Field of the Invention
The present invention relates to a communication system, and more
particularly to a method and apparatus for transmitting a signal in such a communication
system.
Background of the Invention
New cellular standards such as EDGE and EDGE phase II require transmitters
with low error vector magnitude (EVM) in order to limit the link level degradation
for high-speed data transmission. A prior art modulator is shown in FIG. 1. This
type of modulator uses an In-Phase/Quadrature Phase (IQ) modulator with analog balancing
using varactors and digital-to-analog (D/A) converters 103 to control the quadrature
local oscillator (LO) network in order to minimize image components. As depicted
in FIG. 1, most direct IQ modulators today use a local oscillator set at the selected
RF channel and use a phase locked loop (PLL) synthesizer 106 with steps equal to
the channel spacing (e.g., 200khz for GSM). In this implementation, the LO leakage
is then centered directly at the RF channel (a typical value is in the range of
30-35 dB of LO leakage), as is the image component introduced by a gain/phase imbalance
of the IQ modulator. A typical value of 30-35 dB of image rejection is achieved
using a polyphase RC/CR quadrature network 109. Considering an image rejection of
IMr = 35 dB as best case with an LO leakage of LO leak = 30dB, the total EVM achieved
by this system is in the range of EVM = 4.28% (or EVM = 2.03% if the LO leakage
is removed from the EVM calculation) under the assumptions of having a LO phase
noise of 0.5 degrees rms, the third order intermodulations of the IQ baseband at
-60 dBc and a power amplifier (PA) with a limited non-linearity.
An other prior art modulator showing a similar structure as used in
the present application is known from EP-A-0 999 645.
Brief Description of the Drawings
In order that the present invention may be better understood, an embodiment
thereof will now be described by way of example only, with reference to the accompanying
drawings in which:
- FIG. 1 generally depicts a block diagram of a prior art IQ modulator;
- FIG. 2 generally depicts a transmitter capable of operating in either a low
IF (LIF) mode or in a very low IF (VLIF) mode in accordance with the invention;
- FIG. 3 generally depicts a block diagram of a first order complex balanced multiplier
suitable for use in the modulator of FIG. 2;
- FIG. 4 generally depicts a block diagram similar to FIG. 3 depicting a mathematical
model of a balanced multiplier suitable for use in the transmitter of FIG. 2;
- FIG. 5 generally depicts a power spectrum of an EDGE 8PSK modulated signal and
the generated image components when operating at Very Low IF;
- FIG. 6 generally depicts an alternate implementation which combines a balanced
complex multiplier with modulation phase mapping at a operating frequency equal
to the data symbol rate in accordance with the invention;
- FIG. 7 further depicts the phase accumulator of FIG. 6 in accordance with the
invention; and
- FIG. 8 generally depicts the digital quadrature local oscillator as shown in
FIG. 2 in accordance with the invention.
Detailed Description of a Preferred Embodiment
Stated generally, transmitter uses a digital very low IF with a digital
complex balanced multiplier in conjunction with a fractional N synthesizer which
reduces the impact of IQ quadrature circuitry imbalance and LO leakage in the overall
error vector magnitude (EVM) budget while still meeting spectral mask purity requirements
is disclosed. In addition, the presence of the digital transmit balanced complex
multiplier offers the capability to perform a digital phase/amplitude pre-distortion
adjustment as required.
Stated more specifically, in a first embodiment, a transmitter for
use in a wireless communication system is provided according to the features of
Claim 1. The balanced complex multiplier provides a gain and phase adjustment related
to at least a component imbalance in the IQ modulator circuitry. Additionally, the
gain and phase adjustment is performed at a specific frequency to produce the signal
having a reduced IF LO leakage or at a plurality of frequencies to produce the signal
having a reduced IF LO leakage.
The transmitter in this embodiment also includes a low IF value which
is in the range of 2*channel spacing to 10*channel spacing. The balanced complex
multiplier operates in either a 1X symbol rate mode or an oversampling mode and
includes an AC coupling network which is implemented on the I and Q baseband outputs
to reduce the level of IF LO leakage. The transmitter in this embodiment also includes
a TX clean-up filter at the IF value which is implemented to reduce the image level
and the IF LO leakage prior to transmission.
