Lattice Delay Network

picture info	Lattice Delay Network Lattice delay networks are an important subgroup of lattice networks. They are all-pass filters, so they have a flat amplitude response, but a phase response which varies linearly (or almost linearly) with frequency. All lattice circuits, regardless of their complexity, are based on the schematic shown below, which contains two series impedances, Za, and two shunt impedances, Zb. Although there is duplication of impedances in this arrangement, it offers great flexibility to the circuit designer so that, in addition to its use as delay network (as featured here) it can be configured to be a phase corrector,Stewart J.L., "Fundamentals of Signal Theory", McGraw Hill, 1960 a dispersive network, an amplitude equalizer, or a low pass (or bandpass) filter,Guillemin E.A., Communication Networks, Vol II", Wiley N.Y., 1935 according to the choice of components for the lattice elements . It is shown in Lattice networks that when a lattice is configured as a delay network, it has a characteris ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Lattice Network A symmetrical lattice is a Two-port network, two-port electrical wave filter (signal processing), filter in which diagonally-crossed Shunt (electrical), shunt elements are present – a configuration which sets it apart from Electronic filter topology, ladder networks. The component arrangement of the lattice is shown in the diagram below. The filter properties of this circuit were first developed using image impedance concepts, but later the more general techniques of network analysis (electrical circuits), network analysis were applied to it. There is a duplication of components in the lattice network as the "series impedances" (instances of ''Z''a) and "shunt impedances" (instances of ''Z''b) both occur twice, an arrangement that offers increased flexibility to the circuit designer with a variety of responses achievable. It is possible for the lattice network to have the characteristics of: a delay network,Weinberg L., "Network Analysis and Synthesis", McGraw Hill 1962, ( ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Teledeltos Teledeltos paper is an electrically conductive paper. It is formed by a coating of carbon on one side of a sheet of paper, giving one black and one white side. Western Union developed Teledeltos paper in the late 1940s (several decades after it was already in use for mathematical modelling) for use in spark printer based fax machines and chart recorders. Teledeltos paper has several uses within engineering that are far removed from its original use in spark printers. Many of these use the paper to model the distribution of electric and other scalar fields. Use Teledeltos provides a sheet of a uniform resistor, with isotropic resistivity in each direction. As it is cheap and easily cut to shape, it may be used to make one-off resistors of any shape needed. The paper backing also forms a convenient insulator from the bench. These are usually made to represent or model some real-world example of a two-dimensional scalar field, where is it is necessary to study the field's distri ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Sixth Order MFD Using A Cascade Of Bridged-T Networks Sixth is the ordinal form of the number six. * The Sixth Amendment, to the U.S. Constitution * A keg of beer, equal to 5 U.S. gallons or barrel * The fraction Music * Sixth interval (music)s: major sixth, a musical interval minor sixth, a musical interval diminished sixth, an interval produced by narrowing a minor sixth by a chromatic semitone augmented sixth, an interval produced by widening a major sixth by a chromatic semitone * Sixth chord, two different kinds of chord * Submediant, sixth degree of the diatonic scale * Landini sixth, a type of cadence * Sixth (interval) Below is a list of intervals expressible in terms of a prime limit (see Terminology), completed by a choice of intervals in various equal subdivisions of the octave or of other intervals. For commonly encountered harmonic or melodic intervals b ... See also * * * '' The Sixth'', a 1981 Soviet film directed by Samvel Gasparov * The 6ths, a band created by Stephin Merritt * LaSext ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Sixth Order Delay By Lattice Cascade Sixth is the ordinal form of the number six. * The Sixth Amendment, to the U.S. Constitution * A keg of beer, equal to 5 U.S. gallons or barrel * The fraction Music * Sixth interval (music)s: major sixth, a musical interval minor sixth, a musical interval diminished sixth, an interval produced by narrowing a minor sixth by a chromatic semitone augmented sixth, an interval produced by widening a major sixth by a chromatic semitone * Sixth chord, two different kinds of chord * Submediant, sixth degree of the diatonic scale * Landini sixth, a type of cadence * Sixth (interval) Below is a list of intervals expressible in terms of a prime limit (see Terminology), completed by a choice of intervals in