Applets:Periodendauer periodischer Signale: Unterschied zwischen den Versionen
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}); | }); | ||
// Erstellen der Schieberegler | // Erstellen der Schieberegler | ||
| − | + | sldA1 = cnfBox.create('slider', [ [-0.7, 1.5], [3, 1.5], [0, 0.5, 1] ], { | |
suffixlabel: '$A_1=$', | suffixlabel: '$A_1=$', | ||
unitLabel: 'V', snapWidth: 0.01 | unitLabel: 'V', snapWidth: 0.01 | ||
}), | }), | ||
| − | + | sldF1 = cnfBox.create('slider', [ [-0.7, 0.5], [3, 0.5], [0, 1, 10] ], { | |
suffixlabel: '$f_1=$', | suffixlabel: '$f_1=$', | ||
unitLabel: 'kHz', snapWidth: 0.1 | unitLabel: 'kHz', snapWidth: 0.1 | ||
}), | }), | ||
| − | + | sldPHI1 = cnfBox.create('slider', [ [-0.7, -0.5], [3, -0.5], [-180, 0, 180] ], { | |
suffixlabel: '$\\phi_1=$', | suffixlabel: '$\\phi_1=$', | ||
unitLabel: 'Grad', snapWidth: 5 | unitLabel: 'Grad', snapWidth: 5 | ||
}), | }), | ||
| − | + | sldA2 = cnfBox.create('slider', [ [6, 1.5], [9.7, 1.5], [0, 0.5, 1] ], { | |
suffixlabel: '$A_2=$', | suffixlabel: '$A_2=$', | ||
unitLabel: 'V', snapWidth: 0.01 | unitLabel: 'V', snapWidth: 0.01 | ||
}), | }), | ||
| − | + | sldF2 = cnfBox.create('slider', [ [6, 0.5], [9.7, 0.5], [0, 2, 10] ], { | |
suffixlabel: '$f_2=$', | suffixlabel: '$f_2=$', | ||
unitLabel: 'kHz', snapWidth: 0.1 | unitLabel: 'kHz', snapWidth: 0.1 | ||
}), | }), | ||
| − | + | sldPHI2 = cnfBox.create('slider', [ [6, -0.5], [9.7, -0.5], [-180, 90, 180] ], { | |
suffixlabel: '$\\phi_2=$', | suffixlabel: '$\\phi_2=$', | ||
unitLabel: 'Grad', snapWidth: 5 | unitLabel: 'Grad', snapWidth: 5 | ||
}), | }), | ||
| − | + | sldT = cnfBox.create('slider', [ [-0.7, -1.5], [3, -1.5], [0, 0, 10] ], { | |
suffixlabel: '$t=$', | suffixlabel: '$t=$', | ||
unitLabel: 's', snapWidth: 0.2 | unitLabel: 's', snapWidth: 0.2 | ||
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// Definition der Funktion | // Definition der Funktion | ||
signaldarstellung = pltBox.create('functiongraph', [function(x) { | signaldarstellung = pltBox.create('functiongraph', [function(x) { | ||
| − | return ( | + | return (sldA1.Value() * Math.cos(2 * Math.PI * sldF1.Value() * x - 2 * Math.PI * sldPHI1.Value() / 360) + sldA2.Value() * Math.cos(2 * Math.PI * sldF2.Value() * x - 2 * Math.PI * sldPHI2.Value() / 360)) |
}], { | }], { | ||
strokeColor: "red" | strokeColor: "red" | ||
| Zeile 118: | Zeile 118: | ||
}, | }, | ||
function() { | function() { | ||
| − | return | + | return sldA1.Value() * Math.cos(2 * Math.PI * sldF1.Value() * (Math.round(getT0() * 100) / 100) - 2 * Math.PI * sldPHI1.Value() / 360) + |
| − | + | sldA2.Value() * Math.cos(2 * Math.PI * sldF2.Value() * (Math.round(getT0() * 100) / 100) - 2 * Math.PI * sldPHI2.Value() / 360); | |
}], | }], | ||
{ color: "blue", fixed: true, label: false, size: 1, name: '' } | { color: "blue", fixed: true, label: false, size: 1, name: '' } | ||
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function getT0() { | function getT0() { | ||
var A, B, C, Q; | var A, B, C, Q; | ||
| − | if ( | + | if (sldF1.Value() < sldF2.Value()) { |