In an alternate embodiment a transmitter for use in a wireless communication
system includes a balanced complex multiplier having as inputs I and Q signals and
signals from a digital local oscillator (LO) and producing I and Q output signals
at a first intermediate frequency (IF) and IQ modulator circuitry having as input
the I and Q output signals at a very low IF value and a LO signal at a final transmit
frequency and producing a signal having a reduced image level and a reduced LO leakage
prior to transmission. In this embodiment, the very low IF value is in the range
of the channel spacing/10 to the channel spacing/2 and the signal produced has a
reduced image level displaced by twice the low IF value without compromising the
output spectrum.
FIG. 2 generally depicts a block diagram of a transmitter 200 in accordance
with the invention. As shown in FIG. 2, digital IQ input signals 201, 202 generated
by a pulse shaping filter 203 from a serial data transmission (SDTX) are processed
by a balanced complex multiplier 204 which is driven by signals output from a digital
local oscillator (LO) 218 to produce digital IQ output signals 205, 206. As shown
in FIG. 2, these signals 205, 206 are at a low IF as compared to the prior art transmitter
implementation where these signals would reside at DC. These signals 205, 206 are
then converted to analog signals via DACs 103 and low pass filtered via filters
112. The resulting analog I and Q signals drive respective quadrature IQ modulators
207, 208 where the local oscillator (LO) 212 is based on a fractional N synthesizer
with fine tuning resolution.
As shown in FIG. 2, balanced complex multiplier 204 operates at the
oversampling clock, i.e. at the same frequency as input signals 201 and 202, which
normally for a communication system compatible with EDGE is 16 times higher than
the symbol rate. Additionally, the balanced complex multiplier 204 provides several
functions in accordance with the invention. First, it provides gain and phase imbalance
correction of the IQ modulator circuitry 215 in order to reduce the image component
produced by the circuitry 215. Second, it moves the I & Q signals to a shifted
IF or in general adds a phase modulation Osd(t) or 2*pi*DIF*t in the
particular case of Low IF or Very Low IF in order to offset the image component
by 2*Osd from the selected radio frequency (RF) transmit (TX) channel
and to get additional image reduction due to the receive (RX) filter. It also moves
the LO leakage at Osd in order to reduce the LO leakage contribution
in the overall EVM. Finally, in an additional embodiment, it may be used to provide
a partial AM/PM correction of the overall transmitter since it allows a phase component
to be beneficially added to compensate for the overall phase distortion of the transmitter.
As shown in the preferred embodiment of FIG. 2, either a very low
IF (VLIF) in the range of 20 to 80 kHz or a low IF (LIF) in the range of 1 to 4
MHz (nominally 2 MHz) is chosen to generate signals Iout 205 and Qout
206. In the VLIF mode, after these signals are converted to analog and filtered,
they are then up-converted to the final TX frequency. In the LIF mode, these signals
are up-converted to the final TX frequency by a fixed IF in the range of 100 MHz
where a TX IF filter 221 cleans up the spectrum by reducing the level of IF LO leakage
which is 100 MHz + 2 MHz away (for the case of Low IF only). Filter 221 also reduces
the level of the image at the frequency offset of 100 MHz + 4 MHz before the filtered
output signal 224 is up-converted to the final transmit frequency using an upconverter
mixer 226.
In this LIF transmitter topology, the choice of the 2 MHz IF with
IQ modulator circuitry 215 allows the generation of a 100 MHz modulated signal with
the imperfections of the IF LO leakage and the corresponding image moved in frequency
away from the transmitted channel by a frequency offset of 2 MHz and 4 MHz respectively.
In addition, the level of these imperfections is reduced. The IF LO leakage is reduced
through the use of AC coupling on the Low IF IQ signals to filter the DC component.
