CN107710623A - Interpolation in nonuniform sampling analog-digital converter - Google Patents

Interpolation in nonuniform sampling analog-digital converter Download PDF

Info

Publication number
CN107710623A
CN107710623A CN201680035099.6A CN201680035099A CN107710623A CN 107710623 A CN107710623 A CN 107710623A CN 201680035099 A CN201680035099 A CN 201680035099A CN 107710623 A CN107710623 A CN 107710623A
Authority
CN
China
Prior art keywords
signal
analog
amplitude
mixed
supplement
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Pending
Application number
CN201680035099.6A
Other languages
Chinese (zh)
Inventor
马克·里什
迈克尔·彼得·麦克
布赖恩·卡钦斯基
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Google LLC
Original Assignee
Google LLC
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Google LLC filed Critical Google LLC
Publication of CN107710623A publication Critical patent/CN107710623A/en
Pending legal-status Critical Current

Links

Classifications

    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03MCODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M1/00Analogue/digital conversion; Digital/analogue conversion
    • H03M1/06Continuously compensating for, or preventing, undesired influence of physical parameters
    • H03M1/0617Continuously compensating for, or preventing, undesired influence of physical parameters characterised by the use of methods or means not specific to a particular type of detrimental influence
    • H03M1/0634Continuously compensating for, or preventing, undesired influence of physical parameters characterised by the use of methods or means not specific to a particular type of detrimental influence by averaging out the errors, e.g. using sliding scale
    • H03M1/0636Continuously compensating for, or preventing, undesired influence of physical parameters characterised by the use of methods or means not specific to a particular type of detrimental influence by averaging out the errors, e.g. using sliding scale in the amplitude domain
    • H03M1/0639Continuously compensating for, or preventing, undesired influence of physical parameters characterised by the use of methods or means not specific to a particular type of detrimental influence by averaging out the errors, e.g. using sliding scale in the amplitude domain using dither, e.g. using triangular or sawtooth waveforms
    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03MCODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M1/00Analogue/digital conversion; Digital/analogue conversion
    • H03M1/12Analogue/digital converters
    • H03M1/124Sampling or signal conditioning arrangements specially adapted for A/D converters
    • H03M1/1245Details of sampling arrangements or methods
    • H03M1/1265Non-uniform sampling

Abstract

A kind of radio-frequency transmitter includes the antenna for receiving the analog signal of the coding information comprising modulation.Analog signal maker generation supplement analog signal, the supplement analog signal are characterised by that amplitude is enough to trigger the voltage threshold in nonuniform sampling analog-digital converter.Blender mixes received signal and supplementary signal.Nonuniform sampling analog-digital converter receives mixed signal and produces signal nonuniform sampling { amplitude, the time } tuple sequence for representing mixed.Converter removes supplementary signal from { amplitude, the time } tuple sequence, to produce nonuniform sampling { amplitude, the time } tuple sequence for representing the mixed signal without supplementary signal.{ amplitude, time } tuple sequence of the converter interpolation nonuniform sampling, to form the sample sequence for the time cycle property for representing analog input signal.Digital signal processor (DSP) demodulation interpolation series and from the serial decoded digital information demodulated.

Description

Interpolation in nonuniform sampling analog-digital converter
The cross reference of related application
This application claims what is submitted within 29th in September in 2015, the entitled " interpolation in nonuniform sampling analog-digital converter (Interpolation In Non-Uniform Sampling Analog-To-Digital Converters) " U.S. faces When apply for No.62/234,625 priority, entire contents are expressly incorporated herein by reference.
Technical field
Presently disclosed technology be related to a kind of system for being used for nonuniform sampling (NUS) analog-digital converter (ADC), method, And computer program product.Example embodiment is related to a kind of number for being used to determine in the NUS ADC of digital RF (RF) receiver The interpolation that the time-domain digital of word amplitude domain information represents.
