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       Published in IET Microwaves, Antennas & Propagation
       Received on 26th January 2010
       Revised on 17th May 2010
       doi: 10.1049/iet-map.2010.0030
                                                                                                                   ISSN 1751-8725
   Efficient passive low-rate pulse generator
   for ultra-wideband radar
   K.K.-M. Chan1 K. Rambabu1 A.E.-C. Tan1 M.Y.-W. Chia2
   1
    University of Alberta, 2nd Floor, Electrical & Computer Engineering Research Facility (ECERF), University of Alberta,
   Edmonton, Alberta, Canada T6G 2V4
   2
    Institute for Infocomm Research, 1 Fusionopolis Way, #21-01 Connexis (South Tower), Singapore 138632
   E-mail: kkchan@ualberta.ca
   Abstract: The design of a passive ultra-wideband (UWB) pulse generator using cascaded sections of shunt-mode
   step-recovery diodes with decreasing lifetimes is presented. This pulse generator circuit generates 241 ps, 5.6 V
   pulses at 10 MHz pulse repetition frequency without the use of an additional amplifier. This pulse generator can
   be used in UWB radar systems that require sub-nanosecond pulses at low pulse repetition rates.
   1         Introduction                                                efficiency is related to the carrier lifetime of the diode used
                                                                         in the circuit. An SRD with shorter transition time will
   Ultra-wideband (UWB) radars are finding many applications in           typically have a shorter lifetime and smaller ‘snap’ voltage.
   the areas of medical imaging, non-destructive testing and in          For an efficient harmonic generation, the time period of
   security systems. One of the key issues of the UWB systems            the driving signal should be less than the carrier lifetime of
   is generation of ultra-short pulse with minimum ringing at            the SRD [2]. The physical construction of the SRD
   suitable pulse repetition frequency (PRF). Typical pulses used        determines the conversion efficiency [5]. The scope of
   in UWB radar systems are Gaussian pulse and Gaussian                  tuning the physical parameters of the SRD is beyond the
   mono-cycle [1]. The most common way to generate such                  control of the system design engineer, so the conversion
   pulses is by introduction of non-linear devices to a frequency        efficiency of the generator has to be improved at the circuit
   source. Harmonics of the source frequency will result from            level.
   the non-linearity of the circuit that has been realised using
   passive or active devices. The choice of implementation is              UWB systems have to meet regulatory mandates, for
   determined by the specifications of the UWB pulses.
                                                                         example the Federal Communications Commission mask
                                                                         [6], so that they do not interfere with existing narrowband
      Techniques for generating UWB pulses by using step-                applications in the same spectrum. This limitation places a
   recovery diode (SRD) have been extensively studied in the             great challenge to UWB radar designers, who have
   literature [2 – 4]. A commonly used scheme for UWB pulse              detection range being a key system specification. For a
   generation is the shunt-mode SRD impulse generator [3].               longer range, higher pulse amplitudes and lower pulse
   The transition time of an SRD determines the minimum                  repetition rates (PRFs) are required. System designers can
   achievable pulse width. A pulse width of 100 ps at 20 V               reduce spectral emission levels by lowering the PRF, and
   peak amplitude is possible with the SRD and the                       inadvertently, lowering the output pulse amplitude too.
   maximum output voltage is limited by the reverse                      Thus, additional broadband amplifiers are needed.
   breakdown voltage of the diode. The high breakdown                    Furthermore, a shorter transition time SRD is desired for
   voltage and narrow pulse width make the SRD an ideal                  better range resolution. So, the desired UWB radar pulse
   candidate for UWB pulse generation.                                   generator has to produce short pulses efficiently at low PRFs.