The image level is reduced through the use of the balanced complex multiplier 204
to compensate for the gain and phase mismatches. Further imperfections are filtered
by the TX cleanup filter 221 such that the overall imperfections are below the minimum
requirements of the spectrum mask; for example, -60 dBc for EDGE. The Low IF IQ
modulator reduces the level of images at -35 dBc, such that the TX cleanup filter
221 only requires -35 dB of attenuation at 4 MHz frequency offset to achieve -60
dBc.
The balanced complex multiplier 204 using first order correction is
shown in FIG. 3 in accordance with the invention. The complex balanced multiplier
204 comprises a Q-path gain adjustment means 320; first, second, third and fourth
multipliers 331, 332, 333, 334; and first and second adder/subtractors 341, 342.
Digital LO 218 receives a phase signal Osd from an IF LO generated by
a two phase accumulators 801, 802 as shown in FIG. 8 which increments at a fixed
step equal to a value of phase 2*pi*DIF/fin where DIF is the programmed
IF value and fin is the frequency of the operating clock. The phase output
accumulates the fixed step value 2*pi*DIF/fin at every clock cycle of
fin to get the total phase 2*pi*DIF/fin*n where n is the neme
clock cycle used by the digital IF (e.g., if n=5, then 5 clock cycles have elapsed
that have accumulated 5 values in the digital IF accumulator). As shown in FIG.
8, the Q-path accumulator loads the phase correction β at the beginning of
a transmission. The phase accumulators 801, 802 outputs an address to a ROM table
805 which outputs cos(Osd), sin(Osd), cos(Osd +
β) and sin(Osd + β) signals, which are then applied to the
second inputs of the first, second, third and fourth multipliers 331, 332, 333,
334 respectively. Additionally, the first and second multipliers 331, 332 have the
digital I-path signal Iin that are generated by the pulse shaping filters
203 applied to their first inputs, while the third and fourth multipliers 333, 334
have the digital Q-path signal Qin that are generated by the pulse shaping
filters 203 applied to their first inputs. The outputs of the first and fourth multipliers
331, 334 are applied as inputs to the first adder/subtractor 341 which outputs a
digital baseband I signal while the outputs of the second and third multipliers
332, 333 are applied as inputs to the second adder/subtractor 342 which outputs
a digital baseband Q signal Qout.
The effect of the complex balanced multiplier 204 is to generate output
I and Q signals Iout and Qout from input signals Iin,
Qin and Osd, as set out in equation (1) below:
Vout = Iout + jQout
= (Iin + jAdejβQin)ejOsd
or
Vout(n) = 1 / (2) [Vin(n)ejOsd(n)
(1 + Ad0ejb0)] + 1 / (2) [V*in(n)e-jOsd(n)
(1 - Ad0e-jb0)]
where Vin = Iin + jQin and V *in
= Iin - jQin (where * stands for vector conjugate).
This corresponds to:
Iout(n) = cos(b0)A(n)cos(Osd(n)
+ O(n))
Qout(n) = Ad0 cos(b0)A(n)sin(Osd(n)+O(n)
+ b0).
From equation (1), it can be seen that Qin may differ from what it is
supposed to be because of relative imbalances between the I and Q paths by 1/Ad
in gain and -β in phase. The effect of the balanced complex multiplier 204
is to correct the imbalance as desired. Unfortunately, the imbalance between the
paths will not be constant over frequency due to mismatches in filters 112. Thus,
in this embodiment, the balanced complex multiplier 204 of FIG. 2 is only able to
exactly balance the I and Q paths at a single frequency. Equation (2) can be expanded
for multiple frequency correction, in alternate embodiments, to become:
Vout(n) = 1 / (2) [Vin(n)ejOsd(n)(1
+ Ad0ejb0)] + 1 / (2) [V*in(n)ejOsd(n)(1
- Ad0e-jb0)] +1 / (2) [Vin(n
- 1)ejOsd(n)(1 + Ad1ejb1)]
+1 / (2) [V*in(n - 1)ejOsd(n)(1
- Ad1e-jb1)] + ...1 / (2) [Vin(n
- k)ejOsd(n)(1 +
Adkejbk)] + 1 / (2) [V*in(n
- k)ejOsd(n)(1 -
Adke-jbk)] +
In order to fully describe the imbalance between the paths created
by the differences in the analogue components contained in these paths, one must
consider the imbalances as being caused by a filter having a Finite Impulse Response
(FIR) given by equation (6) below:
Himbalance(z) = 1 / (Ad0)·e-jβ0
+ 1 / (Ad1)·e-jβ1
· z-1 + 1 / (Ad2)·e-jβ2
· z-2 + ...