Background technology
Fig. 1 presents the simplified block diagram of conventional numerical heterodyne RF receivers 100.The nothing that will be received by this receiver 100 Line signal of communication 90 can be characterized as including three components:Signal 92 interested (is referred to as " it is expected letter in Fig. 1 Number "), interference 94 and noise 96.Signal of interest 92 is generally included via emitter (not shown) coding, modulation and upper change Frequency is the information of the carrier signal in RF frequency bands.
Generally, carrier signal is the waveform at higher more frequencies compared with baseband modulation coding information, and the carrier wave is believed Number it can be mixed with baseband modulation coding information using by transmitting information as the space of electromagnetic wave, or to allow at different frequency Some carrier signals common physical transmission medium is shared by frequency division multiplexing.Some type of RF communication, for example, spread spectrum and OFDM (OFDM) is without using conventional sinusoidal carrier.
Interference 94 can come from one or more artificial RF sources.Inventionbroadly, arrowband interference usually from such as radio, The expectation transmission of TV and mobile telephone system, and broadband interference is typically unexpected, and derive from and be such as not intended to The source of the power transmission lines of emitter.
Noise 96 refers to all other RF components of the energy in signal 90, wherein, (it is coupled to RF paths for example, coming from Noisy power) noise of receiver in itself is probably fundamental component in RF scopes.
In this receiver 100, signal 90 can be received by antenna system 110.Generally, antenna system 110 is configured For compared with the frequency outside the scope in response to signal 92 interested, more in response to the broadband frequency around carrier frequency Rate, such as the whole commercial frequency comprising many individually FM channels modulate (FM) broadcast band.
Signal Regulation subsystem 120 is normally used for reducing in letter interested by application RF wave filters 122 first The noise 96 received and interference 94 outside numbers 92 frequency band limit noise and interference.Then, such as by using low noise Acoustic amplifier/variable gain amplifier (LNA/VGA) 124 amplifies filtered signal.
After the noise in reducing Signal Regulation subsystem 120 and interference, conventional heterodyne reciver 100 will remove Carrier wave, the encoded signal of the modulation from RF scopes is effectively introduced into, wherein, what is be more prone to is apart from upper downward by signal It is sent to base band.In the case of simple sinusoidal carrier signal, blender 140 by the output of Signal Regulation subsystem 120 and Local oscillator (LO) 130 mixes, and the local oscillator (LO) 130 matches carrier signal using blender 140 and carried with removing Ripple signal.
In the digital receiver of such as conventional heterodyne reciver 100, the output of blender 140 keeps analog signal. Analog-digital converter (ADC) 150 can be used in the analog signal from blender 140 being converted to data signal.Conventional ADC samplings Generally contiguous analog input signal;In the case of conventional heterodyne reciver 100, it is that the baseband version of Regulate signal 90 adds Any noise that upper signal 90 has picked up by this way.Conventional ADC real-time sampling analog signals, cause in sample frequency Every integral multiple at replica signal energy.
The content of the invention
The embodiment of presently disclosed technology provides the system for analog-to-digital conversion, method and computer program product. In such method, embodiment can receive analog input signal and generate supplement analog signal.The supplement simulation letter Number it is characterised by that amplitude is enough to trigger each voltage threshold in nonuniform sampling (NUS) analog-digital converter (ADC).Blender The analog input signal received and the supplement generated analog signal can be mixed.NUS ADC can change mixed Analog signal, produce { amplitude, the time } tuple sequence for representing mixed signal.The embodiment can be mixed letter from representing Number { amplitude, the time } tuple sequence in remove the supplementary signal, retain the canonical amplitude interval of the input signal Numeral represents.The canonical amplitude interval numeral that the embodiment is capable of interpolation input signal represents, to form representative simulation input letter Number temporal periodic sample sequence.In certain embodiments, by estimating two near each periodic point in time It is secondary to be fitted to perform interpolation.
These and other aspects, the objects, features and advantages of example embodiment will be implemented according in view of examples shown Example it is described in detail below, it is apparent to those of ordinary skill in the art.
Brief description of the drawings
Fig. 1 is the block diagram of the conventional heterodyne RF receivers of diagram.
