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`US006590943Bl
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`(10) Patent No.:
`(45) Date of Patent:
`
`US 6,590,943 Bl
`Jul. 8, 2003
`
`(54) RADIO RECEIVER
`
`(75)
`
`Inventor: Danish Ali, South Croydon (GB)
`
`(73) Assignee: Koninklijke Philips Electronics N.V.,
`Eindhoven (NL)
`
`By S.A. Jantzi, K.W. Martin and Adel S. Sedra, "Quadrature
`Bandpass fl~ Modulation for Digital Radio", IEEE Journal
`of Solid-State Circuits. vol. 32, No. 12, Dec. 1997, pp. 1935
`to 1950.
`
`* cited by examiner
`
`( *) Notice:
`
`Subject to any disclaimer, the term of this
`patent is extended or adjusted under 35
`U.S.C. 154(b) by O days.
`
`Primary Examiner-Stephen Chin
`Assistant Examiner-Curtis Odom
`(74) Attorney, Agent, or Firm----Dicran Halajian
`
`(21) Appl. No.: 09/413,050
`
`(22) Filed:
`
`Oct. 5, 1999
`
`(30)
`
`Foreign Application Priority Data
`
`Oct. 8, 1998
`
`(GB) ............................................. 9821839
`
`Int. Cl.7 ............................ H03D 3/22; H04L 27/22
`(51)
`(52) U.S. Cl. ........................ 375/332; 375/316; 455/130
`(58) Field of Search ................................. 341/131, 143,
`341/61, 155; 375/316, 215, 233, 332
`
`(56)
`
`References Cited
`
`U.S. PATENT DOCUMENTS
`
`6/1998 Stikvoort .................... 341/143
`5,764,171 A
`5,787,125 A * 7/1998 Mittel
`........................ 375/316
`
`OIBER PUBLICATIONS
`
`Jantzi et al. "Quadrature Bandpass Sigma-Delta Modulation
`for Digital Radio" IEEE Journal of Solid-State Circuits, vol.
`32, No. 12, Dec. 1997.*
`
`(57)
`
`ABSTRACT
`
`A radio receiver has an input coupled to first and second
`quadrature related low-IF frequency translation stages gen(cid:173)
`erating IF signals at substantially half the channel bandwidth
`or channel spacing. The IF signals which may be optionally
`filtered in a pre-filter, for example a polyphase filter, are
`applied to first and second cross-coupled continuous time,
`low pass Sigma-Delta modulators. The modulators include
`transconductor-capacitor integrators, all but the first integra(cid:173)
`tors of which are cross-coupled by gyrators set to resonate
`at the IF frequency. Outputs of the Sigma-Delta modulators
`include 1 bit oversampled signals. The oversampled signals
`may be filtered in first decimation stages which provide
`anti-aliasing. The decimated signals are derotated and deci(cid:173)
`mated in a second decimation means to provide outputs at
`base band. The base band outputs are equalized and
`demodulated to provide an output. The input signal may be
`frequency translated to zero IF and then filtered in low pass
`filters.
`
`18 Claims, 7 Drawing Sheets
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`Ex.1014
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`Ex.1014
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`US 6,590,943 Bl
`
`1
`RADIO RECEIVER
`
`FIELD OF THE INVENTION
`The present invention relates to a digital radio receiver or
`a receiver section of a radio transceiver and to integrated
`circuits embodying the digital radio receiver.
