Is it sensible to say that qudrature conversion can be applied to any signal, and the product of the conversion is an I/Q pair that represent the inputs signal? Thanks, Ben
Quadrature signal conversion/modulation
Started by ●July 30, 2008
Reply by ●July 30, 20082008-07-30
On Jul 30, 7:27�pm, "B.chay" <Ben....@unitedgroupltd.com> wrote:> Is it sensible to say that qudrature conversion can be applied to any > signal, and the product of the conversion is an I/Q pair that represent the > inputs signal? > > Thanks, > BenPlease define "quadrature conversion". As far as I understand, quadrature modulation is a mapping that takes k bits at a time, and outputs one of 2^k possible complex-valued number. Some others may take quadrature modulation as one of the next steps, which is taking a complex-valued signal, multiplying with exp(j 2 pi fc t), and taking the real value. Which do you mean?
Reply by ●July 30, 20082008-07-30
>On Jul 30, 7:27=A0pm, "B.chay" <Ben....@unitedgroupltd.com> wrote: >> Is it sensible to say that qudrature conversion can be applied to any >> signal, and the product of the conversion is an I/Q pair that representt=>he >> inputs signal? >> >> Thanks, >> Ben > >Please define "quadrature conversion". As far as I understand, >quadrature modulation is a mapping that takes k bits at a time, >and outputs one of 2^k possible complex-valued number. > >Some others may take quadrature modulation as one of the next >steps, which is taking a complex-valued signal, multiplying with >exp(j 2 pi fc t), and taking the real value. > >Which do you mean?I think , he's reffering to the latter part. In any case, to answer the question, qudrature conversion converts a low pass signal to a band pass signal(complex). So your assumption is correct if you are aware of the fact that there is frequency translation invloved. -Chivak>
Reply by ●July 31, 20082008-07-31
On Jul 30, 7:42�pm, "chivak" <cd_pra...@hotmail.com> wrote:> >On Jul 30, 7:27 pm, "B.chay" <Ben....@unitedgroupltd.com> wrote: > >> Is it sensible to say that qudrature conversion can be applied to any > >> signal, and the product of the conversion is an I/Q pair that represent > >> the inputs signal? > > >Please define "quadrature conversion". �As far as I understand, > >quadrature modulation is a mapping that takes k bits at a time, > >and outputs one of 2^k possible complex-valued number. > > >Some others may take quadrature modulation as one of the next > >steps, which is taking a complex-valued signal, multiplying with > >exp(j 2 pi fc t), and taking the real value. > > >Which do you mean? > > I think , he's reffering to the latter part.i thought what was meant is taking a real signal, x(t) or x[n], and creating the complex analytic signal, which is x(t) + j*Hilbert{ x(t) } (continuous time) or x[n] + j*Hilbert{ x[n] } (discrete time). the spectrum of this is one-sided (nothing at negative frequencies), at positive frequencies it's the same spectrum as x(t) (or x[n]) but doubled and multiplying by e^(j*w0*t) (or e^(j*w0*n)) bumps the spectrum up by an amount of w0 in whatever frequency domain. r b-j