Fig. 2 is the block diagram for illustrating nonuniform sampling (NUS) ADC.
Fig. 3 is presented by the time-domain diagram and frequency domain figure of the NUS ADC simple recept signals sampled.
Fig. 4 is depicted according to some example embodiments using supplementary signal to increase by the quantity of the ADC samplings obtained NUS ADC block diagram.
Fig. 5 is the exemplary method that the quantity for increasing the sampling in NUS ADC is depicted according to some example embodiments Block diagram flow chart.
Fig. 6 is to be believed according to some example embodiments using the 700mVp supplements 1) without supplementary signal, 2) centered on 2MHz Number, and 3) the 700mVp supplementary signals centered on 32MHz, the relative power spectral density of the conversion signal centered on 1MHz Curve map.
Fig. 7 presents shows that the sense of neighbouring block signal and supplementary signal (dither) is emerging according to some example embodiments The frequency curve figure (right side) of radio frequency (RF) frequency spectrum across 200MHz of the signal of interest, and the preceding 8MHz of the RF spectrum of the figure Frequency curve figure (left side) and the ratio of 0 rank (ZOH), single order (1-O) and second order (2-O) solution.
Fig. 8 is depicted according to some example embodiments using supplementary signal to increase by the quantity of the ADC samplings obtained NUS ADC block diagram.
Fig. 9 presents the Fig. 7 for the characteristic that frequency overlapped-resistable filter is identified according to some example embodiments frequency curve figure.
The time domain that Figure 10 presents the nonuniform sampling of the NUS ADC from Fig. 8 according to specific example embodiment is bent Line chart (left side), and the histogram of the interval quantity of the NUS ADC from Fig. 8 and the quantity of nonuniform sampling, in these samplings Each input signal for using Fig. 7.
The time domain that Figure 11 presents the nonuniform sampling of the NUS ADC from Fig. 8 according to specific example embodiment is bent Line chart (left side), and the histogram of the interval quantity of the NUS ADC from Fig. 8 and the quantity of nonuniform sampling, in these samplings Each input signal for using Fig. 7.
When Figure 12 is presented according to the quantity at the interval of some example embodiments with minimum (left side) and lasting maximum (right side) Between 16 sampling first in first out (FIFO) buffers histogram.
Figure 13 is presented according to some example embodiments, during for non-homogeneous { amplitude, time } tuple sequence to be converted to Between upper uniform { amplitude, time } tuple sequence basic interpolation option summary.
Figure 14 presents shows what supplementary signal (dither) before interpolation eliminated according to some example embodiments The time of effect and amplitude image.
Figure 15 presents time and the amplitude curve figure that interpolation attribute is shown according to some example embodiments.
Figure 16 is presented across showing the signal of interest changed according to some example embodiments near block signal The frequency curve figure (left side) of 10MHz radio frequency (RF) frequency spectrum, and if according to interpolation of some example embodiments for dry type In each computation complexity with estimation the interior signal to noise ratio of band (SNR) abstract curve map.
If Figure 17 presents each neighbouring obstruction letter in the interpolation that pair dry type is shown according to some example embodiments Number and supplementary signal (dither) signal interested radio frequency (RF) frequency spectrum across 200MHz frequency curve figure.
Figure 18 presents to be handled according to the order two estimation of some example embodiments.
Figure 19 is to depict computing machine and the block diagram of module according to some example embodiments.
