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most effecient hilbert transform method

Started by Unknown June 4, 2004
What would be the most effecient method of hilbert transofrming audio?
my filter program genertates too many taps for the low frequency
performacnce i require. I don't want to use FFT due to memory
constraints in the DSP.
Thanks in advance
scott@scottincz.com wrote:

> What would be the most effecient method of hilbert transofrming audio? > my filter program genertates too many taps for the low frequency > performacnce i require. I don't want to use FFT due to memory > constraints in the DSP. > Thanks in advance
Do you really need to generate a signal with every frequency component 90 degrees shifted from a delayed replica of the original, ot id it sufficient to produce a pair of signals, one of which is in quadrature with the other, neither bearing a simple phase relationship to the input? The second version is easier to achieve. It uses a pair of bandpass filters generated from a low-pass prototype by multiplying its coefficients in one case with a sine, and the other with the cosine od the bandpass's center frequency. It is convenient to make that frequency Fs/4. Jerry -- Engineering is the art of making what you want from things you can get. �����������������������������������������������������������������������
On Fri, 04 Jun 2004 17:56:39 -0400, Jerry Avins <jya@ieee.org> wrote:

>scott@scottincz.com wrote: > >> What would be the most effecient method of hilbert transofrming audio? >> my filter program genertates too many taps for the low frequency >> performacnce i require. I don't want to use FFT due to memory >> constraints in the DSP. >> Thanks in advance > >Do you really need to generate a signal with every frequency component >90 degrees shifted from a delayed replica of the original, ot id it >sufficient to produce a pair of signals, one of which is in quadrature >with the other, neither bearing a simple phase relationship to the >input? The second version is easier to achieve. It uses a pair of >bandpass filters generated from a low-pass prototype by multiplying its >coefficients in one case with a sine, and the other with the cosine od >the bandpass's center frequency. It is convenient to make that frequency >Fs/4. > >Jerry
ideally 20hz-20khz so the whole audio range.
scott@scottincz.com wrote:

> On Fri, 04 Jun 2004 17:56:39 -0400, Jerry Avins <jya@ieee.org> wrote: > > >>scott@scottincz.com wrote: >> >> >>>What would be the most effecient method of hilbert transofrming audio? >>>my filter program genertates too many taps for the low frequency >>>performacnce i require. I don't want to use FFT due to memory >>>constraints in the DSP. >>>Thanks in advance >> >>Do you really need to generate a signal with every frequency component >>90 degrees shifted from a delayed replica of the original, ot id it >>sufficient to produce a pair of signals, one of which is in quadrature >>with the other, neither bearing a simple phase relationship to the >>input? The second version is easier to achieve. It uses a pair of >>bandpass filters generated from a low-pass prototype by multiplying its >>coefficients in one case with a sine, and the other with the cosine od >>the bandpass's center frequency. It is convenient to make that frequency >>Fs/4. >> >>Jerry > > > > ideally 20hz-20khz so the whole audio range.
That's not what I asked. your original sampled signal is good from DC to Fs/2. You can pass that signal through two bandpass filters (they share a data buffer) centered about Fs/4 with passbands from 20 Hz to Fs-20 Hz with less computation than needed by a single Hilbert transformer. Unlike the HT approach, this one doesn't preserve the original phase. Jerry -- Engineering is the art of making what you want from things you can get. &#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;
Jerry Avins wrote:

> scott@scottincz.com wrote: > >> What would be the most effecient method of hilbert transofrming audio? >> my filter program genertates too many taps for the low frequency >> performacnce i require. I don't want to use FFT due to memory >> constraints in the DSP. >> Thanks in advance > > > Do you really need to generate a signal with every frequency component > 90 degrees shifted from a delayed replica of the original, ot id it > sufficient to produce a pair of signals, one of which is in quadrature > with the other, neither bearing a simple phase relationship to the > input? The second version is easier to achieve. It uses a pair of > bandpass filters generated from a low-pass prototype by multiplying its > coefficients in one case with a sine, and the other with the cosine od > the bandpass's center frequency. It is convenient to make that frequency > Fs/4. > > Jerry
Or if you _really_ don't mind mucking up the phase you could use IIR all-pass filters. It'd take some dinking with the math and you'd have to be careful about realizing them to avoid numeric problems, but you could do it with a relative minimum of processing power. -- Tim Wescott Wescott Design Services http://www.wescottdesign.com
I suggest the use of the following.
http://www.nauticom.net/www/jdtaft/special_fir.htm

David
David Joseph Bonnici wrote:

> I suggest the use of the following. > http://www.nauticom.net/www/jdtaft/special_fir.htm > > David
OP wants not a HT, but something to do his job faster. We're trying to find out how much of what else he can give up to get it. Thanks for the link. It's a nice one. Jerry -- Engineering is the art of making what you want from things you can get. &#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;
On Sat, 05 Jun 2004 11:07:33 -0400, Jerry Avins <jya@ieee.org> wrote:

>David Joseph Bonnici wrote: > >> I suggest the use of the following. >> http://www.nauticom.net/www/jdtaft/special_fir.htm >> >> David > >OP wants not a HT, but something to do his job faster. We're trying to >find out how much of what else he can give up to get it.
What i require is good amplitude performance at low frequencies, say 30-50 Hz but i also need the audio to extend up to 20khz. At the moment the taps come out in the thousands for the performance i am after. The hardware won't allow FFT. The application is the removal of the lower sideband in an AM modulator.
> >Thanks for the link. It's a nice one. > >Jerry
scott@scottincz.com wrote:

> On Sat, 05 Jun 2004 11:07:33 -0400, Jerry Avins <jya@ieee.org> wrote: > > >>David Joseph Bonnici wrote: >> >> >>>I suggest the use of the following. >>>http://www.nauticom.net/www/jdtaft/special_fir.htm >>> >>>David >> >>OP wants not a HT, but something to do his job faster. We're trying to >>find out how much of what else he can give up to get it. > > > What i require is good amplitude performance at low frequencies, say > 30-50 Hz but i also need the audio to extend up to 20khz. At the > moment the taps come out in the thousands for the performance i am > after. The hardware won't allow FFT. > The application is the removal of the lower sideband in an AM > modulator. > > > >>Thanks for the link. It's a nice one. >> >>Jerry
If you want real numbers, you'll have to divulge the sample rate and the passband of the anti-alias filter. Jerry -- Engineering is the art of making what you want from things you can get. &#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;&#4294967295;
>If you want real numbers, you'll have to divulge the sample rate and the >passband of the anti-alias filter.
How about 48Khz 20Hz-20Khz
> >Jerry