`
`BACKGROUND OF THE INVENTION
`An article entitled "Quadrature Bandpass ti.~ Modulation
`for Digital Radio", IEEE Journal of Solid-State Circuits. Vol
`32. No. 12, December 1997, pages 1935 to 1950, by S. A
`Jantzi, K. W. Martin and Adel S. Sedra, mentions that a
`critical component in low-IF receiver architectures is one
`that performs bandpass analogue to digital conversion on
`quadrature signals. This article mentions a low IF variant of
`a direct conversion receiver having I and Q mixer outputs
`comprising narrow band signals at an IF. These outputs
`undergo complex, or quadrature, anti-alaising filtering and
`the outputs are then digitised in concert with a quadrature 20
`bandpass Sigma-Delta modulator. The modulator takes in a
`complex analogue input signal and produces a complex
`digital output which is representative of the complex input
`within a narrow bandwidth. The spectrum of the output,
`being complex, may be asymmetric about de. Mathematical 25
`simulations of high order Sigma-Delta modulators do not
`always lead to stable implementations and in consequence
`are difficult to design.
`FIG. 9 of this prior art article also discloses a quadrature
`bandpass Sigma-Delta modulator comprising several com- 30
`plex resonators. Each of the complex resonators is a simple
`complex filter which forms a complex pole on the unit circle.
`By having feedback around the quantizer, these poles form
`noise-shaping zeros responsible for nulling in-band quanti(cid:173)
`zation noise. FIG. 11 of this prior art article discloses a 35
`fourth order complex modulator having four complex poles
`inside a global feedback loop. The real and imaginary inputs
`are oversampled and the samples are supplied by way of
`respective capacitors to complex feed-ins of four complex
`resonators of the complex modulator. The real and imagi- 40
`nary channels each has a latched comparator that produces
`a one-bit output and drives a one-bit feedback digital to
`analogue converter DAC. The DAC output levels are fed
`back into the respective modulator stages through respective
`capacitors. The described structure allows independent posi- 45
`tioning of all transfer function poles and zeros, which
`enables noise shaping to be performed at an arbitrary
`fraction of the sampling frequency and for noise-shaping
`zeros to be spread optimally across the band of interest.
`Optimal positioning of zeros within the band of interest 50
`significantly increases the signal-to-noise ratio (SNR)
`obtainable by a given modulator order. The described circuit
`has no provision for anti-alising which will occur due to the
`inputs to the Sigma-Delta modulator being sampled at the bit
`rate of the outputs from the latched comparators. By having 55
`the sampling before the loop filter, the loop filter cannot
`provide any anti-alising filtering which leads to interference
`from unwanted signals. The cited article discloses the pro(cid:173)
`vision of a complex anti-alias filter and amplifier to reduce
`this interference before the signals are applied to the Sigma- 60
`Delta modulator. This anti-alias filter has to have a high
`out-of-band attenuation and as a consequence it has a high
`power consumption and requires close matching. Such a
`filter if implemented as an integrated circuit migh require
`external ( or off-chip) passive components.
`United States of America Patent Specification U.S. Pat.
`No. 5,764,171 discloses a quadrature signal conversion
`
`2
`device comprising frequency translation means for convert(cid:173)
`ing a received signal into frequency down converted quadra(cid:173)
`ture related signals. Each of the quadrature related signals is
`supplied to a respective Sigma-Delta converter comprising a
`5 signal combining stage having inputs for one of the down(cid:173)
`converted signals and for a signal fed back from an output
`of the Sigma-Delta converter. An output of the combining
`stage is coupled to an input of a filter stage, to which input
`is coupled the output of the filter stage of the other Sigma-
`10 Delta converter so that the Sigma-Delta converters are cross
`coupled thereby forming a polyphase filter. A quantiser is
`coupled to each of the filter stages to provide output signals
`suitable for processing in a digital signal processor (DSP)
`which produces the receiver's output signal. Using a single
`15 filter stage reduces the quantisation noise but there is a desire
`to reduce the quantisation noise further.
`
`SUMMARY OF THE INVENTION
`
`An object of the present invention is to be able to make
`an integratable receiver or receiver section of a transceiver
`with improved quantisation noise reduction.