Embodiment
General introduction
Nonuniform sampling (NUS) ADC measures input signal at it across the time of some amplitude thresholds, thus sample amplitudes Upper uniform analog signal.Use as the NUS ADC of converter 150 can improve the dynamic range of communication control processor.Turn The accuracy for changing process is the function of the uncertainty on time and amplitude in measurement.Conventional ADC is surveyed at the specific time Measure amplitude.Non-homogeneous ADC sample amplitudes and time of measuring, and can allow for the uncertainty of individually control measurement.In addition, survey The amount time causes the irregular sequence of measurement.Lacking regularity reduces noise and is mixed into signal indirectly, otherwise referred to as aliasing (aliasing)。
With reference to figure 2, notional NUS ADC 200 are shown.In Fig. 2 NUS ADC, simulation input 210 is with mixing The output of device 140 is corresponding.The expected range of input voltage is that 0VDC is extremely more than V14.By using resistor R, establish uniform The reference voltage V0-V14 at interval.When input voltage 210 is in 0VDC and during more than changing between V14 voltage, the institute of comparator 220 The output of collection will indicate the voltage.When each comparator 220 changes state, transformation triggering block 230 can prompt coding to change Frame 240 come record that comparator output indication analog input voltage 210 exceed for the comparator 220 reference voltage.Together When, transformation triggering frame 230 can prompt time digital quantizer frame 250 to record the time of the transformation, be normally stored down to 10ps It is or smaller.In a word, each amplitude 260 and the tuple of time 270 { amplitude, time } represent one in sample sequence.The series Sampling can be interpolated, to produce the sample sequence of interpolation, the sample sequence of the interpolation and then can be by Digital Signal Processing Device 160 is handled to demodulate changed signal and the information is decoded from the signal demodulated.
When input signal amplitude low (causing less amplitude information), or when signal slowly becomes between amplitude threshold When changing (causing long period not have amplitude information), NUS ADC are damaged.With reference to figure 3, the tonal signal at frequency f1 is shown The example 300 of 302 nonuniform sampling.Frequency curve Figure 32 0 shows frequency for the signal 302 at f1.In time-domain curve Figure 31 0 In, in the region of peak swing 312, the time between sampling is t1-t0.In the region of minimum amplitude 314, between sampling Time be t3-t2.It can be seen that t3-t2 and t1-t0 are to differ, and each of which is more than between sampling Equispaced.The non-uniform results cause the information content in sampled signal to reduce.
In some embodiments as described herein, by the known supplementary signal locally generated together with signal interested It is incorporated into NUS ADC.The supplementary signal locally generated can be configured such that control amplitude threshold crossing-over rate and amplitude range. Because supplementary signal is locally generated, so supplementary signal can remove after sampling process from data signal.Use this The supplementary signal of ground generation is compared with the other method for improving sampling system performance, such as two step converters, and it is less Increase the complexity of sampling system.
In two-step method, whenever too long of time interval between sample event be present, second level NUS ADC are switched on.When When the signal amplitude of Shortcomings or the too low rate of change of signal, this situation will occur.If for example, it have modified signal 302 so that peak to peak amplitude is less than two amplitude intervals, then NUS will only measure two zero crossings (event) in each cycle-with " insufficient amplitude " is corresponding.If flatly stretch signal, the identical quantity of sampling as shown will be obtained, but will Reduce the average time between these points (rate of change is too slow).Two step NUS ADC methods double the complexity of single-stage converter It is more, but show to improve performance.Both supplementary signal and two-step method depend on bottom nonuniform sampling process, and energy Enough it is used together.
In the exemplary embodiment, the equipment associated with technology presented herein and any other computing machine can be Any kind of computing machine of those such as, but not limited to discussed in more detail with reference to figure 19.In addition, with these computers Any one associated any function in device, using or module, it is all as those described herein or with it is presented herein Technology associated any other (such as script, web content, software, firmware or hardware) can be more detailed by reference to Figure 19 The module carefully discussed it is any.Computing machine described herein can on one or more networks mutually and with it is other Computing machine or communication system communication.Network can include any kind of data or communication network, including be discussed with reference to figure 19 Network technology in it is any.
Turning now to remaining accompanying drawing, example embodiment is more fully described, wherein being indicated through accompanying drawing identical numeral The element of similar (but not necessarily identical).
Example system architecture
With reference to figure 4, and the numeral to context with continued reference to figure above, show according to some example embodiments, Diagram is using supplementary signal come the block diagram of the NUS ADC components 400 of the quantity of sampling that has increased access to.In the example of fig. 4, mould It is to include in-phase component I 422 (being also known as composite signal " real number " component) and quadrature component Q 424 to intend input signal 420 The composite signal of (also referred to as " imaginary number " component of composite signal).Analog input signal 420 and the heterodyne RF receivers by Fig. 1 The baseband modulation signal that 100 blender 140 exports is corresponding.
