the following description is of the best presently contemplated mode of carrying out the present invention . this description is not to be taken in a limiting sense but is made merely for the purpose of describing the general principles of the invention . the scope of the invention should be determined by referencing the appended claims . fig1 shows a block diagram of a prior art digital - to - analog converter which uses a sample and hold circuit . referring now to fig1 a converter circuit 102 contains an analog sample and hold circuit 104 and a digitizer 106 . an input signal is received on line 108 , sampled and held by the sample and hold circuit 104 , and the sample is fed to the digitizer 106 through line 110 . after the sample is digitized by the digitizer 106 , the digital value is output on bus 112 . some prior art circuits use a track and hold circuit in place of the sample and hold circuit 104 . in prior art circuits the signal must be held , typically by a very small capacitor , in order to provide the time necessary to perform the analog to digital conversion . even flash analog - to - digital converters , the fastest known in the art , are not fast enough to convert a signal having a frequency of 1 ghz without using a hold circuit . fig2 shows the waveforms from a prior art track and hold circuit . referring now to fig2 a sinusoidal input signal 202 being input to a track and hold circuit . the waveform 204 shows the track and hold gate input to the circuit , and illustrates the hold times versus the track times . waveform 206 shows the theoretical , infinite bandwidth , output of the track and hold circuit , and shows that when the circuit switches from track to hold , for example at location 210 , the output of the theoretical track and hold circuit instantly acquires the input voltage . for this idealized output to occur , the bandwidth of the track and hold circuit would have to be infinite . waveform 208 shows the band - limited output of a practical track and hold circuit . when the practical track and hold circuit switches from hold to track , for example at location 210 , the band - limited output attempts to go to the input voltage . however , because of the bandwidth limitations , a certain amount of settling time occurs prior to the output reaching the input voltage . when the circuit switches to hold mode , for example at location 212 , the output of the track and hold circuit starts to settle out to its final value at location 214 . the settling time of such a practical track and hold circuit , as indicated by arrow 216 , is a function of the bandwidth of the circuit , and is approximately equal to one divided by twice the sampling rate . fig3 shows waveforms from a prior art sample and hold circuit . referring now to fig3 a sinusoidal input waveform 302 is sampled by sampling strobe 304 at location 310 . waveform 306 shows an ideal infinite bandwidth output of such a sample and hold circuit , and waveform 308 shows a practical , bandwidth limited , output of a practical sample and hold circuit . arrow 312 indicates the settling time , which is equal to a full sample period , thus , the bandwidth of the circuit is approximately equal to one divided by the sample rate . therefore , the bandwidth requirements for a sample and hold circuit are one - half the bandwidth requirements for a track and hold circuit . fig4 shows a block diagram of the analog - to - digital converter system of the present invention . referring now to fig4 the analog - to - digital converter system 402 contains an amplifier 406 which has an input line 422 . the output of the amplifier 406 is connected to a sampler 408 , illustrated here by a switch . the output of the switch 408 is connected to a capacitor 410 which has a parallel resistor 412 . the output of the capacitor - resistor network 410 , 412 is connected to a second amplifier 414 . the output of the amplifier 414 is connected to a gaussian low - pass filter 416 . the output of the low - pass filter 416 is amplified by amplifier 418 and connected to a digitizer 420 which converts the signal to a digital value which is available on the bus 424 . as will be shown below , the amplifier 406 , sampling switch 408 , capacitor 410 , and resistor 412 may be combined into a single circuit . the waveforms of fig5 through 7 are illustrative of the circuit of fig4 and will be used to explain its operation . referring now to fig4 through 7 , when an input signal is applied to input 422 , and sampling switch 408 samples the input signal , the waveform of fig5 illustrates the current output at location 409 of the sample switch 408 . the current waveform of fig5 charges capacitor 410 , although not necessarily to the full value of the input signal . when sample switch 408 is opened , the charge on capacitor 410 discharges through resistor 412 . the voltage waveform of the capacitor - resistor network 410 , 412 is amplified by amplifier 414 and results in the waveform shown in fig6 . this waveform is a voltage waveform taken at location 415 of fig4 . the discharge rate of the capacitor 410 , as illustrated by the waveform of fig6 is shorter than the sampling period . therefore , capacitor 410 is not used to hold the sampled input signal , and in fact , capacitor 410 does not charge to the full value of the input signal available at 422 . because the charge on the capacitor 410 is not being held , amplifier 414 can be a bipolar transistor amplifier having a low input impedance . after the signal of fig6 is passed through the gaussian low - pass filter 416 , the waveform appears as shown in fig7 . digitizer 420 then digitizes the value of the signal illustrated by fig7 when the signal is at its peak 702 . at peak 702 the slew rate is minimum , thus allowing for maximum a / d converter accuracy . the main constraint of filter 416 is that it must produce an output that can settle from its peak value back to the baseline in one sample period , so as not to interfere with the next sample . the bandwidth requirement of the circuit of fig4 is approximately one - fourth the required bandwidth of a track and hold system and one - half the bandwidth of a sample and hold system that would perform the same function . thus , the reduced bandwidth allows more noise to be filtered out , and produces less intersymbol interference . fig8 shows a waveform diagram similar to fig2 and 3 , however , the waveforms in fig8 are illustrative for the circuit of the present invention . referring now to fig8 an input sinusoidal waveform 802 is sampled by a sample pulse 804 which would result in the theoretical output 806 , if the following circuits had infinite bandwidth . the circuit of the present invention , however , is bandwidth limited by the gaussian filter , and results in the output 808 . because of the bandwidth limitation , the output signal 808 peaks at location 810 just prior to the following sample pulse 812 . thus , the circuit and method of the present invention allow the output to peak in one sample time and settle in a subsequent sample time for a total settling time of 2 sample periods . this is contrasted to a sample and hold circuit which has a settling time of one period and a track and hold circuit which has a settling time of one - half of a period . therefore , the bandwidth requirements of the circuit of the present invention are one - half the bandwidth requirements of a sample and hold circuit and one - fourth the bandwidth requirements of a track and hold circuit . fig9 shows waveforms from the circuit of fig4 with multiple sample periods being illustrated . referring now to fig9 an input signal is sampled by a strobe 902 and reaches a peak 904 at which time the a / d clock samples the signal at 906 . the gaussian filter output then begins to settle and does not go all the way to zero prior to the next sample strobe 908 , as illustrated by the dashed line 910 . it is not necessary for the if output signal to settle back to the baseline 912 . the only requirement is that the if signal reach another peak at the time of the next a / d clock rise time . fig1 shows an example of a preferred implementation of a sampling circuit suitable for use with the present invention . fig1 is by way of example only , since other sampling circuits could be used with the present invention . the circuit of fig1 represents the components illustrated by dashed line 404 in fig4 . referring now to fig1 , a differential stage is used to convert the signal from a single ended voltage into a differential current . emitter followers 1004a , 1004b , and differential amplifier pair 1006a , and 1006b raise the input impedance and maximize the bandwidth . varactor diodes 1008a and 1008b adjust the peaking of the circuit in interaction with the input bond wires to the integrated circuit on which it is formed . sixty - nine ohm ( 69ω ) resistors 1010a and 1010b at the output of the differential stage thermally balance the circuit , such that signal induced power changes in the transistors do not modulate the base emitter voltages and cause poor settling in the step response . emitter coupled current switches 1012a , 1012b , 1014a , and 1014b sample the signal current into the 400ff sampling capacitors 1016a and 1016b . the pass transistors 1012a and 1012b are normally turned off while the bypass transistors 1014a and 1014b are normally turned on . when a sample is taken , the pass transistors 1012a and 1012b are turned on for approximately 150 pico - seconds while the bypass transistors 1014a and 1014b are turned off . the current at the output of the differential amplifier is allowed to flow briefly to the collectors of the pass transistors 1012a and 1012b , and into the sampling capacitors 1016a and 1016b . note that the current being sampled contains the common mode bias current of the differential amplifier . the two 500 ohm resistors 1018a and 1018b reduce the amount of common mode current arriving at the output . the 250 ohm resistors 1020a and 1020b in parallel with the sampling capacitors 1016a and 1016b will discharge the capacitors quickly enough so that no charge is left on the capacitors when the next sample is taken . the exponential voltage waveform on the sampling capacitors 1016a and 1016b is buffered and delivered to the outputs 1024a and 1024b through emitter followers 1022a and 1022b . although the circuit of fig4 illustrates single - ended amplifiers , it is well known in the art that a differential amplifier can be used in place of a single - ended amplifier . fig1 shows an example of a preferred implementation of an amplifier suitable for use with the present invention . fig1 is by way of example only , since many amplifiers could be used with the invention . referring now to fig6 the input signals 1102a and 1102b are connected to a differential amplifier . gain is adjusted in the circuit using an emitter coupled vernier circuit . common mode feedforward and feedback are used to further improve symmetry and settling time of the output . the gain of the amplifier shown in fig1 is variable from approximately 1 . 5 to approximately 3 . 0 , and the bandwidth is approximately 1 . 5 gigahertz . fig1 shows an example of a filter circuit suitable for use with the present invention . referring now to fig1 , inductors 1202 , 1204 and 1206 are formed using 76 micron lines and spaces on a thick - film integrated circuit . these are made by first screen printing a field of metal and then etching the pattern . the filter is a sixth order gaussian magnitude ladder network driven from a low impedance and terminated into 65 ohms . the value for inductors 1202 , 1204 , and 1206 are approximately 35 . 8 , 16 . 3 , and 7 . 1 nanohenrys respectively , the values for capacitors 1208 , 1210 , and 1212 are approximately 5 . 3 , 2 . 8 , and 0 . 6 picofarads respectively , and the value of the resistor 1214 is approximately 66 ohms . a more complete description of gaussian filters may be found in zverev , a ., handbook of filter synthesis , john wiley & amp ; sons , new york , 1967 . having thus described a presently preferred embodiment of the present invention , it will now be appreciated that the objects of the invention have been fully achieved , and it will be understood by those skilled in the art that many changes in construction and circuitry and widely differing embodiments and applications of the invention will suggest themselves without departing from the spirit and scope of the present invention . the disclosures and the description herein are intended to be illustrative and are not in any sense limiting of the invention , more preferably defined in scope by the following claims .