`According to a first aspect of the present invention there
`is provided a receiver comprising an input, first and second
`quadrature related frequency translation stages coupled to
`the input, first and second continuous time, low pass Sigma(cid:173)
`Delta modulators coupled to the first and second frequency
`translation stages, respectively, for producing oversampled
`digital signals, the first and second Sigma-Delta modulators
`having a low frequency bandpass response, means for
`demodulating the digitised outputs, and means for altering
`the bit rate of the oversampled signals to a rate required by
`the demodulating means, wherein the first and second
`Sigma-Delta modulators each comprise a corresponding
`plurality of N serially connected integrators, where N is an
`integer having a value of at least 2, and wherein the second
`to Nth integrators of the first Sigma-Delta modulator are
`cross-coupled with the corresponding integrator of the sec(cid:173)
`ond Sigma-Delta modulator.
`By the first and second Sigma-Delta modulators being
`continuous time modulators, the sampling follows the loop
`filter thereby providing anti-alias filtering. Since the cross(cid:173)
`coupled first and second Sigma-Delta modulators have a low
`frequency bandpass response matching is easier to achieve.
`Good matching is of importance because it is not easy to
`remove the error component of the wanted and interfering
`signal once it has been generated and also because of the
`effect on the quantisation noise spectrum. Since the cross(cid:173)
`coupled modulators have a low frequency bandpass
`response they can be implemented as a low power integrated
`circuit. By not cross-coupling all the integrators, especially
`the first integrator, de offsets are reduced.
`
`BRIEF DESCRIPTION OF THE DRAWINGS
`
`In an embodiment of the receiver, each of the Sigma-Delta
`converters includes a continuous time loop filter before the
`analogue-to-digital converter (ADC) in order to pass the
`wanted signal band but apply heavy attenuation to signals at
`frequencies higher than half the sampling rate thereby
`avoiding aliasing.
`The first and second quadrature related frequency trans(cid:173)
`lation stages may be low IF or, alternatively, zero IF stages.
`A pre-filter, for example a polyphase filter, may be
`coupled between a respective output of each of the first and
`65 second frequency translation stages and a respective one of
`the first and second Sigma-Delta modulators. The provision
`of the pre-filters provides low order anti-aliasing filtering
`
`Ex.1014
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`US 6,590,943 Bl
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`3
`and blocking suppression which avoids the Sigma-Delta
`modulators having to block signals which it is estimated
`could require an increase in its dynamic range and a very
`substantial increase line rate.
`Automatic gain control means may be coupled between a
`respective output of each of the first and second frequency
`translation stages, operating as low IF stages, and the
`Sigma-Delta modulators. An advantage of providing gain
`control is that it reduces the dynamic range of the Sigma
`Delta modulators further.
`When the first and second frequency translation stages are
`zero IF stages, the products of mixing are applied to low pass
`filters.
`The bit rate altering means may comprise at least one
`decimating means.
`In an embodiment of the present invention the over(cid:173)
`sampled outputs of the first and second Sigma-Delta modu(cid:173)
`lators are applied to first decimating means coupled to
`outputs of the modulators for reducing the sampling rate
`thereby reducing the noise power, derotation means are
`coupled to the first decimating means, the derotation means
`producing a relatively pure sine wave signal thereby pre(cid:173)
`venting large out-of-band quantisation noise from being
`aliased in band, and second decimating means are coupled
`to the derotation means for reducing the sampling rate
`further.
`The first decimating means may be cross coupled in order
`to give bandpass noise shaping at the low IF thereby
`reducing the need for a higher over-sampling factor.
`According to a second aspect of the present invention
`there is provided an integrated circuit comprising a receiver
`in accordance with the first aspect of the present invention.