     The primary concern of the shunt-mode SRD circuit for                 This paper presents a novel method to produce
   pulse generation is its conversion efficiency. The conversion          short pulses at lower PRFs using cascaded sections of
2196                                                                IET Microw. Antennas Propag., 2010, Vol. 4, Iss. 12, pp. 2196 – 2199
& The Institution of Engineering and Technology 2010                                                  doi: 10.1049/iet-map.2010.0030
                                                                                                               www.ietdl.org
    shunt-mode SRDs with decreasing carrier lifetimes. The                C1 and load form a first-order high-pass filter. C1 is
    pulse generator is able to generate 200 ps pulses at up to        determined by the pulse width that sets the high-pass filter
    73% efficiency (output voltage/input voltage) at 10 MHz             cut-off frequency. The time constant of the circuit is the
    PRF. The circuit is fully passive and does not require             combination of C1 and the load. Pulse width of the system
    biasing, and thus is inherently stable.                            is equivalent to time constant of the circuit
       The design and analysis of the pulse generator are                                  Time constant = RC                      (2)
    presented in Section 2. In Section 3, circuit is optimised
    for pulse amplitude and pulse width. In Section 4, a               For a 200 ps pulse width and 50 V load, C1 is 4 pF.
    prototype pulse generator has been built and results are
    shown to verify the design and circuit performance.                3      Optimisation of pulse generator
                                                                       Initial design obtained in Section 2 is optimised to achieve
                                                                       higher output pulse amplitude and narrower pulse width by
    2      Design of pulse generator                                   practically tuning L1, L2 and C1 values using commercially
    The schematic diagram of the proposed pulse generator is           available components and changing SRD1. During the
    shown in Fig. 1. Source is a 50 V waveform generator that          manual optimisation, it is observed that the output pulse
    generates continuous waves (CWs) with amplitudes greater           amplitude is sensitive to the carrier lifetime of SRD1 and
    than the turn-on voltages of SRD1 and SRD2. L1 and                 value of L1 whereas output pulse width is sensitive to the
    SRD1 form the first stage of the shunt-mode harmonic                values of L2 and C1. Pulse ringing can be controlled by
    generator, whereas L2 and SRD2 form the second stage.              careful selection of L1 and L2 values.
    First stage is cascaded with second stage in series
    configuration.                                                      3.1 Optimisation for pulse amplitude
       The design starts with the specification of the system pulse     It is observed that the output pulse amplitude is sensitive to
    width, which determines the selection of SRD2 that has a           the carrier lifetime of SRD1 and value of L1. The choice
    transition time capable to meet the system specification.           for SRD1 will be the one that has a carrier lifetime longer
    Pulse widths of each stage are, at minimum, twice the              than that of SRD2. The longer the lifetime of the SRD,
    transition time of the respective SRD. SRD1 is then                the higher the charge it can store and so the greater the
    chosen, to have a longer carrier lifetime than SRD2.               ‘snap’ voltage because of a larger initial current. Therefore it
    Equation (1) shows the relation between pulse width and            generates pulses with higher output amplitude at lower
    inductor value L in a single-stage shunt-mode harmonic             PRFs where the pulse repetition period is greater than the
    generator [2]. C is the reverse bias capacitance of the SRD.       diode lifetimes. However, a larger difference between the
    Values of L1 and L2 in Fig. 1 are determined by                    lifetimes of SRD1 and SRD2 will reduce the output pulse
                                                                       amplitude for a given system pulse width. SRD1 should
                                      √                            have lifetime of at least twice the lifetime of SRD2.
                       Pulse width = p LC                       (1)
                                                                         Increasing L1 value results in both higher output pulse
                                                                       amplitudes and ringing. Fig. 2 shows the effect of L1 on
    For UWB applications with 5 GHz centre frequency, the
                                                                       the output pulse amplitude (L2 ¼ 12 nH, C1 ¼ 3.9 pF).
    required system pulse width, ts , is 200 ps. For ts ¼ 200 ps,
                                                                       Thus, L1 value can be optimised for pulse amplitude while
    SRD2 (M-Pulse MP4023) is chosen with a transition time
    of 50 ps. The reverse bias capacitance of SRD2 is 0.35 pF
    and the calculated L2 is 12 nH. SRD1 (M-Pulse MP4043)
    is chosen, as discussed in Section 3, for carrier lifetime four
    times that of SRD2. It has a transition time of 120 ps and
    reverse bias capacitance of 1.5 pF. For an expected pulse
    width of 240 ps, L1 ¼ 3.9 nH.
