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2011 EMC Directory & Design Guide - Interference Technology

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M e a s ur e m e n t s a b o v e 1 GHz in Time-Domain<br />

µ<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

yielding a total frequency shift of<br />

δf = 6 · 10 MHz = 60 MHz (9)<br />

for the 6th harmonic.<br />

CONCLUSION<br />

The theory and application of time-domain EMI measurement<br />

systems according to CISPR 16-1-1 have been presented.<br />

Such measurement systems allow to reduce test time, and<br />

to perform investigations of the emission of ISM equipment<br />

above 1 GHz. As such emission measurement systems allow<br />

for real-time measurements over large frequency bands, the<br />

non-stationary behavior of the electromagnetic interference<br />

can be measured and weighted.<br />

<br />

<br />

<br />

Figure 8. Emission spectrum of a microwave oven.<br />

system’s real-time capability allows for the examination of<br />

the time-behavior of the magnetron’s fundamental. The<br />

spectrogram is shown in Figure 9. The microwave oven<br />

was set to a medium power level, where the magnetron is<br />

periodically turning on and off. After a short broadband<br />

switching pulse, the magnetron turns on at around 3 s in<br />

time and turns off at around 9 s. The magnetron’s output<br />

frequency changes by about 10 MHz over this time-period,<br />

as the oscillator is freerunning.<br />

The microwave oven’s magnetron exhibits a non-linear<br />

transfer function and therefore, higher harmonics can be<br />

seen in the radiated emission spectrum. Figure 10 shows a<br />

spectrogram of the microwave oven’s emission at the 6th<br />

harmonic, located at around 14.74 GHz. The maximum<br />

electric field strength of the microwave oven’s radiated<br />

emission is about 70 dBμV/m at this frequency. With its<br />

ultra-low system noise floor and the corresponding high<br />

sensitivity, the time-domain EMI measurement system is<br />

able to measure this low-level emission in real-time.<br />

The frequency shift of the free-running oscillator’s<br />

6th harmonic equals around 60 MHz. The microwave<br />

oven’s magnetron can be described as a non-linear system<br />

[12]. Thus, the output signal y(t) contains harmonics<br />

of the sinusoidal input signal which can be described as<br />

y(t) = A n · cos(n2πft), n = 1, 2, ... .<br />

(6)<br />

The frequency shift of the magnetron’s fundamental resembles<br />

a frequency modulation of the output signal y(t)<br />

according to<br />

y(t) = A · cos[2πt(f + δf)].<br />

(7)<br />

Thus, the frequency modulated magnetron’s harmonics can<br />

be described as<br />

y(t) = A n · cos[n2πt(f + δf)], n = 1, 2, ... ,<br />

(8)<br />

REFERENCES<br />

• [1] CISPR 16-1-1, Ed. 3.1 Am. 1, "Specification for Radio Disturbance<br />

and Immunity Measuring Apparatus and Methods Part 1-1: Radio<br />

Disturbance and Immunity Measuring Apparatus – Measuring Apparatus,"<br />

International Electrotechnical Commission, 2010.<br />

• [2] S. Braun, T. Donauer, and P. Russer, "A Real-Time Time-Domain<br />

EMI Measurement System for Full-Compliance Measurements According<br />

to CISPR 16-1-1," IEEE Transactions on Electromagnetic<br />

Compatibility, Vol. 50 No. 2 May 2008: 259 - 267. Print.<br />

• [3] CISPR 11, Ed. 5.1, "Industrial, Scientific and Medical Equipment<br />

–Radio-Frequency Disturbance Characteristics – Limits and Methods<br />

of Measurement," International Electrotechnical Commission, 2010.<br />

• [4] C. Hoffmann, S. Braun, and P. Russer, "A Broadband Time-Domain<br />

EMI Measurement System for Measurements up to 18 GHz," <strong>EMC</strong><br />

Europe 2010, Wroclaw, Poland, pp. 34 - 37, 2010. Print.<br />

• [5] C.R. Barhydt, "Radio Noise Meter and its Application," General<br />

Electric Rev., Vol. 36 1933: 201-205. Print.<br />

• [6] K. Hagenhaus, "Die Messung von Funkstörungen," Elektrotechnische<br />

Zeitschrift, Vol. 63 1942: 182-187. Print.<br />

• [7] J. G. Proakis, and D. G. Manolakis, "Digital Signal Processing, Third<br />

Edition," Pearson Prentice Hall, 1996. Print.<br />

• [8] G. D. Vendelin, A. M. Pavio, and U. L. Rohde, "Microwave Circuit<br />

<strong>Design</strong> using Linear and Nonlinear Techniques, Second Edition," John<br />

Wiley & Sons, 2005. Print.<br />

• [9] S. Braun, C. Hoffmann, and P. Russer, "A Realtime Time-Domain<br />

EMI Measurement System for Measurements above 1 GHz," IEEE<br />

<strong>EMC</strong> Society Symposium on Electromagnetic Compatibility, Austin,<br />

USA, 2009.<br />

• [10] W. B. Davenport, and D. L. Root, "An Introduction to the Theory<br />

of Random Signals and Noise," John Wiley & Sons, 1987. Print.<br />

• [11] RF Spin, “Broadband Quad-Ridged Horn Antenna QRH20,” Data<br />

Sheet.<br />

• [12] W. Sansen, "Distortion in Elementary Transistor Circuits," IEEE<br />

Transactions on Circuits and Systems II: Analog and Digital Signal<br />

Processing, Vol. 46 No. 3 March 1999: 315 - 325. Print.<br />

Christian Hoffm ann was born in Ulm/Donau , Germany.<br />

He received the Dipl.-Ing. degree in Electrical Engineering from<br />

the Technische Universität München (TUM), Munich, Germany,<br />

in 2008. He is currently working towards the Dr.-Ing. degree at<br />

the Institute for High-Frequency Engineering at TUM, Germany.<br />

120 interference technology emc <strong>Directory</strong> & design guide <strong>2011</strong>

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