`BRIEF DESCRIPTION OF THE DRAWINGS
`The present invention will now be described, by way of
`example, with reference to the accompanying drawings, 35
`wherein:
`FIG. 1 is a block schematic diagram of one embodiment
`of a receiver made in accordance with the present invention,
`FIG. 2 is a block schematic diagram of the cross coupled
`Sigma-Delta modulators implemented using transconductor(cid:173)
`capacitor integrators,
`FIG. 3 is graph of frequency in Hertz versus power in
`dBm showing the cross-coupled Sigma-Delta modulator
`signal and noise at a 13 MHz sample rate,
`FIG. 4 is the frequency spectrum (frequency versus
`power) of the raw output from a Sigma-Delta modulator,
`FIG. 5 is the frequency-spectrum (frequency versus
`power) after the first stage of decimation,
`FIG. 6 is signal and noise spectrum (frequency versus
`power) after the second stage of decimation,
`FIG. 7 is a block schematic diagram of a cross-coupled
`Sigma-Delta modulators implemented using op-amp filters,
`FIG. 8 is a block schematic diagram of a second embodi(cid:173)
`ment of a receiver made in accordance with the present
`invention, and
`FIG. 9 is a block schematic diagram of a third embodi(cid:173)
`ment of a receiver made in accordance with the present
`invention.
`In the drawings the same reference numerals have been
`used to indicate corresponding features.
`
`DETAILED DESCRIPTION OF THE
`INVENTION
`For convenience of description the present invention will
`be described with reference to the GSM (Global System for
`Mobile Communications) digital cellular telephone stan(cid:173)
`dard.
`
`4
`Referring to FIG. 1, the receiver (or receiver section)
`comprises an antenna 10 coupled to a low noise RF amplifier
`14 by way of a bandpass filter 12 which selects signals in the
`GSM band of 925 to 960 MHz. The signal from the amplifier
`5 14 is split at a node 16 and supplied to first inputs 18, 19 of
`balanced mixers 20, 21. Quadrature related local oscillator
`signals having a frequency offset by 100 kHz ( or half a
`channel) from the centre frequency of the received signal are
`supplied by a signal generator 22 to second inputs 24, 25 of
`10 the mixers 20, 21. Real and imaginary outputs 26, 27 of the
`mixers 20, 21, respectively, are supplied to cross coupled,
`continuous time, low pass Sigma Delta modulators 30 to be
`described in greater detail with reference to FIG. 2. Option(cid:173)
`ally a bandpass pre-filter 28 for blocking suppression is
`15 connected in the signal paths from the outputs 26, 27 of the
`mixers 20, 21. If desired a measure of automatic gain control
`may be applied to outputs of the pre-filter 28. The input
`signals to the Sigma-Delta modulators 30 are in-phase (I)
`and quadrature (Q) IF signals at 100 kHz and the outputs are
`20 oversampled 1-bit digital signals at 13 MHz.
`Cross coupled, first decimation stages 32, 34 are coupled
`to the in-phase (I) and quadrature (Q) outputs 36, 37,
`respectively, of the cross coupled, low pass Sigma-Delta
`modulators 30. The stages 32, 34 provide anti-alias bandpass
`25 filtering and a reduction in the sampling rate by, in the
`present embodiment, a factor of 6. The outputs from the first
`decimation stages 32, 34 are at 2.17 MHz. The signals from
`the first decimation stages 32, 34 are derotated in derotation
`stages 38, 40. Second decimating stages 42, 44 are coupled
`30 to the derotation stages 38, 40, respectively, and reduce the
`sampling rate by, in this embodiment, a factor of 8 to provide
`signals at 270.83 kHz, the bit rate of GSM. Outputs from the
`second decimating stages 42, 44 are supplied to an equaliser/
`demodulator stage 46 which provides an output 48.
`The operation of the receiver shown in FIG. 1 may be
`summarised by the incoming RF signal from the antenna 10
`is converted in the balanced mixers 20, 21 into in-phase (I)
`and quadrature (Q) components at a low IF equal to typically
`half the channel bandwidth or half the channel spacing.