    Figure 1 Schematic diagram of the UWB radar pulse                  Figure 2 Effect of L1 on output pulse (L2 ¼ 12 nH,
    generator                                                          C1 ¼ 3.9 pF, Vin ¼ 10 V CW)
IET Microw. Antennas Propag., 2010, Vol. 4, Iss. 12, pp. 2196 – 2199                                                                  2197
doi: 10.1049/iet-map.2010.0030                                                 & The Institution of Engineering and Technology 2010
www.ietdl.org
   Figure 3 Effect of L2 on output pulse (L1 ¼ 3.9 nH,                   Figure 4 Photograph of UWB radar pulse generator
   C1 ¼ 3.9 pF, Vin ¼ 10 V CW)                                           prototype
   maintaining an acceptable level of ringing. The output                  The following results show that the proposed two-stage
   voltage, V(t), of the single-stage shunt-mode pulse                   pulse generator managed to generate pulses of higher pulse
   generator can be determined from [3]                                  amplitudes (127% increase) as compared to single-stage
                                                                         shunt-mode pulse generator, at the expense of longer pulse
                      ⎛  ⎞                               widths (51.5% increase). Efficiency (output voltage/input
                       L/C      ⎝−   z2
         V (t) = −Io         exp          bt ⎠ sin(bt)        (3)        voltage) has improved to 56% from 25%.
                      1 − z2       1 − z2
                                                                            Fig. 5 shows the output of the proposed pulse generator for
   where Io is the initial current
                           in the inductor√
                                √              during the            a 10 V peak-to-peak CW input at 10 MHz PRF. It is
   ‘snap’, and b = 1 − z / LC and z = L/C /(2R).
                              2
                                                                         compared with the output of the single-stage shunt-
   Equation (3) explains the effect of L1 on pulse amplitude.            mode pulse generator designed using fast transition time
   An increase in L value, as shown in (3), increases the                SRD (MP4023) based on the design method outlined in
   amplitude of V(t), and reduces the damping factor of the              [1], with L ¼ 12 nH and C ¼ 2 pF. The measured outputs
   negative exponential term of V (t).                                   in Fig. 5 are in black and simulated outputs in dark grey.
                                                                         The simulation software used is Ansoft Designer from
                                                                         Ansys with the Nexxim circuit transient simulator and
   3.2 Optimisation for pulse width                                      non-linear microwave diode models. The measured pulse
   It is observed that the output pulse width is sensitive to the        amplitude in Fig. 5, of single-stage circuit (dashed line)
   values of L2 and C1. Reducing the value of L2 shortens                is 2.47 V and full-width-at-half-maximum (FWHM)
   the pulse width. Fig. 3 shows that shortest pulse width is            pulse width is 159 ps. For the same input, the proposed
   obtained for L2 ¼ 1.2 nH at L1 ¼ 3.9 nH and C1 ¼ 3.9 pF.              pulse generator (solid line) produces a pulse of pulse
                                                                         amplitude 5.6 V and FWHM pulse width of 241 ps.
     Referring to Fig. 1, C1 and load form a first-order high-            It should be noted that the current in the inductor before
   pass filter. Reducing C1 shortens the output pulse width at            the ‘snap’ is 115 mA. Simulation results predicted
   the expense of pulse amplitude.                                       comparable pulse widths, amplitudes and ringing levels
                                                                         with the measurements.
   4      Prototype and measurement
   A prototype of the proposed pulse generator has been built
   using Rogers 4003 substrate (1r ¼ 3.38, h ¼ 32 mil).
   M-Pulse Microwave MP4033 is used as SRD1 and
   MP4023 as SRD2. L1 and L2 are 10% tolerance multilayer
   ceramic chip inductors with values of 22 and 1.2 nH,
   respectively. A 3.9 pF porcelain multilayer chip capacitor is
   used as C1. The choice for these components is for an
   optimised pulse with trade-off among the amplitude, pulse
   width and ringing considerations.