various equal subdivisions of the octave or of other intervals. For commonly encountered harmonic or melodic intervals b ... See also * * * '' The Sixth'', a 1981 Soviet film directed by Samvel Gasparov * The 6ths, a band created by Stephin Merritt * LaSext ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Sixth Order MFD In Unbalanced Configuration Sixth is the ordinal form of the number six. * The Sixth Amendment, to the U.S. Constitution * A keg of beer, equal to 5 U.S. gallons or barrel * The fraction Music * Sixth interval (music)s: major sixth, a musical interval minor sixth, a musical interval diminished sixth, an interval produced by narrowing a minor sixth by a chromatic semitone augmented sixth, an interval produced by widening a major sixth by a chromatic semitone * Sixth chord, two different kinds of chord * Submediant, sixth degree of the diatonic scale * Landini sixth, a type of cadence * Sixth (interval) Below is a list of intervals expressible in terms of a prime limit (see Terminology), completed by a choice of intervals in various equal subdivisions of the octave or of other intervals. For commonly encountered harmonic or melodic intervals b ... See also * * * '' The Sixth'', a 1981 Soviet film directed by Samvel Gasparov * The 6ths, a band created by Stephin Merritt * LaSext ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Lattice Delay Network, 6th Order MFD Lattice may refer to: Arts and design * Latticework, an ornamental criss-crossed framework, an arrangement of crossing laths or other thin strips of material * Lattice (music), an organized grid model of pitch ratios * Lattice (pastry), an ornamental pattern of crossing strips of pastry Companies * Lattice Engines, a technology company specializing in business applications for marketing and sales * Lattice Group, a former British gas transmission business * Lattice Semiconductor, a US-based integrated circuit manufacturer Science, technology, and mathematics Mathematics * Lattice (group), a repeating arrangement of points Lattice (discrete subgroup), a discrete subgroup of a topological group whose quotient carries an invariant finite Borel measure Lattice (module), a module over a ring which is embedded in a vector space over a field Lattice graph, a graph that can be drawn within a repeating arrangement of points Lattice-based cryptography, encryption systems ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Sine Squared In mathematics, sine and cosine are trigonometric functions of an angle. The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that of the hypotenuse. For an angle \theta, the sine and cosine functions are denoted simply as \sin \theta and \cos \theta. More generally, the definitions of sine and cosine can be extended to any real value in terms of the lengths of certain line segments in a unit circle. More modern definitions express the sine and cosine as infinite series, or as the solutions of certain differential equations, allowing their extension to arbitrary positive and negative values and even to complex numbers. The sine and cosine functions are commonly used to model periodic phenomena such as sound and li ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Phase Errors For Various Delay Networks Phase or phases may refer to: Science * State of matter, or phase, one of the distinct forms in which matter can exist * Phase (matter), a region of space throughout which all physical properties are essentially uniform Phase space, a mathematical space in which each possible state of a physical system is represented by a point — this equilibrium point is also referred to as a "microscopic state" * Phase space formulation, a formulation of quantum mechanics in phase space * Phase (waves), the position of a point in time (an instant) on a waveform cycle ** Instantaneous phase, generalization for both cyclic and non-cyclic phenomena * AC phase, the phase offset between alternating current electric power in multiple conducting wires Single-phase electric power, distribution of AC electric power in a system where the voltages of the supply vary in unison Three-phase electric power, a common method of AC electric power generation, transmission, and distribution * Phase problem ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Phase Errors For Power Series Delay Networks N=2 To 10) Phase or phases may refer to: Science * State of matter, or phase, one of the distinct forms in which matter can exist * Phase (matter), a region of space throughout which all physical properties are essentially uniform Phase space, a mathematical space in which each possible state of a physical system is represented by a point — this equilibrium point is also referred to as a "microscopic state" * Phase space formulation, a formulation of quantum mechanics in phase space * Phase (waves), the position of a point in time (an instant) on a waveform cycle ** Instantaneous phase, generalization for both cyclic and non-cyclic phenomena * AC phase, the phase offset between