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#21
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On Fri, 12 Mar 2004 17:25:59 +0000 (UTC), Mike Andrews wrote:
In (rec.radio.amateur.homebrew), Ben Bradley wrote: In rec.radio.amateur.homebrew,sci.electronics.design, Bob Stephens wrote: On Fri, 12 Mar 2004 16:08:15 +0000, John Woodgate wrote: where sinc(x)= {sin(x)}/x I've never seen this terminology before. Is this standard math parlance or is it something of your own? You can google for it (Usenet or Web) and find it, I've seen it used a good bit in signal processing and such. And it shows up in some math classes as well, though its main use is in electronics. I suspect it showed up because the instructor wanted to show a real-life example, which just happened to be -- electronics. I've always seen it as 1/x sin(x) "one over ex sine ex". the hyperbolic sine function sinh is usually pronounced "Cinch" So how do you pronounce sinc? "Sink ?" |
#22
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I read in sci.electronics.design that Bob Stephens stephensyomamadigita
wrote (in ) about 'Extracting the 5th Harmonic', on Fri, 12 Mar 2004: So how do you pronounce sinc? "Sink ?" If you wish. -- Regards, John Woodgate, OOO - Own Opinions Only. The good news is that nothing is compulsory. The bad news is that everything is prohibited. http://www.jmwa.demon.co.uk Also see http://www.isce.org.uk |
#23
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I read in sci.electronics.design that Bob Stephens stephensyomamadigita
wrote (in ) about 'Extracting the 5th Harmonic', on Fri, 12 Mar 2004: So how do you pronounce sinc? "Sink ?" If you wish. -- Regards, John Woodgate, OOO - Own Opinions Only. The good news is that nothing is compulsory. The bad news is that everything is prohibited. http://www.jmwa.demon.co.uk Also see http://www.isce.org.uk |
#24
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![]() "Bob Stephens" wrote in message .. . On Fri, 12 Mar 2004 17:25:59 +0000 (UTC), Mike Andrews wrote: In (rec.radio.amateur.homebrew), Ben Bradley wrote: In rec.radio.amateur.homebrew,sci.electronics.design, Bob Stephens wrote: On Fri, 12 Mar 2004 16:08:15 +0000, John Woodgate wrote: where sinc(x)= {sin(x)}/x I've never seen this terminology before. Is this standard math parlance or is it something of your own? You can google for it (Usenet or Web) and find it, I've seen it used a good bit in signal processing and such. And it shows up in some math classes as well, though its main use is in electronics. I suspect it showed up because the instructor wanted to show a real-life example, which just happened to be -- electronics. I've always seen it as 1/x sin(x) "one over ex sine ex". the hyperbolic sine function sinh is usually pronounced "Cinch" So how do you pronounce sinc? "Sink ?" Yes, it's pronounced "sink", and it's quite common in signal processing. You define it as being the _limit_ of sin(x)/x as x - 0 because otherwise it's undefined at zero, and all the mathematicians in the crowd will curse at you for being yet another engineer who's treating math so casually. |
#25
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![]() "Bob Stephens" wrote in message .. . On Fri, 12 Mar 2004 17:25:59 +0000 (UTC), Mike Andrews wrote: In (rec.radio.amateur.homebrew), Ben Bradley wrote: In rec.radio.amateur.homebrew,sci.electronics.design, Bob Stephens wrote: On Fri, 12 Mar 2004 16:08:15 +0000, John Woodgate wrote: where sinc(x)= {sin(x)}/x I've never seen this terminology before. Is this standard math parlance or is it something of your own? You can google for it (Usenet or Web) and find it, I've seen it used a good bit in signal processing and such. And it shows up in some math classes as well, though its main use is in electronics. I suspect it showed up because the instructor wanted to show a real-life example, which just happened to be -- electronics. I've always seen it as 1/x sin(x) "one over ex sine ex". the hyperbolic sine function sinh is usually pronounced "Cinch" So how do you pronounce sinc? "Sink ?" Yes, it's pronounced "sink", and it's quite common in signal processing. You define it as being the _limit_ of sin(x)/x as x - 0 because otherwise it's undefined at zero, and all the mathematicians in the crowd will curse at you for being yet another engineer who's treating math so casually. |
#26
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In (rec.radio.amateur.homebrew), Tim Wescott wrote:
Yes, it's pronounced "sink", and it's quite common in signal processing. You define it as being the _limit_ of sin(x)/x as x - 0 because otherwise it's undefined at zero, and all the mathematicians in the crowd will curse at you for being yet another engineer who's treating math so casually. That's not precisely true. Some fraction of us mathematicians wander away, shaking our heads and muttering "Engineers!" under our breaths. -- The official state religion of France is Bureaucracy. They've replaced the Trinity with the Triplicate. -- David Richerby, in a place not to be named. |
#27
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In (rec.radio.amateur.homebrew), Tim Wescott wrote:
Yes, it's pronounced "sink", and it's quite common in signal processing. You define it as being the _limit_ of sin(x)/x as x - 0 because otherwise it's undefined at zero, and all the mathematicians in the crowd will curse at you for being yet another engineer who's treating math so casually. That's not precisely true. Some fraction of us mathematicians wander away, shaking our heads and muttering "Engineers!" under our breaths. -- The official state religion of France is Bureaucracy. They've replaced the Trinity with the Triplicate. -- David Richerby, in a place not to be named. |
#28
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In article , Paul Burridge