     Fig. 4 shows a photograph of the prototype housed in a
   metallic chassis. The dimensions of the prototype board are
   25 mm × 25 mm.                                                        Figure 5 Outputs for 10 MHz CW input
2198                                                                IET Microw. Antennas Propag., 2010, Vol. 4, Iss. 12, pp. 2196 – 2199
& The Institution of Engineering and Technology 2010                                                  doi: 10.1049/iet-map.2010.0030
                                                                                                                 www.ietdl.org
                                                                       predicted quite accurately in the simulations. Efficiency has
                                                                       improved from 51% to 73%.
                                                                       5       Conclusions
                                                                       A novel pulse generator design, using cascaded sections of
                                                                       shunt-mode SRDs with decreasing lifetimes has been
                                                                       presented for UWB radar applications. The proposed pulse
                                                                       generator is ideal for systems requiring high-amplitude,
                                                                       narrow pulses at lower PRFs. The conversion efficiency of
                                                                       the generator has improved to 56% for CW input and 73%
                                                                       for square wave input.
    Figure 6 Measured outputs for square wave input                    6       References
                                                                       [1] TAYLOR J.D.: ‘Introduction to ultra-wideband radar
                                                                       systems’ (CRC Press, 1995)
       Higher-amplitude ringing has been observed for the
    proposed pulse generator as compared to the MP4023-
                                                                       [2] ‘Pulse and Waveform Generation with Step Recovery
    based single-stage pulse generator. The pulses will be
                                                                       Diodes’. Hewlett-Packard Application Note #918, http://
    differentiated when radiated from the transmit antenna [7]
                                                                       www.hp.woodshot.com/hprfhelp/lit/diodelit.htm, accessed
    and pulse ringing is inevitable because of the band-limited
                                                                       July 2010
    frequency response of filters, amplifiers and antennas.
    However, the system’s range resolution can be preserved in
                                                                       [3] HAMILTON S., HALL R.: ‘Shunt mode harmonic generation
    the presence of ringing with the use of pulse shaping filters
                                                                       using step recovery diodes’, Microw. J., 1967, pp. 69– 78
    or differentiators together with a correlation-based receiver
    architecture.
                                                                       [4] HALL R., HAMILTON S., KRAKAUER S.: ‘Impulse shunt mode
                                                                       harmonic generation’. Dig. ISSCC, February 1966
      In the second measurement, the pulse generators are fed
    with 10 MHz PRF square wave input with 5 V peak-to-                [5] MOLL J., KRAKAUER S., SHEN R.: ‘P-N junction charge storage
    peak amplitude and rise/fall time of 4 ns. The measured           diodes’. Proc. IRE, January 1962, pp. 43– 53
    and simulated pulse generator outputs are shown in Fig. 6.
    For the single-stage pulse generator, the measured pulse           [6] FCC 02– 48: ‘FCC first report and order: in the matter
    amplitude is 2.54 V and FWHM pulse width is 159 ps.                of revision of part 15 of the commission’s rules regarding
    For the proposed pulse generator, the pulse amplitude is           ultra-wideband transmission systems’, 2002
    3.67 V and FWHM pulse width is 211 ps. The current in
    the inductor before ‘snap’ is 75 mA. The predicted                 [7] RAMBABU K., TAN A.E.-C., CHAN K.K.-M., CHIA M.Y.-W.: ‘Estimation
    amplitudes for the simulator are slightly more than the            of antenna effect on ultra-wideband pulse shape in
    measured because of sharp rise/fall times of 0 ns for the          transmission and reception’, IEEE Trans. EMC., 2009, 51,
    square wave generator. Pulse widths and ringing levels are         (3), pp. 604– 610
IET Microw. Antennas Propag., 2010, Vol. 4, Iss. 12, pp. 2196 – 2199                                                                      2199
doi: 10.1049/iet-map.2010.0030                                                  & The Institution of Engineering and Technology 2010