Clearly, to counter the effect of such an FIR one needs to provide a filter or
equivalent means having the response given by equation (7) below:
Hbalance(z) = Ad0
· e+jβ0 + Ad1
· e+jβ1· z-1 +
Ad2 · e-jβ2
· z-2 + ...
From equation (7), it is apparent that the first-order compensation provided by
balanced complex multiplier 204 corresponds to the first term of Hbalance.
In order to provide higher-order compensation or balancing, one could provide a
dedicated digital filter having an FIR to compensate for the imbalance up to as
many orders as desired. However, it is preferable to re-use some of the elements
of the complex multiplier contained within the digital VLIF mixer stage.
A model for balanced complex multiplier 204 is shown in FIG. 4. This
is a mathematical vector representation of the IQ modulator with the presence of
IQ mismatches, i.e. Hbalance not equal to 1. The first mixer 401 with
the * is a representation of a balanced complex multiplier. With reference to this
figure, when Hbalance from equation (7) is equal to 1, perfect balance
exists and no image component is generated. However, when an imbalance exists, a
path for the image component is generated through 1-Hbalance in such
a way as to compensate the created image component introduced by IQ modulator circuitry
215 as will be shown.
A model for IQ modulator circuitry 215 is given by equation (8):
S(t) = (Voutm+V*outm) / (2)
where S(t) is the output of IQ modulator circuitry 215 which is a real signal and
Voutm is the equivalent output vector of IQ modulator circuitry 215.
Given the presence of a gain Ad and a phase mismatch of IQ modulator
circuitry 215, then Voutm can be expressed by:
Voutm = ej(ωRFt+Osd(t))[Vinm (Adejb
- 1) / (2)] + ej(ωRFt+Osd(t))
[V*inm (Adejb + 1) / (2)].
Note that the first term represents the image component that will be at a phase
offset of +2Osd (since Vsd is already phase shifted by +Osd(t)
by balanced complex multiplier 204) from the RF channel while the second term is
the wanted channel centered at the RF channel (since V*inm is phase shifted
by -Osd(t)).
Now, if balanced complex multiplier 204 and IQ modulator circuitry
215 driven by synthesiser 206 operating at Osd, then the resulting output
is:
Voutm = ej(ωRFt+2Osd(t))
[Vin (Adejb - Ad0ejb0) / (2)]
+ej(ωRFt) [V*in (Adejb
+ Ad0e-jb0) / (2)]
Where Vin is the input of the balanced complex multiplier 204 and Vinm
is the output of the balanced IQ multiplier. The first term represents the remaining
image component at 2Osd offset and is nulled if perfect balancing correction
is performed, i.e. if Adejb = Ad0ejb0.
The second term is the wanted channel at zero offset multiplied by a gain factor,
which in the case of perfect balancing is Ad0cos(b0).
This gain factor is dependent upon the gain and phase imbalance of IQ modulator
circuitry 215 and can be compensated digitally by dividing Vin by
Ad0cos(b0). The image rejection ration is then
equal to:
Adejb + Ad0e-jb0 / (Adejb
- Ad0ejb0).
To verify the inventive concept, simulations were performed for certain
scenarios. The first scenario is for a very low IF (i.e., Osd = 2πFfi).
