1. A method of producing a positive electrode for a non-aqueous electrolyte secondary battery, which comprises the steps of:
(I) a step of producing a mixed solution by adding at least one lithium-containing composite oxide selected from the group consisting of LiCoO2, LiNiO2 and LiMn2O4 and an alkoxide of at least one metal selected from the group consisting of titanium, aluminum, zinc, chromium, lithium, nickel, copper and iron to an organic solvent and mixing them;
(II) a step of adding water to the mixed solution to produce a metal hydroxide;
(III) a step of changing the resulting metal hydroxide into a metal oxide by heating and drying a solution containing the metal hydroxide and dispersing the metal oxide between particles of the lithium-containing composite oxide to produce powder for a positive electrode; and
(IV) a step of shaping the powder for a positive electrode to produce a positive electrode.
2. A method of producing a positive electrode for a non-aqueous electrolyte secondary battery according to claim 1, wherein the metal is titanium.
3. A method of producing a positive electrode for a non-aqueous electrolyte secondary battery according to claim 1, wherein the alkoxide of the metal is titanium isopropoxide (Ti OCH(CH3)24).
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 of of converting input data samples provided at a first sample rate to an analog output signal, comprising the steps of:
converting, by a Delta Sigma Modulator (DSM) in a Digital to Analog Converter (DAC), where internal states of the DSM are updated at a second sample rate unequal to the first sample rate, the input data samples to produce output data samples at the second sample rate;
in response to a new input sample arriving at a time different from an update of the internal states of the DSM, modifying at least one internal state of the DSM to account for the time difference; and
converting the output samples to an analog output signal,
wherein the step of modifying comprises the step of modifying the at least one internal state in response to an amount of time elapsing between when an input data sample arrives and the update of the internal states of the DSM.
2. The method of claim 1, wherein the input changes value no more than once per update of the internal states of the DSM.
3. The method of claim 1, wherein the DAC comprises a Multiple Element DAC.
4. The method of claim 1, wherein the at least one internal state comprises at least one element of vector X, vector X representing current states, vector X\u2032 representing what the states will be at the next point in time, vector U representing an input to the filter, and vector Y representing output of the filter, and matrices A, B\u2032, C, and D determine how the states variables are updated and how outputs are made from the internal states, wherein internal state descriptions are represented as
X\u2032=AX+B\u2032U
Y=CX+DU
X=z\u22121X\u2032
wherein the B\u2032 matrix comprises a column matrix whose elements are polynomials in z\u22121.
5. The method of claim 4, wherein the B\u2032 matrix comprises a column matrix whose elements are polynomials of the time difference, wherein the polynomials are of increasing degree.
6. A method of claim of converting input data samples provided at a first sample rate to an analog output signal, comprising the steps of:
converting, by a Delta Sigma Modulator (DSM) in a Digital to Analog Converter (DAC), where internal states of the DSM are updated at a second sample rate unequal to the first sample rate, the input data samples to produce output data samples at the second sample rate;
in response to a new input sample arriving at a time different from an update of the internal states of the DSM, modifying at least one internal state of the DSM to account for the time difference; and
converting the output samples to an analog output signal,
wherein the step of modifying comprises the step of modifying the at least one internal state in response to a difference in input value before the input data sample arrives at a time different from the update of the internal states of the DSM, and the input value after the input data sample arrives at a time different from the update of the internal states of the DSM.
7. A method of converting input data samples provided at a first sample rate to an analog output signal comprising the steps of:
converting, by a Delta Sigma Modulator (DSM) in a Digital to Analog Converter (DAC), where internal states of the DSM are updated at a second sample rate unequal to the first sample rate, the input data samples to produce output data samples at the second sample rate;
in response to a new input sample arriving at a time different from an update of the internal states of the DSM, modifying at least one internal state of the DSM to account for the time difference; and
converting the output samples to an analog output signal,
wherein the DAC further comprises a Pulse Width Modulator (PWM).
8. The method of claim 7 wherein the DSM further comprises a plurality of non-linear correction terms in a modulator feedback.