Each processing channel of I channel (top) and Q channel (middle part) includes Signal Regulation frame, the RX for I channel The IFILTERT 432 and RX QFILTER 434 for Q channel.It is every in RX IFILTER 432 and RX QFILTER 434 Signal Regulation is performed to reduce in a manner of the RF wave filters 122 and LNA/VGA 124 of the individual conventional heterodyne reciver 100 by Fig. 1 The noise of input signal 420 and interference.The stage is optional.
As described in the NUS ADC 200 with reference to Fig. 2, each processing channel of I channel and Q channel, which includes producing, { to shake Width, time } tuple sequence NUS digital analog converters (DAC) 460, INUS ADC 442 and QNUS ADC 444.Sum to be sampled Each component of the analog input signal of word processing includes expression signal 92 interested, supplementary signal, interference signal 94 and made an uproar The component of sound 96, wherein, level of total power can change 70dB.
With reference to Fig. 5 block diagram flow chart, description supplementary signal control 450, NUS DAC 460, blender 472 and 474, with And supplementary signal removes and the effect of interpolation 482,484.
Example process
With reference to figure 5, and for context, with continued reference to previous figure, show and described according to some example embodiments The block diagram flow chart of the exemplary method for the increased sampling being used in NUS ADC.In such method, simulation can be received Input signal-frame 510.As continuing example, it is contemplated that similar to radio frequency (RF) receiver for the receiver 100 described in Fig. 1, And the NUS ADC components 400 including Fig. 4.Receiver 100, which receives, includes noise 96,1MHz centre frequency (bases interested Band) signal 92 and disturb 94 signal 90.The Regulate signal 90 of receiver 100 will be adjusted with reducing noise and jamming power Signal down-convert to base band, produce simulation input 420.Although Fig. 1 RF receivers 100 are used herein to continue to show Example, but not all embodiments of this technology are required for use in RF receivers.
The technology can produce supplement analog signal, it is characterised in that amplitude is enough to trigger nonuniform sampling analog-digital converter In each voltage threshold-frame 520.In the example of continuation, the NUS ADC400 generation of supplementary signal control 450 is with 2MHz's The digital version of 700mVp tones, and NUS analog-digital converters (DAC) 460 are converted to digital supplementary signal with I and Q points The compound supplement analog signal of amount.In the example of continuation, the 700mVp amplitudes for supplementing analog signal are chosen so as to trigger INUS ADC 442 and QNUS ADC 444 it is each in comparator, it means that supplement analog signal each cycle in will touch All comparators in sending out ADC each.The time between trigger event can be selected to sample as much as possible on interested Signal 92 information.The structure (such as pure tone, frequency sweep, triangle) of selection supplement analog signal waveform is to simplify in interpolater Extraction.
Selection can allow for simply filtering for removing with the supplementary signal on frequency interested.It is local Generate signal and known facts can allow for it to be subtracted.It can allow for using triangular wave supplementary signal to be calibrated each The response of comparator.
The technology can mix received analog input signal and the supplement analog signal-frame 530 generated.Continuing Example in, blender 472 and 474 distinguishes the I and Q component of hybrid analog-digital simulation input signal 420.
Nonuniform sampling analog-digital converter can change mixed analog signal, produce the analog signal for representing mixed { amplitude, time } tuple sequence-frame 540.In the example of continuation, each INUS ADC 442 and QNUS ADC 444 distinguish The I and Q component of the mixed signal of conversion, represent that the I of analog input signal 420 and the I of Q component and Q { shake to produce respectively Width, time } tuple.
