Hello Colm,

Yes, you're correct. That's how some of our narrowband designs work - you
use each PFB channel as a very narrow bandpass filter, and treat its output
as a complex time-series. So you can pass it through another PFB to get a
higher-resolution spectrum, at the expense of very much lower time
resolution of course.

Regards,
James


On Fri, Aug 28, 2020 at 11:04 AM Colm Bracken <[email protected]> wrote:

> Hi Cedric,
>
> Great, thanks for confirming that.
> One more question, if you don't mind?
>
> If a narrow band signal is off-centre relative to one of my frequency
> bins, will the measured amplitude change each time I run the FFT?
> For example, if my FFT frequency bins are exactly 1 MHz wide (1024 pt FFT
> applied to 1 GSPS ADC data), and I am trying to measure a sinusoid with a
> frequency of 5.1 MHz, will the measured amplitude oscillate at a frequency
> of 0.1 MHz (5.1 MHz - 5 MHz)? Basically, my sampling (in terms of how often
> I sample the full time stream for the FFT) is out of phase with the signal
> to be measured?
>
> I probably didn't explain that very well, apologies.
>
> Best wishes,
> Colm
>
> On Fri, 28 Aug 2020 at 11:17, 'Cedric Viou' via [email protected]
> <[email protected]> wrote:
>
>> Hi Colm,
>>
>> You are right.
>>
>> PFB is a great way to reduce frequency smearing but the down-side is time
>> smearing.
>>
>> A brief event will be convolved with at least one of your PFB 8-tap
>> filters that end up feeding several FFT computations in a row.
>> So, you get time smearing for that short event...
>>
>> Regards,
>>
>> Cedric
>>
>>
>> Le 28/08/2020 à 11:56, Colm Bracken a écrit :
>> > Hi All,
>> >
>> > I have a question, which is probably DSP 101 basics, but I just wasn't
>> 100% sure.
>> >
>> > If I am applying a 1024 point FFT to a continuous time-stream from an
>> ADC with sampling ~ 1 GSPS, I will have a time resolution ~ 1 microsecond
>> (and frequency res. of ~ 1 MHz).
>> >
>> > But, if I instead apply an 8 tap PFB, am I essentially smearing out my
>> time resolution by a factor of 8, since I am now summing 8 rows of my 1024
>> point time streams?
>> > I can't see how the number of PFB taps wouldn't affect my time
>> resolution. Or am I missing something?
>> >
>> > Thanks in advance,
>> > Colm
>> >
>> > --
>> >
>> > *Dr Colm Bracken*
>> > Lecturer
>> > Maynooth University Experimental Physics
>> >
>> >
>> > Maynooth University, Maynooth, Co. Kildare, Ireland.
>> >
>> > T: +353 1 708 3641
>> > E: [email protected] <mailto:[email protected]> W:
>> www.maynoothuniversity.ie <http://www.maynoothuniversity.ie>
>> >
>> > Follow my work on https://nuim.academia.edu/ColmBracken
>> >
>> >
>> >
>> > And
>> >
>> >
>> > Research Associate
>> >
>> > Astronomy & Astrophysics Section
>> > School of Cosmic Physics
>> > Dublin Institute for Advanced Studies
>> > 31 Fitzwilliam Place
>> > Dublin 2, D02 XF86
>> >
>> >
>> >
>> > T: +353 1 440 6656 ext 352
>> > E: [email protected] <mailto:[email protected]> W:
>> www.dias.ie/2017/06/22/dr-colm-bracken <
>> https://www.dias.ie/2017/06/22/dr-colm-bracken>
>> >
>> > Follow my work on https://nuim.academia.edu/ColmBracken
>> >
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>> >.
>>
>> --
>> Cedric Viou <[email protected]>
>>
>> Ingénieur de recherche
>>
>> Station de Radioastronomie de Nançay,
>> Observatoire de Paris, PSL Research University, CNRS, Univ. Orléans,
>> OSUC,
>> 18330 Nançay, France
>> http://www.obs-nancay.fr/
>>
>> phone : +33 (0) 248 51 8609
>> fax   : +33 (0) 248 51 8318
>>
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>>
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>>
>
>
> --
>
> *Dr Colm Bracken*
> Lecturer
> Maynooth University Experimental Physics
>
>
> Maynooth University, Maynooth, Co. Kildare, Ireland.
>
> T: +353 1 708 3641
> E: [email protected] W: www.maynoothuniversity.ie
>
> Follow my work on https://nuim.academia.edu/ColmBracken
>
>
>
> And
>
>
> Research Associate
>
> Astronomy & Astrophysics Section
> School of Cosmic Physics
> Dublin Institute for Advanced Studies
> 31 Fitzwilliam Place
> Dublin 2, D02 XF86
>
>
>
> T: +353 1 440 6656 ext 352
> E: [email protected] W: www.dias.ie/2017/06/22/dr-colm-bracken
>
> Follow my work on https://nuim.academia.edu/ColmBracken
>
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