the present invention alignment methods and apparatus for i / q ( inphase and quadrature ) phase and amplitude error correction and image rejection improvement may be used in various ways . by way of example , the invention may be used in portable communication devices for alignment of the transmission and receive channels each time the portable communication device is turned on . alternatively , the invention may be used for alignment of transmit and receive channels each time the respective channel is switched on . in that regard , the alignment process itself in accordance with the present invention may typically be completed very rapidly , thereby not occupying significant transmit and receive time . the present invention may also be used for one - time phase and amplitude error correction and image rejection improvement at the time of integrated circuit manufacture , making permanent corrections through techniques such as , by way of example , laser trimming . now referring to fig3 a block diagram of a direct conversion transmit and receive integrated circuit incorporating the present invention in a direct conversion transmit and receive integrated circuit may be seen . as in fig1 the radio frequency signal rf_in is downconverted by mixing with inphase and quadrature components of a frequency derived from a phase locked loop synthesizer referenced to ref to provide the baseband signal components ir and qr for data recovery . however the baseband signal components ir and qr may be scaled by the variable attenuators a 1 and a 2 , respectively . also the inphase and quadrature components of the frequency derived from the phase locked loop synthesizer referenced to ref may be adjusted in phase around their nominal relative phase by controllable phase shifters p 2 and p 1 , respectively . further , the frequency itself derived from the phase locked loop synthesizer referenced to ref , for the exemplary embodiment , is derived using a fractional n phase - locked loop . with respect to the outgoing radio frequency signal , as in fig1 the baseband signal components it and qt are upconverted by mixing with inphase and quadrature components of a frequency derived from a phase locked loop synthesizer referenced to ref and combined to provide the rf output rf_out . however the baseband signal components it and qt may be adjusted in amplitude by the variable attenuators a 3 and a 4 , respectively , before the mixing , and the inphase and quadrature components of the frequency derived from the phase locked loop synthesizer referenced to ref may be adjusted in phase around their nominal relative phase by controllable phase shifters p 3 and p 4 , respectively . the alignment method of the present invention may be best explained by first considering the nature of the input and output signals of the mixers mr 1 and mr 2 and the mixers mt 1 and mt 2 , and the effect misalignment has on those signals . in particular , consider the signals provided to the mixers mt 1 and mt 2 to be orthogonal . more specifically , consider a sinusoidal baseband signal at 5 megahertz . also , assume for the moment that the variable attenuators a 3 and a 4 are of equal gain , mixers mt 1 and mt 2 are ideal mixers and the phase adjust circuits p 3 and p 4 provide perfect inphase and quadrature components of the broadcast frequency . under these conditions , the inputs to the mixers mt 1 and mt 2 may be expressed as : a = the amplitude of each of the two components ( the two amplitudes being equal in the ideal situation ) f 1 = the baseband frequency ( 5 megahertz in the exemplary embodiment ) these components are mixed by the inphase and quadrature components of the broadcast frequency ( 5 . x gigahertz in the exemplary embodiment ), namely cos ( 2πf 2 t ) and − sin ( 2πf 2 t ), where f 2 is the broadcast carrier frequency ( 5 gigahertz in this example ). this provides as the output of the upconverter , the sum of these two components : a   cos  ( 2  π   f 1  t )  cos  ( 2  π   f 2  t ) = a 2  cos  ( ( 2  π   f 1 - 2  π   f 2 )  t ) + a 2  cos  ( ( 2  π   f 1 + 2  π   f 2 )  t )  - a   sin  ( 2  π   f 1  t )  sin  ( 2  π   f 2  t ) = - a 2  cos  ( ( 2  π   f 1 - 2  π   f 2 )  t ) + a 2  cos  ( ( 2  π   f 1 + 2  π   f 2 )  t ) it will be noted from the foregoing equations that when the two equations are combined in the upconverter ( mt 1 and mt 2 ), the two components in the lower sideband ( f 1 − f 2 ) will cancel , whereas the two components in the upper sideband ( f 1 + f 2 ) will add , providing a single sideband signal , namely the upper sideband . alternatively , of course , the phase of any one ( or three ) of the four signals could be reversed , namely , the inphase component or the quadrature component of the baseband signal or the inphase component or the quadrature component of the broadcast frequency provided to the upconverter , in which case the upper sideband components would cancel and the lower sideband components would add , to provide the lower single sideband only . the exemplary embodiment using the upper sideband for broadcast purposes , and with the baseband signal but no data signal in that baseband signal for alignment purposes , may be illustrated in the amplitude versus frequency plot of fig5 wherein it may be seen that all of the broadcast power is at the frequency f 1 + f 2 . again for specificity , in the exemplary embodiment , a broadcast frequency of 5 gigahertz and a baseband frequency of 5 megahertz are assumed , in which case all of the broadcast power would be concentrated at a frequency of 5 . 