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filter, temporal [time]                                                              filter, Wiener  196



           assigned coverage volume is monitored sequentially by beam
           scanning. As a result,  the observed image is a function of  x(t)  Delay  Delay  Delay    Delay
                                                                        1      2      3               m
           time. IAM
           Ref.: Baklitskiy (1986), p. 12.
                                                                    w 1    w 2    w 3    w 4      w m   w m+1
           A tracking (loop) filter is a closed nonlinear filter designed
           for evaluation of a parameter nonlinearly coded in a signal. A
                                                                                                              y(t)
           tracking loop  filter nonlinear with respect to input signal              +
               t
           S(L()) is similar to a linear filter with respect to its parameter
                                                                   Figure F35 General form of a transversal filter for signal pro-
           L(t). Basic tracking loop filter assemblies are a discriminator
                                                                   cessing (after Schleher, 1991).
           generating an error signal relative to the measured parameter
           in the linear sector of its response, estimator, synthesizer, and  Urkowitz filter (see inverse filter).
           seek-and-capture circuit (Fig. F34). The synthesizer provides
                                                                A waveguide filter is a microwave filter based on waveguide
           the requisite discriminator response by shaping the correlator
                                                                transmission lines. Waveguide filters are used as  bandpass,
           reference signal (or filter impulse response).
                                                                low-pass, or  high-pass  filters. For  narrowband systems
               A tracking loop filter operates in two modes: acquisition
                                                                (10%), the waveguide filter realizes the equivalent circuit in
           and track (main mode). In the acquisition mode, the tracking
                                                                the form of a ladder circuit: a circuit of parallel resonant loops
           loop is open  and the  acquisition circuit  changes reference
                                                                (or individual reactive components) connected by serial loops
           value L of the detector and discriminator. When L becomes
                                                    0
                 0
           close to actual, the trap relay trips and the seek circuit ceases  (or reactive elements). At low power, ladder circuits are real-
                                                                ized by mounting resonant irises at quarter-wave distance in
           operation. At that moment, the input signal reaches the dis-
                                                                the  waveguide. In powerful devices, a waveguide cavity in
           criminator operating sector and the tracking loop switches to
                                                                the form of a volume bounded by pairs of inductance pins is
           its main mode. Variable-purpose tracking loop filters are used
                                                                used in place of irises.
           in radars: range, speed, and azimuth tracking loop estimators,
                                                                    Stepped  filters, which constitute a circuit  of like
           as well as those measuring several signal parameters. IAM
                                                                waveguide lines  of  identical electrical  length but different
           Ref.: Korostelev (1987), p. 265.
                                                                wave resistance, possess  wideband properties. The ampli-
                                                                tude-frequency characteristic of a stepped filter constitutes a
                                                                number  of alternating pass and elimination  bands. Stepped
                                                                and smooth microwave adapters are examples of waveguide
                                                                filters. IAM
                                                                Ref.: Fel'dsteyn, (1963), pp. 259, 289; Saad (1971), p. 153.
                                                                A waveguide-dielectric filter is a microwave dielectric filter
                                                                that constitutes serial or parallel connections of waveguide-
                                                                dielectric  cavities.  The  connection between the cavities is
             Figure F34 Tracking loop filter diagram (after Korostelev,
                                                                made through both propagating fields and attenuating fields
             1987, Fig. 8.4, p. 267).
                                                                (limit mode). In the latter case, filters of significantly smaller
           track-while-scan filter (see a-b filter).            size are realized. A round waveguide with periodically
                                                                arranged dielectric disks is a typical design for a filter of the
           filter transfer functions (see filter characteristics).  first type.
           A  transversal filter is a nonrecursive filter  using a tapped  Waveguide-dielectric filters are used as low-pass, band-
           delay line to implement the basic filter equation. (See linear  pass,  and stopband filters. To  produce bandpass filters, the
           filter.) It can be realized either as an analog filter (using SAW  connection between the waveguide-dielectric  cavities is
           lines, CCDs, etc.) or as a digital filter using digital delays. A  reduced by increasing the distance between them.
           generic form  of transversal filter  is  shown in Fig.  F35, in  Depending on the types of waves used, and the shape of
           which the inputs,  x(t), consisting of  m + 1 pulses, are  the dielectric elements, the unloaded Q-factor is of the order
           weighted to form the output, y(t).                   of 6,000, and losses in the pass band are 0.1 to 1 dB. IAM
               Digital transversal filters are widely used in radar digital  Ref.: Chung-Li Ren, and Han-Chiu Wand, IEEE Trans MTT-2, no. 12, Dec.
           signal processing for clutter suppression  in  moving  target  1974, pp. 1,202–1,209.
           indicators (see  CANCELER),  pulse compression, and in  filter weighting (see WEIGHTING).
           other applications.  This type of filter  is also  known  as  the
                                                                Wiener filter is a linear optimum filter (with respect to the
           tapped delay-line filter, feedforward filter, finite memory fil-
                                                                criterion of minimum rms error) used to extrapolate the signal
           ter, finite impulse response filter, or simply the nonrecursive
                                                                received in a noise background. It can be implemented either
           filter, although other forms of nonrecursive filter are possi-
                                                                in analog and digital  variants and is  characterized by the
           ble). DKB, SAL
                                                                impulse response h(t), the correlation function B , of the sig-
                                                                                                       x
           Ref.: Skolnik (1980), p. 110.
                                                                nal  , and cross-correlation function B  of the signal   and
                                                                                                             x
                                                                   x
                                                                                                sx
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