alternating current electric power in multiple conducting wires Single-phase electric power, distribution of AC electric power in a system where the voltages of the supply vary in unison Three-phase electric power, a common method of AC electric power generation, transmission, and distribution * Phase problem ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Phase Plot For 4th Order Power Series Approx Phase or phases may refer to: Science * State of matter, or phase, one of the distinct forms in which matter can exist * Phase (matter), a region of space throughout which all physical properties are essentially uniform Phase space, a mathematical space in which each possible state of a physical system is represented by a point — this equilibrium point is also referred to as a "microscopic state" * Phase space formulation, a formulation of quantum mechanics in phase space * Phase (waves), the position of a point in time (an instant) on a waveform cycle ** Instantaneous phase, generalization for both cyclic and non-cyclic phenomena * AC phase, the phase offset between alternating current electric power in multiple conducting wires Single-phase electric power, distribution of AC electric power in a system where the voltages of the supply vary in unison Three-phase electric power, a common method of AC electric power generation, transmission, and distribution * Phase problem ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Phase Error Plots For MFD Networks Phase or phases may refer to: Science * State of matter, or phase, one of the distinct forms in which matter can exist * Phase (matter), a region of space throughout which all physical properties are essentially uniform Phase space, a mathematical space in which each possible state of a physical system is represented by a point — this equilibrium point is also referred to as a "microscopic state" * Phase space formulation, a formulation of quantum mechanics in phase space * Phase (waves), the position of a point in time (an instant) on a waveform cycle ** Instantaneous phase, generalization for both cyclic and non-cyclic phenomena * AC phase, the phase offset between alternating current electric power in multiple conducting wires Single-phase electric power, distribution of AC electric power in a system where the voltages of the supply vary in unison Three-phase electric power, a common method of AC electric power generation, transmission, and distribution * Phase problem ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]

picture info	Lattice Delay Network Lattice delay networks are an important subgroup of lattice networks. They are all-pass filters, so they have a flat amplitude response, but a phase response which varies linearly (or almost linearly) with frequency. All lattice circuits, regardless of their complexity, are based on the schematic shown below, which contains two series impedances, Za, and two shunt impedances, Zb. Although there is duplication of impedances in this arrangement, it offers great flexibility to the circuit designer so that, in addition to its use as delay network (as featured here) it can be configured to be a phase corrector,Stewart J.L., "Fundamentals of Signal Theory", McGraw Hill, 1960 a dispersive network, an amplitude equalizer, or a low pass (or bandpass) filter,Guillemin E.A., Communication Networks, Vol II", Wiley N.Y., 1935 according to the choice of components for the lattice elements . It is shown in Lattice networks that when a lattice is configured as a delay network, it has a characteris ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Lattice Network A symmetrical lattice is a Two-port network, two-port electrical wave filter (signal processing), filter in which diagonally-crossed Shunt (electrical), shunt elements are present – a configuration which sets it apart from Electronic filter topology, ladder networks. The component arrangement of the lattice is shown in the diagram below. The filter properties of this circuit were first developed using image impedance concepts, but later the more general techniques of network analysis (electrical circuits), network analysis were applied to it. There is a duplication of components in the lattice network as the "series impedances" (instances of ''Z''a) and "shunt impedances" (instances of ''Z''b) both occur twice, an arrangement that offers increased flexibility to the circuit designer with a variety of responses achievable. It is possible for the lattice network to have the characteristics of: a delay network,Weinberg L., "Network Analysis and Synthesis", McGraw Hill 1962, ( ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Teledeltos Teledeltos paper is an electrically conductive paper. It is formed by a coating of carbon on one side of a sheet of paper, giving one black and one white side. Western Union developed Teledeltos paper in the late 1940s (several decades after it was already in use for mathematical modelling) for use in spark printer based fax machines and chart