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74    CEPSTRUM                                                                           channel, radar



           The CEPSTRUM is a function used in nonlinear signal pro-  The overall RCS of dipoles randomly oriented after dispersal
           cessing. The term is a “half-inverse” of the word spectrum.  is about
                                                                                            2
           The  most common forms are  the cepstrum power  and  the                 s =  0.18l N
                                                                       =
           complex cepstrum, related to the Fourier transform F of the  where l  wavelength and N is the total numbers of dipoles.
           signal by the relations                              SAL
                                                                Ref.: Nathanson (1969), p. 223.
                                           2
                         K t() =  Fln F s t ()[{  ] } 2
                           p
                                                                Delayed opening chaff  is chaff that blooms  at  a  specific
                               =
                          K t() Fln F s t (){[{  }]}
                                                                elapsed time after it is dispensed.
                                                                Ref.: Johnston (1979), p. 58.
           respectively. The argument of the cepstrum has the units of
           time.                                                jammer-illuminated chaff (see JAFF).
               A feature of a cepstrum analyzer is its ability to perform
                                                                Rope chaff is a type of chaff consisting of one or more rope
           the deconvolution of signals (i.e., the operation which is the
                                                                elements, which are long rolls of  metallic foil or wire
           inverse of the convolution of two functions and makes it pos-
                                                                designed for broadband, low-frequency response. SAL
           sible to extract the convolved signals).
                                                                Ref.: Johnston (1979), pp. 58, 66; Neri (1991), p. 396.
               Cepstral processing is performed using the  fast Fourier
           transform (FFT) in digital computers,  charge-coupled  CHANNEL
           devices, or Fourier processors based on surface acoustic wave
                                                                A difference channel is “a part of monopulse receiver dedi-
           techniques.
                                                                cated to the amplification, filtering, and other processing of a
               The cepstrum  power is used  to detect and classify sig-
                                                                difference signal, which is generated by comparison of sig-
           nals, to determine pulse duration, and to measure the pulse
                                                                nals received by two (or two sets of) antenna beams, and indi-
           repetition frequency. The complex  cepstrum,  on the other
                                                                cating the departure of the target from the boresight axis. Also
           hand, makes it possible to  reconstruct signals distorted  by
                                                                a signal path through a monopulse receiver for processing a
           multipath propagation and to process radar images. IAM
                                                                difference signal that is commonly generated by comparison
           Ref.: Childers, D. G., Skinner, D. P., and Merait, R. C., “The Cepstrum: A
                                                                of two or more signals received by two antenna beams.” (See
              Guide to Processing,” Proc. IEEE 65, no. 10, 1977, pp. 1428–1443.
                                                                MONOPULSE.) SAL
           CHAFF is “strips of lightweight metal or metallic material  Ref.: IEEE (1993), p. 343.
           that are dispersed in large numbers (bundles) into surveillance
                                                                A guard channel is “one or more auxiliary processing chan-
           or observation volume of a radar to reflect impinging signals
                                                                nels to control the main processing channel in order to reject
           and simulate a true target.” It typically consists of strips of
                                                                interference that is partly in, but not centered on, the main
           aluminum foil or metal-coated fibers.  Each bundle  of  chaff
                                                                channel. Guard channels may be displaced in time (range),
           may contain thousands of individual reflectors whose lengths
                                                                Doppler frequency, carrier frequency, or angle. Sometimes
           are related to the wavelength of the radar. Chaff for use at HF
                                                                called 'guard gates,' 'guard  bands,'  or 'sidelobe blanking.'
           and VHF bands is called rope (or rope chaff).
                                                                Used against range gate stealers, velocity gate stealers, chaff,
               As a passive electronic countermeasures technique, chaff
                                                                sidelobe jamming, and to enhance apparent angle resolution
           may be used in three distinct ways:
                                                                in IFF. May use auxiliary displays.” SAL
               (1) A localized chaff puff or burst can simulate a true tar-
                                                                Ref.: IEEE (1993), p. 576.
                  get, serving as a decoy for radars not having doppler
                  clutter rejection capability, and contributing to over-  An  image channel is the  path of image-frequency signals
                  load in the data leaving the radar.           (those displaced by the intermediate frequency on the oppo-
               (2) A chaff corridor can be laid behind the lead aircraft in  site side of the local oscillator signal from the intended
                  a raid, or fired in rockets forward from the lead air-  response) into the mixer of the superheterodyne receiver. IAM
                  craft, masking aircraft within the corridor.  Ref.: Van Voorhis (1948), p. 17; Popov (1980).
               (3) A chaff cloud may be dispensed over a large region,  The in-phase channel is the channel with its signal in phase
                  masking the actual attack corridor of  a subsequent  with the coherent (reference) oscillator, in a quadrature-chan-
                  raid. SAL, DKB                                nel processor. IAM
           Ref.: IEEE (1993), p. 173; Schleher (1986), p. 133; Barton (1988), p. 194;   Ref.: Skolnik (1980), p. 119.
              Nathanson (1990), p. 295.
                                                                The quadrature channel is the channel with 90° phase rela-
           Chaff dipoles are chaff elements, typically lightweight metal
                                                                tively to the coherent (reference) oscillator in a quadrature-
           (e.g., aluminum) or aluminum-plated glass or Mylar dipoles,
                                                                channel processor. SAL
           which are dispensed in the atmosphere to reflect radar energy
                                                                Ref.: Skolnik (1980), p. 119
           imitating the real target with large RCS. The chaff dipoles are
           intended  to resonate at  the frequencies of victim radars,  A radar channel is a channel in which the generation, trans-
           requiring that the length of the dipole be about one-half radar  mission, reception,  and processing of radar information is
           wavelength. Often the dipoles in a package are cut to different  performed. The radar channel includes the target, the propa-
           lengths to cover an entire radar band or several radar bands.  gation path,  and  the radar itself. The radar data  is formed
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