`40 These I and Q signals are digitised using a pair of low-pass
`Sigma-Delta modulators 30 which have been cross-coupled
`in order to shift the noise shaping minimum from zero to the
`low IF in use. The bitstream output from the Sigma-Delta
`modulators 30 is then decimated and derotated to provide a
`45 multi-bit digitised zero-IF output, the majority of the adja(cid:173)
`cent channel filtering having been done in the decimation
`process. The multi-bit output is then demodulated as appro(cid:173)
`priate for the application.
`FIG. 2 illustrates the cross coupled, continuous time, low
`50 pass Sigma-Delta Modulators 30 in greater detail. Quadra(cid:173)
`ture related analogue low IF signals I and Q are applied
`respectively to input terminals 50, 51. Each input terminal
`50, 51 is coupled to a fourth-order, time-continuous, Sigma(cid:173)
`Delta modulator 52, 54. Each modulator 52, 54 comprises an
`55 anti-alias continuous time analogue loop filter consisting of
`four series connected transconductor capacitor integrators
`56, 58, 60, 62 and 57, 59, 61, 63. The second to fourth
`integrators of each modulator are cross-coupled by gyrators
`64, 66, 68. Each stage is set to resonate at a respective
`60 frequency in the IF band; the frequency being determined in
`accordance with the ratio gm!C. The value of C is set by the
`noise requirements and conductance gm is set to give the
`desired centre frequency for that value of C. Cross coupling
`these stages has the effect of introducing a negative suscep-
`65 tance at each capacitor site whose value is determined by the
`shift in frequency required and the characteristic admittance
`of the gyrator. The first stages 56, 57 are not cross-coupled
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`using a gyrator which avoids introducing a de offset to the
`outputs of these stages. Outputs of each of the four stages 56,
`58, 60, 62 and 57, 59, 61, 63 are combined in respective
`summation stages 70, 72. Outputs of the stages are applied
`to respective 1-bit analogue-to-digital converters (ADC) 74, 5
`76 in which the analogue signals are oversampled to provide
`1 bit signals at 13 MHz on the outputs 36, 37, respectively.
`By choosing a high over-sampling ratio, that is, the higher
`the number of samples over which the average can be made,
`the better will be the effective resolution of the ADC.
`The outputs of the ADCs 74, 76 are also fed back,
`converted into analogue signals in 1 bit DACs 78, 80, and
`combined in summation stages 82, 84 with signals on the
`respective input terminals 50, 51. The feed back loops
`ensure that, in the frequency band of interest, the average 15
`value of the quantisation noise produced by theADCs 74, 76
`is as small as possible, to make the averaging process
`worthwhile.
`By running the cross-coupled Sigma-Delta modulators at
`the sampling rate of 13 MHz with all the gyrators 64, 66, 68
`set to resonate at respective frequencies in the vicinity of 100
`kHz, the signal and quantisation noise spectra are as shown
`in FIG. 3. In FIG. 3 the continuous line 82 shows a GSM
`GMSK signal plus noise characteristic, the dotted line 84
`illustrates the ADC noise floor and the broken line 86
`indicates the DC noise. By choosing a low IF of 100 kHz the
`wanted GSM GMSK signal has been moved away from the
`DC noise spike 86. Additionally by reducing the clock rate
`to an acceptable value to save power, the GSM GMSK is
`well above the noise floor 84 over the whole of the 200 kHz
`bandwidth of the wanted signal.
`The bit streams on the outputs 36, 37 of the Sigma-Delta
`modulators are applied to the first decimation stages 32, 34
`which reduce the sample rate, reduce the very high levels of
`noise produced by the Sigma-Delta modulators outside the
`wanted signal bandwidth and provide the majority of the 35
`receiver's channel selectivity. In order to have an indication
`of the sort of filtering involved, reference is made to FIG. 4
`which shows the frequency spectrum from a fourth-order,
`low pass Sigma-Delta modulator fed with an input signal at
`maximum.power. For convenience of representation, the 40
`spectrum corresponds to the use of a zero IF rather than a
`low IF. The signal frequency is at 50 kHz and the ADC
`sampling frequency is 13 MHz. Examination of the fre(cid:173)
`quency spectrum illustrates the noise shaping action of the
`loop filter in the modulator by the fact that there is an 45
`absence of noise at low frequencies below 50 kHz and a
`great deal of noise at higher frequencies.
