Methods for transmitting a waveform having a controllable attenuation and propagation velocity
AssigneeBoard of Regents, The University of Texas System
InventorRobert H. Flake
Life of this patent
Estimating the term…
Abstract
Methods for driving a lossy transmission media with an energy wave defined by a an exponential waveform function. The propagation delay and attenuation of the wave is a function of an exponential coefficient, and its propagation velocity is essentially constant and independent of displacement. Utilizing relationships between the propagation velocity, exponential coefficient, attenuation, and transmission line parameters, one may effectively model various transmission media. One may also determine unknown transmission line parameters, waveform exponential coefficients, attenuation, and/or propagation velocities by utilizing those relationships. By modulating the exponential coefficient, information may be encoded onto a waveform.
Claims62
A method for transmitting a waveform having an essentially constant propagation velocity along a transmission line, comprising:
- generating an exponential waveform, the exponential waveform (a) being characterized by the equation Vin=Deαt+A+f(t), where Vin is a voltage, t is time, D and A are constants, α is an exponential coefficient, and f(t) is a function of time and (b) being truncated at a maximum value;
- and
- applying the waveform to the transmission line to transmit the waveform at an essentially constant propagation velocity, the propagation velocity being related to α and a transmission parameter of the transmission line.
A method for transmitting a waveform along a transmission line, comprising:
- generating an exponential waveform, the exponential waveform (a) being characterized by the equation Vin=Deαt+A+f(t), where Vin is a voltage, t is time, D and A are constants, α is an exponential coefficient, and f(t) is a function of time and (b) being truncated at a maximum value;
- and
- applying the waveform to the transmission line to transmit the waveform such that an attenuation constant of the waveform is related to α and a transmission parameter of the transmission line.
A method for calculating an unknown waveform transmission characteristic from two known waveform transmission characteristics, comprising:
- constructing an exponential waveform capable of being transmitted along a transmission line with an essentially constant propagation velocity, the propagation velocity being related to a transmission parameter of the transmission line and to an exponential coefficient of the waveform;
- the transmission parameter defining a first unknown waveform transmission characteristic, the propagation velocity defining a second unknown waveform transmission characteristic, and the exponential coefficient defining a third unknown waveform transmission characteristic;
- and
- calculating one of the three unknown waveform transmission characteristics by setting the remaining two of the three unknown waveform transmission characteristics equal to two known waveform transmission characteristics.
A method for calculating an unknown waveform transmission characteristic from two known waveform transmission characteristics, comprising:
- constructing an exponential waveform capable of being transmitted along a transmission line with an attenuation constant related to a transmission parameter of the transmission line and to an exponential coefficient of the waveform;
- the transmission parameter defining a first unknown waveform transmission characteristic, the attenuation constant defining a second unknown waveform transmission characteristic, and the exponential coefficient defining a third unknown waveform transmission characteristic;
- and
- calculating one of the three unknown waveform transmission characteristics by setting the remaining two of the three unknown waveform transmission characteristics equal to two known waveform transmission characteristics.
A method for transmitting a waveform having an essentially constant propagation velocity along a transmission line, comprising:
- generating an exponential waveform, the exponential waveform being characterized by an exponential coefficient α;
- applying the waveform to the transmission line to transmit the waveform at an essentially constant propagation velocity, the propagation velocity being related to α and a transmission parameter of the transmission line;
- and
- varying α in response to an input signal to a waveform generator.
A method for transmitting a waveform having an essentially constant propagation velocity along a transmission line, comprising:
- generating an exponential waveform, the exponential waveform being characterized by an exponential coefficient α;
- applying the waveform to the transmission line to transmit the waveform at an essentially constant propagation velocity, the propagation velocity being related to α and a transmission parameter of the transmission line;
- determining the propagation velocity;
- and
- calculating the transmission parameter using the propagation velocity and the exponential coefficient.
A method for transmitting a waveform having an essentially constant propagation velocity along a transmission line, comprising:
- generating an exponential waveform, the exponential waveform being characterized by an exponential coefficient α;
- applying the waveform to the transmission line to transmit the waveform at an essentially constant propagation velocity, the propagation velocity being related to α and a transmission parameter of the transmission line;
- and
- determining an impedance discontinuity of the transmission line and its location using the exponential coefficient, the propagation velocity, and the transmission parameter.
A method for transmitting a waveform having an essentially constant propagation velocity along a transmission line, comprising:
- generating an exponential waveform, the exponential waveform being characterized by an exponential coefficient α;
- applying the waveform to the transmission line to transmit the waveform at an essentially constant propagation velocity, the propagation velocity being related to α and a transmission parameter of the transmission line;
- and
- modulating the exponential coefficient α to encode information onto the waveform.
A method for transmitting a waveform along a transmission line, comprising:
- generating an exponential waveform, the exponential waveform being characterized by an exponential coefficient α;
- applying the waveform to the transmission line to transmit the waveform such that an attenuation constant of the waveform is related to α and a transmission parameter of the transmission line;
- and
- determining an impedance discontinuity of the transmission line and its location using the exponential coefficient, the attenuation constant, and the transmission parameter.
A method for determining an impedance discontinuity of the transmission line and its location, comprising:
- generating an exponential waveform, the exponential waveform (a) being characterized by the equation Vin=Deαt+A+f(t), where Vin is a voltage, t is time, D and A are constants, α is an exponential coefficient, and f(t) is a function of time and (b) being truncated at a maximum value;
- applying the waveform to the transmission line to transmit the waveform at an essentially constant propagation velocity, the propagation velocity being related to α and a transmission parameter of the transmission line;
- and
- determining an impedance discontinuity of the transmission line and its location using a time of flight of the waveform along the transmission line.
A method for transmitting a waveform having an essentially constant propagation velocity along three-dimensional media, comprising:
- generating an exponential waveform, the exponential waveform (a) being characterized by the equation Vin=Deαt+A+f(t), where Vin is a voltage, t is time, D and A are constants, α is an exponential coefficient, and f(t) is a function of time and (b) being truncated at a maximum value;
- applying the waveform to the three dimensional media to transmit the waveform at an essentially constant propagation velocity, the propagation velocity being related to α and a transmission parameter of the transmission line;
- and
- changing the exponential coefficient α to control the depth of penetration of the waveform within the three dimensional media.
Dependencies are inferred from the claim text.