recorders. Teledeltos paper has several uses within engineering that are far removed from its original use in spark printers. Many of these use the paper to model the distribution of electric and other scalar fields. Use Teledeltos provides a sheet of a uniform resistor, with isotropic resistivity in each direction. As it is cheap and easily cut to shape, it may be used to make one-off resistors of any shape needed. The paper backing also forms a convenient insulator from the bench. These are usually made to represent or model some real-world example of a two-dimensional scalar field, where is it is necessary to study the field's distri ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Sixth Order MFD Using A Cascade Of Bridged-T Networks Sixth is the ordinal form of the number six. * The Sixth Amendment, to the U.S. Constitution * A keg of beer, equal to 5 U.S. gallons or barrel * The fraction Music * Sixth interval (music)s: major sixth, a musical interval minor sixth, a musical interval diminished sixth, an interval produced by narrowing a minor sixth by a chromatic semitone augmented sixth, an interval produced by widening a major sixth by a chromatic semitone * Sixth chord, two different kinds of chord * Submediant, sixth degree of the diatonic scale * Landini sixth, a type of cadence * Sixth (interval) Below is a list of intervals expressible in terms of a prime limit (see Terminology), completed by a choice of intervals in various equal subdivisions of the octave or of other intervals. For commonly encountered harmonic or melodic intervals b ... See also * * * '' The Sixth'', a 1981 Soviet film directed by Samvel Gasparov * The 6ths, a band created by Stephin Merritt * LaSext ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Sixth Order Delay By Lattice Cascade Sixth is the ordinal form of the number six. * The Sixth Amendment, to the U.S. Constitution * A keg of beer, equal to 5 U.S. gallons or barrel * The fraction Music * Sixth interval (music)s: major sixth, a musical interval minor sixth, a musical interval diminished sixth, an interval produced by narrowing a minor sixth by a chromatic semitone augmented sixth, an interval produced by widening a major sixth by a chromatic semitone * Sixth chord, two different kinds of chord * Submediant, sixth degree of the diatonic scale * Landini sixth, a type of cadence * Sixth (interval) Below is a list of intervals expressible in terms of a prime limit (see Terminology), completed by a choice of intervals in various equal subdivisions of the octave or of other intervals. For commonly encountered harmonic or melodic intervals b ... See also * * * '' The Sixth'', a 1981 Soviet film directed by Samvel Gasparov * The 6ths, a band created by Stephin Merritt * LaSext ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Sixth Order MFD In Unbalanced Configuration Sixth is the ordinal form of the number six. * The Sixth Amendment, to the U.S. Constitution * A keg of beer, equal to 5 U.S. gallons or barrel * The fraction Music * Sixth interval (music)s: major sixth, a musical interval minor sixth, a musical interval diminished sixth, an interval produced by narrowing a minor sixth by a chromatic semitone augmented sixth, an interval produced by widening a major sixth by a chromatic semitone * Sixth chord, two different kinds of chord * Submediant, sixth degree of the diatonic scale * Landini sixth, a type of cadence * Sixth (interval) Below is a list of intervals expressible in terms of a prime limit (see Terminology), completed by a choice of intervals in various equal subdivisions of the octave or of other intervals. For commonly encountered harmonic or melodic intervals b ... See also * * * '' The Sixth'', a 1981 Soviet film directed by Samvel Gasparov * The 6ths, a band created by Stephin Merritt * LaSext ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Lattice Delay Network, 6th Order MFD Lattice may refer to: Arts and design * Latticework, an ornamental criss-crossed framework, an arrangement of crossing laths or other thin strips of material * Lattice (music), an organized grid model of pitch ratios * Lattice (pastry), an ornamental pattern of crossing strips of pastry Companies * Lattice Engines, a technology company specializing in business applications for marketing and sales * Lattice Group, a former British gas transmission business * Lattice Semiconductor, a US-based integrated circuit manufacturer Science, technology, and mathematics Mathematics * Lattice (group), a repeating arrangement of points Lattice (discrete subgroup), a discrete subgroup of a topological group whose quotient carries an invariant finite Borel measure Lattice (module), a module over a ring which is embedded in a vector space over a field Lattice graph, a graph that can be drawn within a repeating arrangement of points Lattice-based cryptography, encryption systems ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Sine Squared In mathematics, sine and cosine are trigonometric functions of an