Then, each supplementary signal removes and interior interpolation frame 482,484 divides from the I and Q for representing analog input signal 420 respectively Supplementary signal is removed in I and Q { amplitude, time } tuple of amount, to produce the periodicity in amplitude and represent letter interested Number 92 I and the same phase of Q component and orthogonal sample sequence-frame 550.Remove can by the structure based on supplementary signal, shake The filtering of width and frequency or subtraction are realized.It can also remove in each supplementary signal and be mixed with interior interpolation frame 482,484 using anti- Folded wave filter.
The technology can feel emerging to periodic described { amplitude, time } tuple sequence interpolation on amplitude to be formed to represent Temporal periodically sample sequence-frame 560 of interesting signal.In the example of continuation, each interpolation supplementary signal removes frame 482nd, 484 respectively to I and Q { amplitude, time } tuple interpolation, with the periodicity in generation time and represents mixed signal Same phase and orthogonal sample sequence.The technology can be exported with the interpolation series for removing supplementary signal, as simulation input Digital conversion-frame 570 of signal.
With reference to figure 6, and for context, with continued reference to previous figure, show according to some example embodiments, using 1) 700mVp supplementary signals without supplementary signal, 2) centered on 2MHz, and 3) the 700mVp supplement letters centered on 32MHz Number, the curve map of the relative power spectral density of the conversion signal centered on 1MHz.In figure 6, solid line represents " no supplementary signal " Situation.Signal to noise ratio (SNR) for " no supplementary signal " situation is about 35dB/Hz.By the 700mVp centered on 2MHz In the case that supplementary signal is added to the conversion signal centered on 1MHz, SNR brings up to about 60dB/Hz, and wherein signal is spuious Than being about 50dB/Hz.In a third case, the supplementary signal centered on 32MHz gives optimal SNR (about 70dB/Hz) It is spuious than (about 55dB/Hz) with signal, while also create the optimum frequency interval between supplementary signal and signal of interest.
With reference to figure 7- Figure 18, and for context, with continued reference to previous figure, according to example embodiment, show use { amplitude, time } tuple sequence of the nonuniform sampling of the mixed signal without supplementary signal is represented in interpolation, with shape Into the method for the temporal periodically sample sequence for representing analog input signal.Although in Fig. 7-Figure 18 example embodiment In, supplementary signal is eliminated before interpolation, but can also put into practice the embodiment for removing supplementary signal after interpolation.
In such embodiments, M2QE is based on the non-homogeneous observation value interpolation by one group to following polynomial expansion Count effective method in:k0+k1t+k2t^2.Classical way for polynomial interpolation is performed most using system of linear equations Small square (LS) or lowest mean square (LMS) estimation error, with determine in best fit sequence multinomial a little.It can make With the multinomial of any order.The computation complexity of LS methods and the first order matrix more than polynomial exponent number it is reciprocal into than Example.
M2QE methods are anchored into the multinomial closest to the observation for it is expected interpolation time (k0, t0) to simplify by estimation Estimation procedure.In such embodiments, there is maximum influence to interpolation results closest to the point for it is expected interpolation time.Pass through Single order Polynomial Terms are calculated in the linear interpolation of the observed value of the either side of desired interpolation time (k1).To all observations The value of Linear Estimation is calculated, and the value of the Linear Estimation is used to measure the second order error (k2) at each observation time, without It is the closest approach on the either side for it is expected interpolation time.For each non-homogeneous observation x at t (nx) place, second order error is equal to Observation (x) subtracts (k0+k1*t), i.e. linear estimate.Therefore, the quadratic polynomial coefficient (k2, t) each estimated is independent Second order error divided by t^2.
Any amount of estimated quadratic polynomial coefficient can be used, and (wherein, the quantity of estimation is than non-homogeneous observation Quantity it is small 2).The quadratic polynomial coefficient each estimated facilitates compound quadratic polynomial (k2) in some way.In some realities Apply in example, uniform weighted average can be used, but can also strengthen using weighted average closest to when it is expected interpolation Between observed value contribution.
Estimate k3 multinomial coefficients by recursively applying the coefficient estimation technique, also demonstrate three rank interpolations.
