Understanding Impulse Bandwidth of EM1 Receivers Specifications Werner Schaefer Hewlett-Packard Company SantaRosa SystemsDivision 1400 Fountaingrove Parkway SantaRosa,CA 95403-1799,USA Abstract - When measuring emissionswith an EM1 receiver or spectrum analyzer, different signal types may be encountered. Their classification as narrowband or broadband is dependent on the signal’s spectral distribution relative to the receiver’s resolution bandwidth used for the measurement.It is essential to know which type of signal is being measured to avoid erroneoustest results and the wrong interpretation of data. In this context, the knowledge of the instrument’s impulse bandwidth is necessary to correctly determine the absolute amplitude value of an emission. The determination of the receiver’s impulse bandwidth can be done with a series of measurements,but not simply by multiplication of its 3dB or 6dB bandwidth with a constant factor. Only the accurate knowledge of this parameter allows a meaningful comparison of the measuredemission levels to a limit line and verification of a product’s compliance with an EM1 standard. Introduction When measuring impulsive signals, it is necessaryto know the impulse bandwidth of the EMI receiver’s or spectrum analyzer’s IF filter. Due to the broadband nature of impulsive signals, someof their spectral componentsare not contained in the IF filter passbandat any one time. As the filter bandwidth becomeswider, more spectral componentsare included and the amplitude of the signal at the filter output increasesuntil the filter is wide enough to enclosethe entire signal spectrum. The filters implemented in EMI receivers or spectrumanalyzers are usually defined by their 3dB or 6dB bandwidths, which is suitable for measuring CW or narrowband signals. However, this specification is insufficient for broadband signal measurements because the filter’s amplitude and phase responsewill affect the results. A comparisonof test data,taken with different EM1 receivers, is very difficult (if not impossible) to make. EUT passes or fails a compliance test, depending on the receiver being used. Amendment 2 to CISPR 16 Part 1 acknowledges this issue and defines the EM1 receiver’s resolution bandwidth for measurementsabove 1GHz as the 1MHz impulse bandwidth. In the following paper, definitions of broadbandsignals and the impulse bandwidth of a filter will be presented,the effect of filtering on a broadband signal discussed,and an easy method to determinethe impulse bandwidth of a receiver described. Defining Broadband Signals and Impulse Bandwidth Broadband impulse signals are signals of short duration and a frequency spectrum exceeding the resolution bandwidth of a calibrated receiver. They will have a repetition tiequency substantially less than the receiver bandwidth. They are measured,in terms of spectral intensity, in units of [V/MHZ] or, in logarithmic terms, in [dBpV/MHZ]. A broadband signal’s spectrum always exceedsthe receiver’s IF bandwidth; therefore, the complete signal spectrum cannot be contained in the filter passbandat any one time. It is important to recognize that the receiver IF bandwidth is the only criteria that classifies a signal as narrowband or broadband.If its setting is changed, narrowband emissions may be detected as broadband signals and vice versa. Impulsive signals causetransient responsesin a receiver. The peak value of these responsesis proportional to the spectral intensity of the impulsive signal and to the bandwidth of the receiver. The exact value of this impulse bandwidth must be known in order to measurebroadband impulse signals. Unlike the 3dB or 6dB bandwidth, this value is not easily derived from CW responsemeasurements.The transient behavior of the IF filter dependson the exact shapeof the frequency response,the design of the bandpass,any logarithmic amplifiers used, their gain-shaping performanceand any video bandwidth used. A study conducted in Japan[l] in 1996 shows that differences in measurement results of up to 6.4dB are possible when Impulse bandwidth BWi is defined as the ratio of the peak measuringbroadbandimpulsive signals,basedon a 3dB or 6dB value of the detectedtransient VP and the spectral intensity of bandwidth specification. This could lead to situations where an the impulse signal S causing the transient: 0-7803-5057-X/99/$10.00 © 1999 IEEE 958 BWi=v’ (1) S Because spectral intensity is specified in RMS