`FIG. 5 is a frequency spectrum of the signal at the output
`of a first decimation stage in which the sampling rate of 13
`MHz has been reduced by a actor of 6 to a rate of 2.17 MHz.
`It can be seen that the filter formed by the first decimation
`stage has reduced the noise power to the extent that the
`signal to noise ratio is +60.8 dB.
`FIG. 6 is a frequency spectrum of the signal at the output
`of the second decimation stage. A decimation factor of 8 is
`used to reduce the sampling rate of 270.833 ksamples/sec. 55
`The filtering is more accurately controlled because this stage
`is largely responsible for providing channel selectivity.
`Integration of the noise power reveals that the signal-to(cid:173)
`noise ratio has now increased to +82 dB.
`In connection with locating the derotation stages 38, 40 60
`(FIG. 1) between the first and second decimation stages,
`large out-of-band quantisation noise must not be aliased
`in-band so the derotation signal, effectively a local oscillator
`signal at -100 kHz, must be a relatively pure sine wave. A
`large word width is therefore needed to code the sine wave 65
`which will have an adverse effect on the power consumption
`of the digital signal processing unless the sampling rate has
`
`6
`been reduced significantly. Derotation cannot be postponed
`until after all of the decimation has been completed because
`the sampling rate is then too low to encode the signal
`without aliasing.
`The decimation of the 13 MHz signal can be done in any
`suitable way provided that the derotation can be effected
`satisfactorily. For example the factors of 6 and 8 could be
`say 24 and 2 respectively or 4 and 12 respectively. Also such
`factors can be achieved in one or more stages, for example
`10 a factor of 6 can be implemented as +2 and +3. Using two
`or more stages may lead to a saving of power. The overall
`decimation factor is determined to get the bit rate to a rate
`required by the equaliser/demodulator stage 46.
`In a non-illustrated embodiment of the invention, the
`equaliser/demodulator stage 46 may be so designed that
`separate de rotation of the bit streams is unnecessary with the
`result that the bitstreams are decimated and supplied direct
`to the stage 46.
`FIG. 7 illustrates the cross coupled, continuous time, low
`pass Sigma-Delta modulators 30 implemented using op-amp
`filters OPl, OP2, OP3 and OP4. The filters are of similar
`construction and in the interests of brevity the filter OPl will
`be described in detail. An op-amp 100 has one input 102
`connected to ground. A resistor 103 is connected to a second
`input 104 of the op-amp. A feedback capacitor 108 is
`25 coupled between an output 106 of the op-amp 100 and the
`second input 104.
`Op-amp filters OP3 and OP4 are shown cross coupled.
`This is effected by the output 106 of the op-amp of the filter
`OP3 being coupled to the second input 104 of the op-amp of
`30 the filter OP4 by serially connected inverting amplifier 110
`and resistor 112. A resistor 114 couples the output 106 of the
`op-amp of the filter OP4 to the second input of the op-amp
`of the filter OP3.
`The operation of the cross coupled Sigma-Delta modula(cid:173)
`tor 30 is the same as described with reference to FIG. 2 and
`in the interests of brevity, the description will not be
`repeated.
`FIG. 8 illustrates a second embodiment of a low IF
`receiver in which the products of mixing in the quadrature
`related mixers 20, 21 are applied to an analogue polyphase
`filter 86 having a measure of automatic gain control (age)
`provided by adjustable gain amplifiers 88, 89. The
`polyphase filter 86 is able to block unwanted image signals
`but pass the wanted signals. The cross coupling in the
`Sigma-Delta modulator 30 using gyrators, as shown in FIG.