The correction to k1 coefficients is also demonstrated to be better balanced in the coefficient before observation and after observing time be K2 between number, t coefficient.
Then, can be by Polynomial Terms use in multiple interpolating methods.In certain embodiments, in desired interpolation Between place assess multinomial.In certain embodiments, assessed at expected time and some evenly spaced future times multinomial Formula.This method uses the future value of the previous uniformly value, interpolation currency and estimation that are calculated to be used as the defeated of FIR filter Enter, interpolation is combined with by effective filtering smoothly provided of Polynomial Estimation process compared to more complicated filtering.
Other examples embodiment
Figure 19 illustrates the computing machine 2000 and module 2050 according to some example embodiments.Computing machine 2000 can be with It is any corresponding in various computers presented herein, server, mobile device, embedded system or computing system.Mould Block 2050, which can include, to be configured to promote computing machine 2000 to perform the one of various methods and processing function presented herein Individual or multiple hardware or software element.Computing machine 2000 can include various intrawares or attachment assembly, such as processor 2010th, system bus 2020, system storage 2030, storage medium 2040, input/output interface 2060 and it is used for and network The network interface 2070 of 2080 communications.
Computing machine 2000 may be implemented as conventional computer system, embedded controller, laptop computer, clothes Be engaged in device, mobile device, smart phone, set top box, information kiosk, Vehicle Information System, it is associated with TV it is one or more at Manage device, custom machine, any other hardware platform or its any combinations or MULTIPLE COMPOSITE (multiplicity).Computing machine 2000 can be configured as using the multiple computing machines interconnected via data network or bus system the distribution worked Formula system.
Processor 2010 can be configured as performing code or instruction to perform operation described herein and function, management Request stream and address of cache and execution calculate and generation order.Processor 2010 can be configured as monitoring and controlling meter Calculate the operation of the component in machine 2000.Processor 2010 can be general processor, processor core, multi-processor, can weigh Configuration processor, microcontroller, digital signal processor (" DSP "), application specific integrated circuit (" ASIC "), graphics processing unit (" GPU "), field programmable gate array (" FPGA "), programmable logic device (" PLD "), controller, state machine, gate logic Part, discrete hardware components, any other processing unit or its any combinations or MULTIPLE COMPOSITE.Processor 2010 can be single Processing unit, multiple processing units, single process cores, multiple process cores, dedicated processes core, coprocessor or its any group Close.According to some embodiments, processor 2010 can be in one or more together with other components of computing machine 2000 The Virtualization Computer device performed in other computing machines.
System storage 2030 can include nonvolatile memory, all if applying electric power or not applying electric power In the case of storage program instruction or the read-only storages (" ROM ") of data, programmable read only memory (" PROM "), it is erasable can Program read-only memory (" EPROM "), flash memory or any other equipment.System storage 2030 can also include Volatile memory, such as random access memory (" RAM "), static RAM (" SRAM "), dynamic random are deposited Access to memory (" DRAM ") and Synchronous Dynamic Random Access Memory (" SDRAM ").Other types of RAM may be utilized for Realize system storage 2030.System storage can be realized using single memory module or multiple memory modules 2030.Although system storage 2030 be depicted as be computing machine 2000 part, those skilled in the art will realize Arrive, system storage 2030 can separate with computing machine 2000 in the case of the scope without departing from this subject technology.Should also Work as understanding, system storage 2030 can include such as non-volatile memory device of storage medium 2040 or combine non-volatile Storage device operates.
Storage medium 2040 can include hard disk, floppy disk, compact disk read-only storage (" CD-ROM "), digital multi light Disk (" DVD "), Blu-ray disc, tape, flash memory, other non-volatile memory devices, solid-state drive (" SSD "), appoint It is what magnetic storage apparatus, any light storage device, any storage device electric, any semiconductor memory apparatus, any based on physics Storage device, any other data storage device or its any combinations or MULTIPLE COMPOSITE.Storage medium 2040 can store one Or multiple operating systems, such as application program of module 2050 and program module, data or any other information.Storage medium 2040 can be a part for computing machine 2000 or may be connected to computing machine 2000.Storage medium 2040 can be with It is the part of the one or more of the other computing machine to be communicated with computing machine 2000, other computing machines such as service Device, database server, cloud storage, network attached storage etc..