volts, V, must be measured in EMS volts; the absolute voltage peak of the transient must be divided by J2. This correction is not necessaryif the receiver display is calibrated in RMS values. Frequency Filtering of a Pulsed RF Signal A pulsed R.F signal with a short pulse duration and a low repetition frequency, such as that used in radar applications, is classified as a broadband signal. So it is necessaryto use the concept of impulse bandwidth to get useful information from the IF filter’s impulse responseshown on the receiver’s display. The signal has a carrier frequency f, with an EMS amplitude Figure 2: Filtering with RBW smaller than PRF V,. The pulse width at the 50 percent amplitude points is r, and the pulse period T (the pulse repetition frequency fJ. Figure 1 depicts this signal, which is applied to the input of an EM1 of the EMI receiver, as depicted in figure 3, many spectral componentswill be in the filter’s passband.If the width of the receiver. main lobe of the pulsed RF spectrum is large comparedto the IF filter bandwidth (2/r >> SW), then the spectral components within the passbandhave approximately constantamplitude. In Time ’ I-T-I r: pulse width (at 50% points) c =; ; pulse repetition frequency (ITS) hItage 1 RMS value of peak Figure 1: Pulsed RF signal applied to an EM1 receiver Depending on the ratio of IF filter bandwidth to the pulse repetition frequency of the test signal, the result shown on the Figure 3: Filtering with an RBW greaterthan the PRF receiver display needs to be interpreted differently. Figure 2 illustrates the casewhere the EM1 receiver bandwidth is much this case the spectral intensity of this signal is given by: smaller than the pulse repetition frequency. Here only one s= v1*z (3) spectral line is in the IF filter’s passbandat any one time. If the receiver is tuned to the carrier frequency so that the IF filter will be centered around the maximum of the spectrum main The maximum output voltage of the RMS value of the peak of the transient responseis: lobe, the RMS amplitude V, can be calculated as: v2 = VI* T* fr VP= S*BWi (2) If the pulse repetition frequency is larger than the IF bandwidth (4) Using equation 3, the maximum output voltage can be 959 expressedas: In the secondstep,the pulse repetition frequency is reduced to a rate much less than the resolution bandwidth of the receiver VP= VI* T* BWi (5) f, (minimum a factor of ten). The pulse shape must remain constant.The amplitude of this signal, V,, is measuredagain at This expression is valid as long as the resolution bandwidth is the sametuned frequency. Several spectral componentswill be much greater than the pulse repetition rate, and the main lobe in the filter’s passband,and the amplitude V,, = V,*z*BWi. The width is much greater than the filter bandwidth as well (factor equations for VP and V, are combined and the impulse bandwidth can be calculated as shown in figure 4: 10 for practical purposes). BWi = &I* VP It is obvious from this example that knowledge of the impulse bandwidth is necessaryto correctly interpret the measurement result of the broadband case. v2 V, is the maximum detectedamplitude of the transientresponse of the receiver to an impulsive signal. V, is the actual peak amplitude of the carrier signal. These are related by the expression: VP=a*Vl The factor o is called desensitization expressedin logarithmic terms: (6) factor and often CL= 20* log(T* BWi) Determining (7) bzc BWm fn= BW, fax> BWm an EMI Receiver’s Impulse Bandwidth To measurethe impulse bandwidth of an EM1 receiver, use a pulse generator with an accurately known and settable pulse repetition frequency. The pulse shapemust remain constant as the repetition frequency is changed.When applying the pulse to the input of the receiver to make the impulse bandwidth measurement,the receiver must be usedin linear display mode, becausethe logarithmic mode would distort the filter impulse response. The receiver input attenuator must be set to an appropriate value to avoid frontend overload. An overload condition can be determined by varying the attenuator setting and observing the corresponding signal level change. Furthermore, the averaging or video bandwidth must be set at least three times as wide as the resolution bandwidth to avoid any averaging effect on the pulse signal. There are two stepsin measuringthe impulse bandwidth. First, the pulse generator is set to a pulse repetition frequency fR,that