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254      VIDEO MICROSCOPY


                                                100
                                               Percent modulation      Diffraction limited MTF







                                                                  2  4  8
                                                             1
                                                                     f           f   f
                                                                     c 1         c 2  c 8
                                                               Spatial frequency

                                Figure 13-14
                                Effect of magnification in preserving system MTF. With adequate magnification through the
                                insertion of a relay lens between the microscope and camera, the MTF can be improved up
                                to the limit set by the optics. MTF curves for a system including various 1–8  relay lenses
                                are shown. Because added magnification reduces the diameter of the field of view, a
                                compromise between magnification and MTF performance is sometimes required.










                                320-line cut-off for the VCR corresponds to 672 cycles/mm in the specimen plane, or
                                only 20% of the optical resolution of 3480 cycles/mm.


                                DAISY CHAINING A NUMBER OF SIGNAL-HANDLING DEVICES

                                Linking multiple video components together in a series is called daisy chaining. For
                                example, a video camera can be connected to a digital signal processor, which is in turn
                                connected to a VCR. Although daisy-chained equipment is convenient, it is important to
                                know that the MTF decreases at each signal-handling device. As discussed, the response
                                factor of camera electronics is described in terms of the rise time required for the signal
                                to rise to peak value (the response frequency). When several electronic components are
                                linked together, such as a video camera plus VCR, the overall system rise time is length-
                                ened, and system MTF and spatial resolution are reduced. Thus, two cascaded circuits
                                with the same bandwidth and rise time are found to reduce the horizontal resolution of
                                the system by 30% compared to each circuit individually. The relationship is described
                                in terms of system bandwidth, BW, and is given as
                                                                                      2
                                               1/BW of system     1/(BW each component) .

                                    For a video camera (10 MHz, 800 black and white lines) coupled to a VCR (5 MHz,
                                400 lines) the system bandwidth is reduced to 4.47 MHz   360 TV lines. Another way
                                of stating this is to say that the system MTF for a given frequency f is the product of the
                                values of percent modulation for each of the components in the system:
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