angle. The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that of the hypotenuse. For an angle \theta, the sine and cosine functions are denoted simply as \sin \theta and \cos \theta. More generally, the definitions of sine and cosine can be extended to any real value in terms of the lengths of certain line segments in a unit circle. More modern definitions express the sine and cosine as infinite series, or as the solutions of certain differential equations, allowing their extension to arbitrary positive and negative values and even to complex numbers. The sine and cosine functions are commonly used to model periodic phenomena such as sound and li ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Phase Errors For Various Delay Networks Phase or phases may refer to: Science * State of matter, or phase, one of the distinct forms in which matter can exist * Phase (matter), a region of space throughout which all physical properties are essentially uniform Phase space, a mathematical space in which each possible state of a physical system is represented by a point — this equilibrium point is also referred to as a "microscopic state" * Phase space formulation, a formulation of quantum mechanics in phase space * Phase (waves), the position of a point in time (an instant) on a waveform cycle ** Instantaneous phase, generalization for both cyclic and non-cyclic phenomena * AC phase, the phase offset between alternating current electric power in multiple conducting wires Single-phase electric power, distribution of AC electric power in a system where the voltages of the supply vary in unison Three-phase electric power, a common method of AC electric power generation, transmission, and distribution * Phase problem ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Phase Errors For Power Series Delay Networks N=2 To 10) Phase or phases may refer to: Science * State of matter, or phase, one of the distinct forms in which matter can exist * Phase (matter), a region of space throughout which all physical properties are essentially uniform Phase space, a mathematical space in which each possible state of a physical system is represented by a point — this equilibrium point is also referred to as a "microscopic state" * Phase space formulation, a formulation of quantum mechanics in phase space * Phase (waves), the position of a point in time (an instant) on a waveform cycle ** Instantaneous phase, generalization for both cyclic and non-cyclic phenomena * AC phase, the phase offset between alternating current electric power in multiple conducting wires Single-phase electric power, distribution of AC electric power in a system where the voltages of the supply vary in unison Three-phase electric power, a common method of AC electric power generation, transmission, and distribution * Phase problem ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Phase Plot For 4th Order Power Series Approx Phase or phases may refer to: Science * State of matter, or phase, one of the distinct forms in which matter can exist * Phase (matter), a region of space throughout which all physical properties are essentially uniform Phase space, a mathematical space in which each possible state of a physical system is represented by a point — this equilibrium point is also referred to as a "microscopic state" * Phase space formulation, a formulation of quantum mechanics in phase space * Phase (waves), the position of a point in time (an instant) on a waveform cycle ** Instantaneous phase, generalization for both cyclic and non-cyclic phenomena * AC phase, the phase offset between alternating current electric power in multiple conducting wires Single-phase electric power, distribution of AC electric power in a system where the voltages of the supply vary in unison Three-phase electric power, a common method of AC electric power generation, transmission, and distribution * Phase problem ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Phase Error Plots For MFD Networks Phase or phases may refer to: Science * State of matter, or phase, one of the distinct forms in which matter can exist * Phase (matter), a region of space throughout which all physical properties are essentially uniform Phase space, a mathematical space in which each possible state of a physical system is represented by a point — this equilibrium point is also referred to as a "microscopic state" * Phase space formulation, a formulation of quantum mechanics in phase space * Phase (waves), the position of a point in time (an instant) on a waveform cycle ** Instantaneous phase, generalization for both cyclic and non-cyclic phenomena * AC phase, the phase offset between alternating current electric power in multiple conducting wires Single-phase electric power, distribution of AC electric power in a system where the voltages of the supply vary in unison Three-phase electric power, a common method of AC electric power generation, transmission, and distribution * Phase problem ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]