is much higher than the resolution bandwidth of the receiver (minimum a factor of three). The amplitude of the signal, V,, is measuredwith the receiver center frequency tuned to the pulse repetition frequency or one of its harmonics. Only one spectral component will be in the filter passbandand the amplitude can be calculated as V, = 2*V,*z*f,,. In this caseit is assumedthat a basebandpulse is used for the measurement;therefore the constant factor of 2 is introduced by the Fourier analysis. Figure 4: Calculation of the impulse bandwidth In steptwo, the pulse width must be selectednarrowly enough to ensurea flat amplitude spectrumwithin the passbandof the receiver’s IF filter. The pulse width must also be wide enough that the signal will be sufficiently above the noise floor to allow an accuratemeasurement.The advantagesof this method of determining the impulse bandwidth are: the spectral intensity of the pulse doesnot needto be known, and any pulse shape (modulated or unmodulated) can be used. The only requirements on the pulse signal are that the amplitude spectrumis flat in the area of the filter under investigation and the pulse repetition frequency can be changedindependently of the pulse shape. Measurement Example A measurementwas madeto determine the impulse bandwidth of spectrum analyzer IF filters using the method suggested above. A pulse generator meeting the previously discussed requirementsis the only additional test equipmentneeded. The following pulse parameterswere chosen: 960 pulse width z: 50 ns pulse amplitude VP: 5 V rise time 6: 2 ns fall time tf: 2 ns PRF (narrowband) fR,: 3 *RBW PRF (broadband) fR2:0.1 *RBW ~18:39:50 l2 JAN 1393 NRRKER 2!.Fi6 NH2 18.351 mu Lltl In the fast part of the measurement,a PRF is usedthat is much higher than the selectedresolution bandwidth of the spectrum analyzer. In figure 5, the test result for the 1OOkHzbandwidth (3dB value) is shown, using a PRF of 300kHz. The receiver is put into linear display mode and sufficient input attenuation is used to avoid front-end overload and ensure linear operating conditions of the instrument. Furthermore,the video bandwidth was set to its maximum value so that it has no effect on the measuredamplitude. The voltage level, 19.61mV, measuredat a specific tuning frequency, was recorded. Last Hrd Key Nenu RCTU DLT: PERK MCRS DET: PEAK !P RUG SPRH NKR 29.456 NH7 18.35j mU c NARKCR IIORNAL RLF 11 21 mU CENTER 29.946 MHz RL wIF BW 188 kHz WJG B11 3 HHz SPAN 'I.088 Ntl? rsw 28.8 "SXC Ifore 1 of 2 Figure 6: “Broadband” measurement I ~15:ki?:83 12 JRN 1399 RCTU DET: PERK HERS DET: PERK QP RUG NKR 29.9'6 NHz 19.610 mU L LIH RCF 19 91 mv selecting a pulse amplitude where both measurementscan be made without changing instrument settings, especially the reference level. Due to the ratioing of the two measurement values, most of the instrument’s amplitude uncertainty factors cancel out, leaving the display fidelity as the predominant contributor. lLas1 Hrd Rey Nenu SPRH WdiKER lOANAL Summary NRRKCR RHPlD Since EMI receivers are usedto measureboth narrowband and broadband signals, it is essential to know the impulse bandwidth to correctly interpret the broadband measurement data. As discussedin the example of measuring a pulsed RF signal, the broadband signal amplitude is directly proportional SPflN 'I.088 flth NUCZ CCCTCR 2!.W!6 MHz to the filter’s impulse bandwidth, and not its 3dB or 6dB rsw 2.08 sec. I or ? nlf BW 1HE kHz dRU0 BW 3 #Hz RL bandwidth. A very simple and reliable method for determining Figure 5: “Narrowband” measurement impulse bandwidth, which involves minimal additional test equipment, was introduced. Using this method, the impulse In the second part of the measurement,the PRF was set to 10 bandwidth of any IF filter implemented in an EM1 receiver or kHz, to ensure that multiple spectral componentsof the pulse spectrumanalyzer can be measuredquickly and accurately. are within the IF filter passbandat all times. The pulse width was selectedso that the spectrum within the filter passbandis References flat; thus no errors caused by amplitude variations are introduced. Figure 6 depicts this measurement.The recorded amplitude was 10.35mV. CISPR/A/WGl (ShinozukaNamanaka) 96-l: Responses of spectrumanalyzersto pulsive and Gaussiannoise inputs This data allows the determination of the impulse bandwidth using equation (8): EELCCl 1234 The accuracy of this procedure can be improved further by 961