WEBVTT 00:00:00.000 --> 00:00:01.450 align:middle line:90% 00:00:01.450 --> 00:00:03.909 align:middle line:84% Hello, my name is Russell Hoppenstein, 00:00:03.909 --> 00:00:05.950 align:middle line:84% and I'm the High Speed Data Converter Application 00:00:05.950 --> 00:00:08.430 align:middle line:90% Manager at Texas Instruments. 00:00:08.430 --> 00:00:10.450 align:middle line:84% In this RF Sampling Series, we're 00:00:10.450 --> 00:00:14.680 align:middle line:84% going to look that why RF sampling. 00:00:14.680 --> 00:00:16.700 align:middle line:84% And I'm going to give you a hint to the answer, 00:00:16.700 --> 00:00:18.270 align:middle line:90% it's going to be bandwidth. 00:00:18.270 --> 00:00:20.270 align:middle line:84% But we're going to look at a few different cases 00:00:20.270 --> 00:00:21.645 align:middle line:90% to see how it manifests itself. 00:00:21.645 --> 00:00:25.375 align:middle line:90% 00:00:25.375 --> 00:00:27.900 align:middle line:84% Now, first, we'll look at the bandwidth considerations 00:00:27.900 --> 00:00:30.110 align:middle line:90% related to pulses. 00:00:30.110 --> 00:00:32.659 align:middle line:84% Now, if we had an ideal impulse function 00:00:32.659 --> 00:00:34.375 align:middle line:84% and we did a Fourier transform on that, 00:00:34.375 --> 00:00:38.140 align:middle line:84% that would convert it into infinite frequency. 00:00:38.140 --> 00:00:40.150 align:middle line:90% But that's not very realistic. 00:00:40.150 --> 00:00:42.870 align:middle line:84% If we look at something a little bit more realistic, 00:00:42.870 --> 00:00:47.180 align:middle line:84% a finite pulse in time, like a boxcar function, 00:00:47.180 --> 00:00:50.160 align:middle line:84% and we translate that into the frequency domain, 00:00:50.160 --> 00:00:52.510 align:middle line:84% it translates into a sinc function. 00:00:52.510 --> 00:00:55.840 align:middle line:84% And what we see here is the pulse width 00:00:55.840 --> 00:01:02.780 align:middle line:84% T will translate to the main lobe width that is inversely 00:01:02.780 --> 00:01:06.660 align:middle line:90% proportional to T. So 1 over T. 00:01:06.660 --> 00:01:10.110 align:middle line:84% Now, if we take the case as those pulses gets smaller, 00:01:10.110 --> 00:01:13.930 align:middle line:84% the bandwidth and the frequency domain is now getting larger. 00:01:13.930 --> 00:01:15.770 align:middle line:84% And you can see the [? extend ?] here 00:01:15.770 --> 00:01:18.710 align:middle line:84% as we get smaller and smaller, that bandwidth is 00:01:18.710 --> 00:01:20.200 align:middle line:90% going to get higher and higher. 00:01:20.200 --> 00:01:22.400 align:middle line:84% And the need for an RF sampling converter 00:01:22.400 --> 00:01:25.115 align:middle line:84% sampling at a very high speed is going to be required. 00:01:25.115 --> 00:01:28.340 align:middle line:90% 00:01:28.340 --> 00:01:30.400 align:middle line:84% Now, looking at bandwidth considerations related 00:01:30.400 --> 00:01:33.510 align:middle line:84% to frequency, sampling theorem dictates 00:01:33.510 --> 00:01:36.830 align:middle line:84% that a minimum sampling rate must be at least 2x the desired 00:01:36.830 --> 00:01:37.820 align:middle line:90% bandwidth. 00:01:37.820 --> 00:01:40.840 align:middle line:84% Now, in practice more is generally required. 00:01:40.840 --> 00:01:42.820 align:middle line:84% But looking at one case, where we're 00:01:42.820 --> 00:01:45.470 align:middle line:84% talking about one large signal bandwidth, 00:01:45.470 --> 00:01:47.490 align:middle line:84% and so we need a sampling converter 00:01:47.490 --> 00:01:51.060 align:middle line:84% that's capable of capturing that entire bandwidth. 00:01:51.060 --> 00:01:54.640 align:middle line:84% But we can also look at another case in which it's not 00:01:54.640 --> 00:01:57.850 align:middle line:90% one contiguous frequency space. 00:01:57.850 --> 00:02:00.770 align:middle line:84% But it's broken up into two or more bands. 00:02:00.770 --> 00:02:02.590 align:middle line:84% And if we take both of those together, 00:02:02.590 --> 00:02:04.970 align:middle line:84% and we look at the entire system bandwidth, 00:02:04.970 --> 00:02:08.240 align:middle line:84% we can now capture both of those simultaneously. 00:02:08.240 --> 00:02:10.970 align:middle line:84% So before we might have to have a separate receiver for each 00:02:10.970 --> 00:02:12.150 align:middle line:90% of those bands. 00:02:12.150 --> 00:02:14.610 align:middle line:84% Now we can capture both of them at the same time. 00:02:14.610 --> 00:02:17.460 align:middle line:90% 00:02:17.460 --> 00:02:19.730 align:middle line:84% And this leads me into kind of the flexibility 00:02:19.730 --> 00:02:24.130 align:middle line:84% and the tunable nature of the RF sampling architecture. 00:02:24.130 --> 00:02:27.510 align:middle line:84% Previously, we would have a mixer within a synthesizer. 00:02:27.510 --> 00:02:30.180 align:middle line:84% We would convert that down to the baseband or IF 00:02:30.180 --> 00:02:33.120 align:middle line:90% and then capture with ADC. 00:02:33.120 --> 00:02:36.000 align:middle line:84% But now with the RF sampling ADC, 00:02:36.000 --> 00:02:40.060 align:middle line:84% we don't need to know the exact location of our signal 00:02:40.060 --> 00:02:41.900 align:middle line:90% in the RF space. 00:02:41.900 --> 00:02:44.500 align:middle line:84% We have a bit of tunability, if you will, 00:02:44.500 --> 00:02:48.010 align:middle line:84% because we can capture it no matter where that signal is. 00:02:48.010 --> 00:02:51.080 align:middle line:84% And we don't even really need to know where it lies. 00:02:51.080 --> 00:02:53.240 align:middle line:84% We can capture the entire bandwidth 00:02:53.240 --> 00:02:54.970 align:middle line:84% and in digital signal processing, 00:02:54.970 --> 00:02:57.640 align:middle line:84% we can find out where the relevant information is 00:02:57.640 --> 00:02:58.910 align:middle line:90% and process from there. 00:02:58.910 --> 00:03:03.500 align:middle line:90% 00:03:03.500 --> 00:03:04.960 align:middle line:90% Well, thank you for listening. 00:03:04.960 --> 00:03:07.280 align:middle line:84% If you have any further technical questions 00:03:07.280 --> 00:03:11.200 align:middle line:84% on this topic, feel free to contact our application experts 00:03:11.200 --> 00:03:12.900 align:middle line:90% at e2e.ti.com. 00:03:12.900 --> 00:03:14.860 align:middle line:90%