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General Non-linearity

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Presentation on theme: "General Non-linearity"— Presentation transcript:

1 General Non-linearity
x f( ) y = f(x) Any f(x) can be represented as a Taylor series expansion: a0 represents a DC offset a1 represents the linear gain a2 represents the 2nd order response a3 represents the 3rd order response etc We model devices as linear, but no practical devices are perfectly linear, so the Taylor coefficients are small, but not zero. We are going to examine the second order response when the input, x, is the sum of two sinusoids having different amplitudes and different frequencies:

2 Let w2 = wRF wX = w2 – w1 w1 = wLO = wRF – wIF
The amplitude of the difference term is proportional to the product of the amplitudes of the generating signals. Let w2 = wRF w1 = wLO = wRF – wIF (Low side injection) wX = w2 – w1 Difference Frequency Then wX = wRF – wLO = wIF A 1 dB increase in the amplitude of either generating signal creates a 1 dB increase in the second order difference term. wIF wIF wLO wRF

3 Mixer Circuits

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9 It’s a Radio! A crappy one, to be sure, but …


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