9. A method of converting input data samples provided at a first sample rate to an analog output signal, comprising the steps of:
converting, by a Delta Sigma Modulator (DSM) in a Digital to Analog Converter (DAC), where internal states of the DSM are updated at a second sample rate unequal to the first sample rate, the input data samples to produce output data samples at the second sample rate, the first and second sample rates being either an integer multiple of one another or not an integer multiple of one another;
when the first and second sample rates are not an integer multiple of one other, in response to a new input sample arriving at a time different from an update of the internal states of the DSM, modifying at least one internal state of the DSM to account for the time difference; and
converting the output samples to an analog output signal,
wherein the DAC comprises a Multiple Element DAC, and
wherein the Multiple Element DAC further comprises Dynamic Element Matching circuitry.
10. An apparatus for converting input data samples provided at a first sample rate to analog output signals the apparatus comprising:
a Delta Sigma Modulator (DSM) having internal states that are updated at a second sample rate unequal to the first sample rate, filtering the input data samples to produce output data samples at the second sample rate;
sample rate conversion compensation circuitry for modifying at least one internal state of the DSM in response to a new input sample arriving at a time differing from the update of the internal states of the DSM, to account for the time difference; and
a Digital to Analog Converter (DAC) for converting the output data samples at the second sample rate to an analog output signal,
wherein the sample rate conversion compensation circuitry modifies the at least one internal state in response to an amount of time elapsing between when an input data sample arrives and updates of the internal states of the DSM.
11. The apparatus of claim 10, wherein the input changes value no more than once per update of the internal states of the DSM.
12. The apparatus of claim 10, wherein the DAC comprises a Multiple Element DAC.
13. The apparatus of claim 10, wherein the at least one internal state comprises at least one element of vector X, vector X representing current states, vector X\u2032 representing what the states will be at the next point in time, vector U representing an input to the filter, and vector Y representing output of the filter, and matrices A, B\u2032, C, and D determine how the states variables are updated and how outputs are made from the internal states, wherein internal state descriptions are represented as
X\u2032=AX+B\u2032U
Y=CX+DU
X=z\u22121X\u2032
wherein the B\u2032 matrix comprises a column matrix whose elements are polynomials in z\u22121.
14. The apparatus of claim 13, wherein the B\u2032 matrix comprises a column matrix whose elements are polynomials of the time difference, wherein the polynomials are of increasing degree.
15. An apparatus for converting input data samples provided at a first sample rate to analog output signals, the apparatus comprising:
a Delta Sigma Modulator (DSM) having internal states that are updated at a second sample rate unequal to the first sample rate, filtering the input data samples to produce output data samples at the second sample rate;
sample rate conversion compensation circuitry for modifying at least one internal state of the DSM in response to a new input sample arriving at a time differing from the update of the internal states of the DSM, to account for the time difference; and
a Digital to Analog Converter (DAC) for converting the output data samples at the second sample rate to an analog output signal,
wherein the sample rate conversion compensation circuitry modifies the at least one internal state in response to a difference in input value before the input data sample arrives at a time different from the update of the internal states of the DSM, and the input value after the input data sample arrives at a time different from the update of the internal states of the DSM.
16. An apparatus for converting input data samples provided at a first sample rate to analog output signals, the apparatus comprising:
a Delta Sigma Modulator (DSM) having internal states that are updated at a second sample rate unequal to the first sample rate, filtering the input data samples to produce output data samples at the second sample rate;
sample rate conversion compensation circuitry for modifying at least one internal state of the DSM in response to a new input sample arriving at a time differing from the update of the internal states of the DSM, to account for the time difference; and
a Digital to Analog Converter (DAC) for converting the output data samples at the second sample rate to an analog output signal,
wherein the DAC further comprises a Pulse Width Modulator (PWM).
17. The apparatus of claim 16, wherein the DSM further comprises a plurality of non-linear correction terms in a modulator feedback.
18. An apparatus for converting input data samples provided at a first sample rate to analog output signals the apparatus comprising:
a Delta Sigma Modulator (DSM) having internal states that are updated at a second sample rate unequal to the first sample rate, filtering the input data samples to produce output data samples at the second sample rate;
sample rate conversion compensation circuitry for modifying at least one internal state of the DSM in response to a new input sample arriving at a time differing from the update of the internal states of the DSM, to account for the time difference; and
a Digital to Analog Converter (DAC) for converting the output data samples at the second sample rate to an analog output signal,
wherein the DAC comprises a Multiple Element DAC, and
wherein the Multiple Element DAC further comprises Dynamic Element Matching circuitry.