005 gigahertz . ( with a signal present , the signal information would be in sidebands of that upper sideband frequency .) referring to the foregoing equations , it will be noted that if the amplitudes of the upconverted inphase and quadrature components are not equal , the components in the lower sideband will not fully cancel , leaving what is referred to as a replica image of the desired signal . further , consider the effect of some undesired phase shift induced in either the inphase or quadrature modulated signals . by way of example , suppose because of some imperfection , the quadrature mixer signal 2πf 2 t had a phase shift , so as to be 2πf 2 t + θ , where θ is the phase shift . in this case , the following equation would apply . - a   sin  ( 2  π   f 1  t )  sin  ( 2  π   f 2  t + θ ) = - a 2  cos  ( ( 2  π   f 1 - 2  π   f 2 )  t - θ ) + a 2  cos  ( ( 2  π   f 1 + 2  π   f 2 )  t + θ ) now the inphase and quadrature components in the upper sideband , when added in the upconverter , will have some phase shift because of the presence of the phase shift θ . however , the inphase and quadrature components in the lower sideband , not being fully out of phase with each other , will not fully cancel , again leaving a replica image of the desired sideband . these effects are illustrated in fig6 again using a 5 gigahertz broadcast frequency and a 5 megahertz baseband frequency for the example . note also from the last equation that the phase shift θ associated with the broadcast frequency f 2 could be compensated for by imposing an equal and opposite phase shift in that component of the broadcast frequency provided to the upconverter , or alternatively , by imposing an equal phase shift in the quadrature component of the baseband frequency f 1 , as either would cancel the phase shift in the associated component of the lower sideband . accordingly , regardless of the cause of the phase shift , the effect of a phase shift may be canceled by appropriate phase adjustment of the inphase and quadrature broadcast frequency signals provided to the quadrature upconverter by the phase adjust circuits p 3 and p 4 . similarly , differences in the amplitude of the inphase and quadrature components of the lower sideband may be eliminated by the independent adjustment of the variable attenuators a 3 and a 4 . referring again to fig3 a reference oscillator provides a reference frequency ref to circuits identified in the figure as fractional n phase - locked loops . the first fractional n phase - locked loop contains the main vco . in the exemplary embodiment , the rf carrier is a 5 . x gigahertz carrier having channels spaced 20 megahertz apart , such as at 5 . 0 gigahertz , 5 . 020 gigahertz , 5 . 040 gigahertz , etc . in this case , the reference frequency may be , by way of example , 5 or 10 megahertz , so that a fractional n phase - locked loop is not required because of the rf carrier frequencies being integer multiples of the reference frequency . however the corresponding pilot tone frequencies in the exemplary embodiment would be 4 . 9949 gigahertz , 5 . 0149 gigahertz , 5 . 0349 gigahertz , etc ., clearly not integer multiples of a reference frequency such as 5 or 10 megahertz . consequently , while the phase - locked loop generating the rf carrier may or may not be a fractional phase - locked loop , depending generally on the specific rf frequencies used , normally the pilot tone phase - locked loop will be a fractional phase - locked loop . however , other combinations of phase - locked loops may be used dependent on the frequencies desired , such as , by way of example , a fractional phase - locked loop for the rf carrier generation and not for the pilot tone generation . the second or pilot tone fractional phase - locked loop of fig3 contains a pilot tone vco , the output of which may be coupled through switch sw 1 to a pilot tone mixer mp or as an rf_in signal through coupler c 1 . in the exemplary embodiment being described herein , the pilot tone phase - locked loop just described provides an output at a frequency of 5 . 1 megahertz below the broadcast carrier frequency . thus , by way of example , if the broadcast carrier frequency is set at 5 gigahertz , then the pilot tone phase - locked loop would provide a frequency of 4 . 9949 gigahertz for the alignment process . consider first the alignment of the transmitting section , wherein inphase and quadrature components of a 5 megahertz signal are provided as the signals it and qt and mixer by the rf carrier by mixers mt 1 and mt 2 . assuming the rf carrier is at 5 gigahertz , the spectrum of rf_out is shown in fig6 . during this time , a small portion of the output signal rf_out is coupled from the main signal path through coupler c 2 to the transmit i / q mismatch monitoring mixer mp . the pilot tone mixer mp mixers the combined output of mixers mt 1 and mt 2 with the pilot tone pll signal to produce the spectrum shown on fig7 . because the 5 megahertz baseband signal is not modulated by a data signal during the alignment procedure , the upper sideband , which in this example is the desired sideband , will be 5 . 