherein each second element is obtained according to an average, over a plurality of OFDM symbols, of an inner product of the desired signal corresponding to the specified sub carrier, and the sub carrier signal corresponding to the specified sub carrier obtained via one of the antennae.
7. The method of claim 5, wherein the first matrix is constructed by a plurality of first elements, wherein each first element is obtained according to an average, over a plurality of specified sub carriers and a plurality of OFDM symbols, of an inner product of a pair of sub carrier signals, wherein each one of a pair of sub carrier signals is the sub carrier signal corresponding to one of the plurality of specified sub carriers obtained via one of the antennae; and
wherein the second matrix is constructed by a plurality of second elements, wherein each second element is obtained according an average, over a plurality of specified sub carriers and a plurality of OFDM symbols, of the inner product of the desired signal corresponding to one of the plurality of specified sub carriers and the sub carrier signal corresponding to one of the plurality of specified sub carrier obtained via one of the antennae.
8. The method of claim 2, wherein the step of recovering the desired signal further comprises:
de-interleaving the demodulated signal corresponding to the specified sub carrier to form a de-interleaved signal;
interleaving the coded signal corresponding to the specified sub carrier to form an interleaved signal; and
wherein the decoded signal is formed by decoding the de-interleaved signal; and
the desired signal is formed by modulating the interleaved signal.
9. An apparatus for receiving OFDM signals via at least two antennae, in which each OFDM signal includes a plurality of OFDM symbols, the apparatus comprising:
a converter for converting the OFDM symbols received via each antenna to a plurality of sub carrier signals, wherein each sub carrier signal corresponds to one of a plurality of sub carriers;
a combining unit for combining the sub carrier signals, which are obtained via each antenna and correspond to a specified sub carrier, based on a combining coefficient vector to form a combined signal;
a recovery unit for recovering a desired signal based on the combined signal corresponding to the specified sub carrier; and
a combining coefficient estimation unit for updating the combining coefficient vector corresponding to the specified sub carrier based on the desired signal corresponding to the specified sub carrier and the sub carrier signals, which correspond to the sub carrier and are obtained via each antennae.
10. The apparatus of claim 9, wherein the recovery unit comprises:
a demodulator for demodulating the combined signal to form a demodulated signal corresponding to the specified sub carrier;
a decoder for convolutional decoding the demodulated signal to form a decoded signal corresponding to the specified sub carrier;
a coder for convolutional coding the decoded signal to form a coded signal corresponding to the specified sub carrier; and
a modulator for modulating the coded signal to form the desired signal corresponding to the specified sub carrier.
11. The apparatus of claim 10, wherein the decoder is a Viterbi decoder.
12. The apparatus of claim 9, wherein the recovery unit is a hard decision maker.
13. The apparatus of claim 9, wherein the combining coefficient estimation unit comprises:
a first matrix constructer for constructing a first matrix based on an autocorrelation of the sub carrier signals corresponding to the specified sub carrier obtained via each antenna;
a matrix inverter for inversing the first matrix to form an inversed first matrix;
a second matrix constructer for constructing a second matrix based on a cross-correlation of the desired signal corresponding to the specified sub carrier and the sub carrier signals corresponding to the specified sub carrier obtained via each antenna; and
a multiplier for generating to update the combining coefficient vector by multiplying the inversed first matrix and the second matrix.
14. The apparatus of claim 13, wherein the first matrix comprises a plurality of first elements, wherein each first element is obtained according to an average, over a plurality of OFDM symbols, of an inner product of a pair of sub carrier signals, wherein each one of a pair of sub carrier signals is the sub carrier signal corresponding to the specified sub carrier obtained via one of the antennae; and
wherein the second matrix comprises a plurality of second elements, wherein each second element is obtained according an average, over a plurality of OFDM symbols, of an inner product of the desired signal corresponding to the specified sub carrier and the sub carrier signal corresponding to the specified sub carrier obtained via one of the antennae.
15. The apparatus of claim 13, wherein the first matrix comprises a plurality of first elements, wherein each first element is obtained according to an average, over a plurality of specified sub carriers and a plurality of OFDM symbols, of an inner product of a pair of sub carrier signals, wherein each of a pair of sub carrier signals is the sub carrier signal corresponding to one of the plurality of specified sub carriers obtained via one of the antennae; and
wherein the second matrix comprises a plurality of second elements, wherein each second element is obtained according an average, over a plurality of specified sub carriers and a plurality of OFDM symbols, of an inner product of the desired signal corresponding to one of the plurality of specified sub carriers and the sub carrier signal corresponding to one of the plurality of specified sub carrier obtained via one of the antennae.
16. The apparatus of claim 9, wherein the recovery unit further comprises:
a de-interleaver for de-interleaving the demodulated signal to form a de-interleaved signal corresponding to the specified sub carrier; and
an interleaver for interleaving the coded signal to form a interleaved signal corresponding to the specified sub carrier;
wherein the decoder is for decoding the de-interleaved signal to form the decoded signal; and
wherein the modulator is for modulating the interleaved signal to form the desired signal.