| − | A = | + | A = sldF1.Value(); |
| − | B = | + | B = sldF2.Value(); |
} else { | } else { | ||
| − | B = | + | B = sldF1.Value(); |
| − | A = | + | A = sldF2.Value(); |
} | } | ||
// console.log('Berechne T0 mit A=' + A, 'B=' + B); | // console.log('Berechne T0 mit A=' + A, 'B=' + B); | ||
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// Ausgabe des Wertes x(t) | // Ausgabe des Wertes x(t) | ||
setInterval(function() { | setInterval(function() { | ||
| − | document.getElementById("x(t)").innerHTML = Math.round(( | + | document.getElementById("x(t)").innerHTML = Math.round((sldA1.Value() * Math.cos(2 * Math.PI * sldF1.Value() * sldT.Value() - 2 * Math.PI * sldPHI1.Value() / 360) + sldA2.Value() * Math.cos(2 * Math.PI * sldF2.Value() * sldT.Value() - 2 * Math.PI * sldPHI2.Value() / |
360)) * 1000) / 1000; | 360)) * 1000) / 1000; | ||
}, 50); | }, 50); | ||
// Ausgabe des Wertes x(t+T_0) | // Ausgabe des Wertes x(t+T_0) | ||
setInterval(function() { | setInterval(function() { | ||
| − | document.getElementById("x(t+T_0)").innerHTML = Math.round(( | + | document.getElementById("x(t+T_0)").innerHTML = Math.round((sldA1.Value() * Math.cos(2 * Math.PI * sldF1.Value() * (sldT.Value() + Math.round(getT0() * 1000) / 1000) - sldPHI1.Value()) + sldA2.Value() * Math.cos(2 * Math.PI * sldF2.Value() * (sldT.Value() + |
| − | Math.round(getT0() * 1000) / 1000) - | + | Math.round(getT0() * 1000) / 1000) - sldPHI2.Value())) * 1000) / 1000; |
}, 50); | }, 50); | ||
// Ausgabe des Wertes x(t+2T_0) | // Ausgabe des Wertes x(t+2T_0) | ||
setInterval(function() { | setInterval(function() { | ||
| − | document.getElementById("x(t+2T_0)").innerHTML = Math.round(( | + | document.getElementById("x(t+2T_0)").innerHTML = Math.round((sldA1.Value() * Math.cos(2 * Math.PI * sldF1.Value() * (sldT.Value() + 2 * Math.round(getT0() * 1000) / 1000) - sldPHI1.Value()) + sldA2.Value() * Math.cos(2 * Math.PI * sldF2.Value() * (sldT.Value() + |
| − | 2 * Math.round(getT0() * 1000) / 1000) - | + | 2 * Math.round(getT0() * 1000) / 1000) - sldPHI2.Value())) * 1000) / 1000; |
}, 50); | }, 50); | ||
// Ausgabe des Wertes x_max | // Ausgabe des Wertes x_max | ||
| Zeile 179: | Zeile 179: | ||
var x = new Array(50000); | var x = new Array(50000); | ||
for (var i = 0; i < 50001; i++) { | for (var i = 0; i < 50001; i++) { | ||
| − | x[i] = Math.round(( | + | x[i] = Math.round((sldA1.Value() * Math.cos(2 * Math.PI * sldF1.Value() * (i / 1000) - 2 * Math.PI * sldPHI1.Value() / 360) + sldA2.Value() * Math.cos(2 * Math.PI * sldF2.Value() * (i / 1000) - 2 * Math.PI * sldPHI2.Value() / 360)) * 1000) / 1000; |
} | } | ||
document.getElementById("x_max").innerHTML = Math.max.apply(Math, x); | document.getElementById("x_max").innerHTML = Math.max.apply(Math, x); | ||
Version vom 18. September 2017, 09:17 Uhr
Funktion: $$x(t) = A_1\cdot cos\Big(2\pi f_1\cdot t- \frac{2\pi}{360}\cdot \phi_1\Big)+A_2\cdot cos\Big(2\pi f_2\cdot t- \frac{2\pi}{360}\cdot \phi_2\Big)$$
| $x(t)$= | $x(t+ T_0)$= | $x(t+2T_0)$= |
| $x_{\text{max}}$= | $T_0$= |