The model includes a D/A resolution of 10 bits, a 4th order Butterworth low pass
filter at 800 kHz bandwidth, a non-linear IQ modulator specified by its second and
third order rejection IM2 and IM3, a programmable synthesiser at Ffi
with a phase noise of 0.5 degrees rms, a linearised GMSK receive filter to measure
the EVM and a non-linear power amplifier (PA). FIG. 5 generally depicts a very low
IF transmit (TX) image and output channel for channel spectrum related to Enhanced
Data rates for GSM Evolution (EDGE) modulation. As shown in FIG. 5, a very low IF
with Ffi = 100 kHz with an image rejection of 35 dB appearing
at -200 kHz was implemented. Important to note is that the choice of the IF value
is critical in order to optimize the reduction of the EVM and still meet the spectral
mask as defined by the GSM 05.05 template shown in FIG. 5. It was found that the
baseband non-linearity of the IQ modulator is critical for this system, mainly the
IM3 since when operating at Ffi, the non-linearity modulation
is shifted at 3 Ffi. Higher Ffi means better
EVM rejection, but higher sensitivity to IM3 for the modulator.
A comparison between a prior art IQ modulator and a very low IF (or
Direct IQ modulator Ffi = 0) using balanced complex multiplier
204 is shown below. In the prior art case, Ffi = 0, IM2=IM3=60
dBc, image rejection = -35 dB, LO leakage = -30 dBc, LO phase noise = 0.5 degrees
rms and a non-linear PA is implemented. In this example, EVM = 4.28 % (including
LO leakage) or 2.03 % (without LO leakage). In an example in accordance with the
invention where a direct IQ modulator is used with balanced complex multiplier 201,
Ffi= 0, IM2=IM3=60 dBc, image rejection = -40 dB (due to digital
correction), LO leakage = -30 dBc, LO phase noise = 0.5 degrees rms and a non-linear
PA is implemented. In this example, EVM = 4.08 % (including LO leakage) or 1.51
% (without LO leakage). In another example in accordance with the invention, where
a very low IF IQ modulator is used with balanced complex multiplier 201,
Ffi = 65 kHz, IM2=IM3=60 dBc, image rejection = -40 dB (due to
digital correction), LO leakage = -30 dBc, LO phase noise = 0.5 degrees rms and
a non-linear PA is implemented. In this example, EVM = 2.76 % (including LO leakage).
As can be seen, the improvement of using the very low IF IQ modulator rather than
a prior art modulator is in the range of 1.50 % on the EVM, which is 35 % improvement.
FIG. 6 generally depicts an alternate implementation which combines
a balanced complex multiplier with modulation phase mapping at a operating frequency
equal to the data symbol rate in accordance with the invention while FIG. 7 further
depicts the phase accumulator of FIG. 6 in accordance with the invention. As shown
in FIG. 6, the SDTX input is the input data to be transmitted at a bit rate fb
and represents the data input to the phase mapping circuitry 600. The phase mapping
mapped in block 600 for 3 bits is an equivalent phase symbol for an EDGE-compatible
system (as an example) at a rate of 1X= fb/3. At this point, the signals
Iphase adjust 701 and Qphase adjust 702 are added to the generated
Low IF phase in phase accumulator 603 to generate two phase values Ifphase_I 604
and Ifphase_Q 605 which each address ROM tables 608, 609 respectively to generate
a cos and sin signals labelled TM_I 612 and TM_Q 613. Signals TM_I 612 and TM_Q
613 are at the symbol rate 1X and are pulse shaped filtered and oversampled to a
higher frequency clock with a Complex Filter 615 (Complex FIR or Complex IIR) since
the spectrum of the input TM_I + j*TM_Q is frequency shifted to a Low IF value to
produce signals Iout 205 and Qout 206 in this alternate implementation
in accordance with the invention.
While the invention has been particularly shown and described with
reference to a particular embodiment, it will be understood by those skilled in
the art that various changes in form and details may be made therein within the
scope of the invention, as described in the accompanying claims. The corresponding
structures, materials, acts and equivalents of all means or step plus function elements
in the claims below are intended to include any structure, material, or acts for
performing the functions in combination with other claimed elements as specifically
claimed.