`2 or resistors, as shown in FIG. 7, increases the dynamic
`range of the converter. In this embodiment the sampling
`frequency of the ADC is 6.5 MHz and as a consequence
`decimation factors for the decimators 32, 34 and 42, 44 are
`say 3 and 8, respectively, but other combinations of factors
`are possible. The circuit illustrated in FIG. 8 is otherwise
`similar to that shown in FIG. 1 and in the interests of brevity
`will not be described again.
`FIG. 9 illustrates a third embodiment of the present
`invention in which the receiver is configured and operated as
`a zero IF receiver. In this embodiment the local oscillator 22
`provides quadrature related local oscillator signals at the
`nominal carrier frequency of the received signal and the
`products of mixing are applied to low pass filters 90, 91 to
`select the zero IF I and Q signals.
`By the Sigma-Delta modulators being cross coupled it is
`possible to realise the desired filtering characteristic without
`having to provide resonators in the feedback paths from the
`ADCs 74, 76 (FIG. 2), such resonators normally being
`difficult to realise in practice.
`The circuit illustrated in FIG. 9 is otherwise similar to that
`shown in FIG. 1 and in the interests of brevity will not be
`described again.
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`When implementing the receivers shown in FIGS. 1, 8
`and 9, the blocks up to and including the Sigma Delta
`modulators are fabricated in a high frequency analogue
`process thereby maintaining a high linearity and low noise.
`The first and second decimation stages and the derotation 5
`stages are best done in hardware fabricated in a digital
`CMOS process.
`Mismatches between the transfer functions of the I and Q
`signal paths will generally be as a result of processing
`variations in the fabrication of analogue parts of the receiver.
`However the effects of mismatches are reduced by using an 10
`IF which is less than the width of the channel or channel
`spacing such that the image channel is an adjacent channel
`with its lower interference immunity requirement.
`In the present specification and claims the word "a" or
`"an" preceding an element does not exclude the presence of 15
`a plurality of such elements. Further, the word "comprising"
`does not exclude the presence of other elements or steps than
`those listed.
`From reading the present disclosure, other modifications
`will be apparent to persons skilled in the art. Such modifi(cid:173)
`cations may involve other features which are already known
`in the design, manufacture and use of receivers and com(cid:173)
`ponent parts therefor and which may be used instead of or
`in addition to features already described herein.
`What is claimed is:
`1. A receiver comprising an input, first and second quadra(cid:173)
`ture related frequency translation stages coupled to the
`input, first and second continuous time, low pass Sigma(cid:173)
`Delta modulators coupled to the first and second frequency
`translation stages, respectively, for producing oversampled
`digital signals, the first and second Sigma-Delta modulators
`having a low frequency bandpass response, means for
`demodulating the digitised outputs, and means for altering
`the bit rate of the oversampled signals to a rate required by
`the demodulating means, the bit rate altering means com(cid:173)
`prising first decimating means coupled to outputs of the first
`and second Sigma-Delta modulators, derotation means 35
`coupled to the first decimating means, and second decimat(cid:173)
`ing means coupled to the signal derotation means, wherein
`the first and second Sigma-Delta modulators each comprise
`a corresponding plurality of N serially connected
`integrators, where N is an integer having a value of at least
`2, and wherein the second to Nth integrators of the first 40
`Sigma-Delta modulator are cross-coupled with the corre(cid:173)
`sponding integrator of the second Sigma-Delta modulator.
`2. A receiver as claimed in claim 1, wherein the first
`decimating means are cross-coupled.
`3. A receiver as claimed in claim 1, wherein the derotation 45
`means is adapted to provide a digital word representative of
`a substantially pure sine wave.
`4. A receiver as claimed in claim 1, wherein the first and
`second frequency translation stages are low IF stages.
`5. A receiver as claimed in claim 4, wherein a pre-filter 50
`couples a respective output of each of the first and second
`frequency translation stages to a respective one of the first
`and second Sigma-Delta modulators.
`6. A receiver as claimed in claim 5, furthe