writes: Is there some black magic required to get higher order harmonics out of an oscillator? [did you miss a class at Hogwarts? :-) ] I'm only trying to get 17.2Mhz out of a 3.44Mhz source and am thus far failing spectacularly. I've tried everything I can think of so far to no avail. All I can get apart from the fundamental is a strong third harmonic on 10.32Mhz, regardless of what I tune for. I've tried passing the osc output through two successive inverter gates to sharpen it up, but still nothing beyond the third appears after tuned amplification for the fifth. I no longer have a spectrum analyser so can't check for the presence of a decent comb of harmonics at the input to the multiplier stage but can only assume the fifth is well down in the mush for some reason. As others have suggested, the duty cycle may be off such that the 5th harmonic is not as strong as it should be (it would be only about 10% of the fundamental frequency with the 'best' duty cycle). Part of the problem can be in trying to L-C tune logic gate outputs, presuming a great deal that such is what you are doing. If you must use logic gate inverters, use an open collector kind and put a 5th harmonic parallel-tuned circuit there and couple it to a relatively high impedance buffer amplifier input. Or, use a transistor stage and tune the collector (or drain if FET) to the 5th harmonic. With TTL gates the output characteristics are non-linear in that a conducting-to-logic-0 state is a rather low impedance source while output conducting to a logic-1 state is a medium impedance source. The resulting loading is not good for trying to filter out a 5th or higher harmonic. An open-collector output allows the average output Z to be higher with less upset of a tuned circuit. The above also applies to a series-tuned L-C circuit for the 5th but that may be an advantage with the curious impedance of TTL gate inputs. Using CMOS logic gates over all might prove to be an advantage since their input impedances are quite high and most output characteristics don't differ as much between logic 0 and 1. I could change the inverters for schmitt triggers and gain a couple of nS but can't see that making enough difference. What about sticking a varactor in there somewhere? Would its non-linearity assist or are they only any good for even order harmonics? Varactors don't create harmonics all by themselves. Those need to be "tuned" either through resonant circuits or harmonics selected via L-C filters. What you want to do can be done with stock parts but in different arrangements. Len Anderson retired (from regular hours) electronic engineer person. |
#29
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In article , Paul Burridge
writes: Is there some black magic required to get higher order harmonics out of an oscillator? [did you miss a class at Hogwarts? :-) ] I'm only trying to get 17.2Mhz out of a 3.44Mhz source and am thus far failing spectacularly. I've tried everything I can think of so far to no avail. All I can get apart from the fundamental is a strong third harmonic on 10.32Mhz, regardless of what I tune for. I've tried passing the osc output through two successive inverter gates to sharpen it up, but still nothing beyond the third appears after tuned amplification for the fifth. I no longer have a spectrum analyser so can't check for the presence of a decent comb of harmonics at the input to the multiplier stage but can only assume the fifth is well down in the mush for some reason. As others have suggested, the duty cycle may be off such that the 5th harmonic is not as strong as it should be (it would be only about 10% of the fundamental frequency with the 'best' duty cycle). Part of the problem can be in trying to L-C tune logic gate outputs, presuming a great deal that such is what you are doing. If you must use logic gate inverters, use an open collector kind and put a 5th harmonic parallel-tuned circuit there and couple it to a relatively high impedance buffer amplifier input. Or, use a transistor stage and tune the collector (or drain if FET) to the 5th harmonic. With TTL gates the output characteristics are non-linear in that a conducting-to-logic-0 state is a rather low impedance source while output conducting to a logic-1 state is a medium impedance source. The resulting loading is not good for trying to filter out a 5th or higher harmonic. An open-collector output allows the average output Z to be higher with less upset of a tuned circuit. The above also applies to a series-tuned L-C circuit for the 5th but that may be an advantage with the curious impedance of TTL gate inputs. Using CMOS logic gates over all might prove to be an advantage since their input impedances are quite high and most output characteristics don't differ as much between logic 0 and 1. I could change the inverters for schmitt triggers and gain a couple of nS but can't see that making enough difference. What about sticking a varactor in there somewhere? Would its non-linearity assist or are they only any good for even order harmonics? Varactors don't create harmonics all by themselves. Those need to be "tuned" either through resonant circuits or harmonics selected via L-C filters. What you want to do can be done with stock parts but in different arrangements. Len Anderson retired (from regular hours) electronic engineer person. |
#30
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Mike Andrews wrote:
In (rec.radio.amateur.homebrew), Tim Wescott wrote: Yes, it's pronounced "sink", and it's quite common in signal processing. You define it as being the _limit_ of sin(x)/x as x - 0 because otherwise it's undefined at zero, and all the mathematicians in the crowd will curse at you for being yet another engineer who's treating math so casually. That's not precisely true. Some fraction of us mathematicians wander away, shaking our heads and muttering "Engineers!" under our breaths. Reminds me of the old joke about the mathemetician, the physicist and the engineer. They were each shown into a room in the centre of which was £50 note / $100 bill (depending on which side of the pond you live). They were told they could walk half the distance to the money and stop. Then they could walk half the remaining ditance and so on until they got the money. The mathemetician worked out you would never reach the money so he didn't even try. The physicist, working to five decimal places was still there a week later. The engineer did three iterations, said 'That's close enough' and picked up the money. The moral is of course, horses for courses. Ian |
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