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From: | Marcus Müller |
Subject: | Re: [Discuss-gnuradio] Question about sampling rate and center freq |
Date: | Sat, 30 Apr 2016 08:53:20 +0200 |
User-agent: | Mozilla/5.0 (X11; Linux x86_64; rv:38.0) Gecko/20100101 Thunderbird/38.6.0 |
Hi Abhinav, On 28.04.2016 20:20, abhinav narain
wrote:
Interesting! Why is there a time axis? I must admit those graphs look like they took some effort to create; really, a clean drawing on paper would have been as good for me, but thanks. No, I didn't mean that. I mean: Is the signal you *want* to observe a single voltage signal varying over time, or is it an I & Q signal pair? I'm not convinced you actually are in both cases! That's why I'm asking :) OK, we need to talk about sampling: Sampling takes place where your analog signal becomes a series of digital numbers, in the ADC of the N210. That is before you digitally tune to e.g. 125 kHz. The LF and Basic daughterboards don't have tuners! That really really depends! It depends on whether you want to observe a single real signal or an I&Q signal pair. So: what do you want to observe? You should really really understand these books. Knowing why there is no "additional information" in the negative frequencies is very essential to understanding complex baseband. In fact, it's so essential, it's the core of the first lecture about communication systems that every EE student here has to take. The spectrum being symmetrical to the f=0 axis is not an artifact – it's an effect of how "spectrum" is defined, and again, it's a pretty important concept. So here's the problem I'm having with your original question: You said But: What *are* the first 250 kHz? If you're just sampling a real signal with a single ADC, then obviously, you get a real-valued stream of samples, and to cover the bandwidth of 0 Hz – 250 kHz you will need to sample at 500 kHz. If we're talking about complex baseband, I'd define (and that's purely something that I like, not something that is uniformly defined somewhere) the "first 250 kHz" to be the spectrum from -125 kHz – +125 kHz, because those 250 kHz correspond to the 250 kHz bandpass signal "closest" to the center frequency of your down-mixer. To get those 250 kHz, your ADC will need to run at 250 kHz, but it will need to produce one I and one Q sample simultaneously. You can configure the N210 carrying a Basic or LF board into either mode – real sampling of up to two channels, and complex sampling of an I&Q pair that you feed into the two SMA connectors on the daughterboard. We really need to understand what you *want* to be doing! That's a good approach! So, I really don't know what literature you've got access to – if you have access to the scriptum for a communication theory introduction, that might be a good start. Best regards, Marcus |
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