1 megahertz above the baseband signal , or at 10 . 1 megahertz . the lower sideband , which represents the undesired replica image , will be 10 megahertz below the upper sideband , or at 100 khertz . these downconverted signals are low pass filtered by a 100 khertz low pass filter lpf to eliminate the upper sideband and the carrier leakage , leaving only the unwanted replica image . the replica image passing through the 100 khertz low pass filter lpf is fed to a log detector in the preferred embodiment to provide a dc output t × m as a measure of the sideband rejection . the actual alignment process is an iterative process for the phase and amplitude adjustments for the phase adjust circuits p 3 and p 4 and variable attenuators a 3 and a 4 , respectively . in this process , one of the parameters ( a 3 , a 4 , p 3 or p 4 ) is changed and the change in the output of the log detector is noted . if the change reduces the replica image ( reduces the output of the log detector ), additional changes are made in that parameter until the replica image is not being further reduced . if the initial change in a parameter increases the replica image , the parameter is incremented in the opposite direction and the reduction noted , etc ., until further reductions in the replica image are not noted . then the next parameter is similarly incremented , etc ., cycling through all four parameters ( two phase shifts and two amplitude adjustments ) a few times to get the best alignment reasonably achievable . typically , the range of control on the phase adjust circuits and on the amplitude adjust circuits need not be particularly large , as large angle or large amplitude corrections are not normally required . for the receive channel , consider the effect of injecting into the downconverter ( mr 1 and mr 2 ) as a receive signal , a pilot tone that is close in frequency to the rf carrier frequency , namely a * cos ( 2πf 1 t ), where now a is the amplitude of the pilot tone and f 1 is the pilot tone frequency . the pilot tone is mixed by the inphase and quadrature components of the rf frequency ( 5 . x gigahertz in the exemplary embodiment ), namely cos ( 2πf 2 t ) and − sin ( 2πf 2 t ), where f 2 is the rf frequency ( 5 gigahertz in this specific example ). for a perfect system , this would provide as the output of the downconverter ir = a   cos  ( 2  π   f 1  t )  cos  ( 2  π   f 2  t ) = a 2  cos  ( ( 2  π   f 1 - 2  π   f 2 )  t ) + a 2  cos  ( ( 2  π   f 1 + 2  π   f 2 )  t ) qr = - a   cos  ( 2  π   f 1  t )  sin  ( 2  π   f 2  t ) = a 2  sin  ( ( 2  π   f 1 - 2  π   f 2 )  t ) - a 2  sin  ( ( 2  π   f 1 + 2  π   f 2 )  t ) the components in the upper sideband ( f 1 + f 2 ) will be out of the pass band of the receive channel and can be neglected . therefore only the difference frequency components need be considered . for an imperfect system , the difference frequency components ( lower sideband ) may be expressed as : ir = a 1 2  cos  ( ( 2  π   f 1 - 2  π   f 2 + θ 1 )  t ) qr = a 2 2  sin  ( ( 2  π   f 1 - 2  π   f 2 + θ 2 )  t ) a 1 , a 2 = unequal amplitudes of the downconverted signals in the two channels θ 1 , θ 2 = unequal phase shifts of the downconverted signals in the two channels in the exemplary embodiment , if the magnitude of the frequency difference | f 1 − f 2 | is 5 megahertz , the lower sideband signals ir and iq will be 5 megahertz sinusoidal baseband signals . these 5 megahertz sinusoidal baseband signals are detectable by the digital signal processing circuitry normally used for data recovery , allowing a 1 , a 2 , p 1 and p 2 to be adjusted to make a 1 = a 2 and θ 1 = θ 2 . it is not necessary to adjust the phase shift so that θ 1 = θ 2 = 0 . in that regard , the ability to adjust p 1 and p 2 would allow such an adjustment , but there is no local reference to base such an adjustment on . therefore both p 1 and p 2 do not need to be adjusted , though if only one of them is adjustable , twice the range of adjustment would be needed to provide the same total relative adjustment in phase between ir and qr . for the example of a system using a 5 . x gigahertz rf carrier and a 5 megahertz baseband signal , | f 1 − f 2 | will be 5 megahertz if the pilot tone frequency is 5 megahertz below or 5 megahertz above the rf carrier frequency . for the alignment of the receive channel , an iterative process is carried out using the phase adjust circuits p 1 and p 2 and the amplitude adjust circuits a 1 and a 2 . in this case , again with the antenna disconnected , the pilot tone is injected through switch sw 1 and coupler c 1 as a received signal into mixers mr 1 and mr 2 . in the example being used herein for explanation only , wherein the baseband frequency is assumed to be 5 megahertz and the broadcast frequency is assumed to be 5 gigahertz with the upper sideband of the broadcast signal being used for data communication purposes , a convenient pilot tone frequency for alignment of the received channel is 5 megahertz below the broadcast carrier frequency . the mixers mr 1 and mr 2 provide inphase and quadrature outputs through amplitude adjust circuits a 1 and a 2 , typically to analog - to - digital converters in a dsp , not shown . the pilot tone will be downconverted to 5 megahertz . the digital signal processing circuit will detect the i / q amplitude and phase mismatch from the signals ir and qr of fig3 and the quadrature error of the 5 megahertz signal will be minimized by controlling the amplitude and phase adjust circuits iteratively as previously described to minimize the i and q phase mismatch error . [ 0047 ] fig4 is a block diagram similar to fig3 though including intermediate frequency combiners / dividers h 1 and h 2 . combiner / divider h 1 combines the inphase and quadrature signals output by mixers mr 1 and mr 2 into a single intermediate frequency received signal irm_out . combiner / divider h 2 separates the inphase and quadrature signals from the intermediate frequency signal irm_in to provide the inphase and quadrature signals to the rf mixers mt 1 and mt 2 . of course , the pilot tone circuitry , the mixer mp , low pass filter lpf and log detector , if on chip , need only be turned on during the alignment process . as previously mentioned , the variable attenuators a 1 , a 2 , a 3 and a 4 in a preferred integrated circuit embodiment of the present invention are each responsive to a respective control voltage which may be provided , by way of example , by a dsp through digital to analog converters . an exemplary circuit with a voltage control of the amplitude is shown in fig8 . this circuit is simply a π network with a fixed pass resistor r and variable bypass resistors comprising matched mos devices m 1 and m 2 acting as variable resistors controlled by the voltage vc on the common gate connection . the phase adjust circuits p 1 , p 2 , p 3 and p 4 may also be voltage controlled using a circuit substantially as shown in fig9 . as shown therein , ac coupling capacitors c 1 and c 2 form a t network with a variable capacitor comprising a varactor d 1 in the leg of the t , the varactor being back biased or at least biased below the forward conduction voltage of the varactor by a variable voltage vv . the capacitance of the varactor is dependent upon the voltage vv across the varactor , controlled by the control voltage vv applied to the cathode of the varactor through resistor r , the resistor preferably having a sufficiently high resistance to not significantly affect the phase shift provided by the circuit . for desensitizing the circuit , a fixed capacitor ( not shown ) may be placed in parallel with the varactor . of course the circuits of fig8 and 9 are exemplary only , as other amplitude and phase adjust circuits may be used as desired . like the variable attenuators a 1 , a 2 , a 3 and a 4 , the phase adjust circuits may each be responsive to a respective control voltage provided by a dsp through digital to analog converters . as stated before , the present invention alignment methods and apparatus for i / q ( inphase and quadrature ) phase and amplitude error correction and image rejection improvement may be used in various ways . by way of example , the invention may be used in portable communication devices for alignment of the transmission and receive channels each time the portable communication device is turned on . alternatively , the invention may be used for alignment of transmit and receive channels each time the respective channel is switched on . in that regard , the alignment process itself in accordance with the present invention may be completed very rapidly , usually under processor or dsp control , thereby not occupying significant transmit and receive time . the present invention may also be used for one - time phase and amplitude error correction and image rejection improvement at the time of integrated circuit manufacture , making permanent corrections through techniques such as , by way of example , laser trimming . the one - time phase and amplitude adjustment allows some of the circuits for the adjustment such as the transmit mismatch monitoring circuit and pilot tone generating circuit to be off - chip , reducing the integrated circuit complexity . however it does not provide for compensation of circuit drifts with time and temperature , and does not provide for compensation of the transmit and receive channels at the specific channel frequency being used . in that regard , the present invention error correction may be carried out at the specific channel frequency being used , or alternatively at a fixed channel frequency , such as a midrange frequency . it should be noted that in the present invention , both gains and both phase shifts in each of the transmit and receive channels are controlled variables adjusted during the alignment process . one amplitude and one phase in each channel could be fixed , with the other phase and amplitude being adjusted in accordance with the present invention to provide the desired orthogonality and amplitude matching in most systems . thus while certain preferred embodiments of the present invention have been disclosed herein , such disclosure is only for purposes of understanding exemplary embodiments and not by way of limitation of the invention . it will be obvious to those skilled in the art that various changes in form and detail may be made in the invention without departing from the spirit and scope of the invention as set out in the full scope of the following claims .