Module 2050 can include being configured as promoting computing machine 2000 to perform various methods presented herein and place Manage the one or more hardware or software element of function.Module 2050 can include one or more sequences of instruction, and it is deposited Store up as the software or firmware associated or associated with both with system storage 2030, storage medium 2040.Therefore, store Medium 2040 can represent that machine or the computer-readable Jie of the instruction performed for processor 2010 or code can be stored thereon The example of matter.Machine or computer-readable medium generally may refer to any medium for providing instructions to processor 2010 Or medium (media) (medium).This machine or computer-readable medium associated with module 2050 can be included and calculated Machine software product.It should be appreciated that the computer software product including module 2050 can also be with being used for module 2050 The one of computing machine 2000 is delivered to via network 2080, any signal bearing medium or any other communication or delivery technique Individual or multiple processes or method are associated.Module 2050 can also include hardware circuit or the information for configuring hardware circuit, Microcode or configuration information such as FPGA or other PLD.
Input/output (" I/O ") interface 2060 can be configured to coupled to one or more external equipments, from one or Multiple outer equipment receiving datas and to transmit data to one or more external equipments.This external equipment is together with each Kind internal unit is also referred to as ancillary equipment together.I/O interfaces 2060 can include be used for can by various ancillary equipment It is operatively coupled to both electrical connection and physical connections of computing machine 2000 or processor 2010.I/O interfaces 2060 can be by It is configured to communication data, address and control signal between ancillary equipment, computing machine 2000 or processor 2010.I/O connects Mouth 2060 can be configured as realizing any standard interface, such as small computer system interface (" SCSI "), serial attached SCSI (" SAS "), fiber channel, periphery component interconnection (" PCI "), PCI express (PCIe), universal serial bus, parallel bus, Advanced Technology Attachment (" ATA "), serial ATA (" SATA "), USB (" USB "), thunder and lightning, live wire, various videos are total Line etc..I/O interfaces 2060 can be configured as only realizing an interface or bussing technique.Alternatively, I/O interfaces 2060 can be with It is configured as realizing multiple interfaces or bussing technique.I/O interfaces 2060 can be configured as the part of system bus 2020, its is complete Portion, or be configured as being combined to operate with the system bus 2020.I/O interfaces 2060 can include being used to buffer one or more One or more buffers of transmission between individual external equipment, internal unit, computing machine 2000 or processor 2010.
Computing machine 2000 can be coupled to various input equipments by I/O interfaces 2060, and it includes:Mouse, touch-screen, sweep Retouch instrument, electronic digitizer, sensor, receiver, touch pad, trace ball, camera, microphone, keyboard, any other pointer Equipment or its any combinations.Computing machine 2000 can be coupled to various output equipments by I/O interfaces 2060, and it includes regarding Frequency display, loudspeaker, printer, projecting apparatus, haptic feedback devices, automatically control, robot assembly, actuator, motor, wind Fan, solenoid, valve, pump, conveyer, signal transmitter, lamp etc..
Computing machine 2000 can use by the across a network 2080 of network interface 2070 to one or more of the other system or The logic connector of computing machine, is operated in networked environment.Network 2080 can include wide area network (WAN), LAN (LAN), Intranet, internet, wireless access network, cable network, mobile network, telephone network, optical-fiber network or its combination.Net Network 2080 can be any topological packet switch, circuit switching, and can use any communication protocol.In network 2080 Communication link can be related to various numerals or analogue communication medium, such as optical fiber cable, free-space optical systems, waveguide, conduction Body, Radio Link, antenna, radio communication etc..
Processor 2010 can be connected to by various ancillary equipment described herein or calculating by system bus 2020 Other elements of machine 2000.It should be appreciated that system bus 2020 may be in processor 2010, in processor 2010 it is outer or the two.According to some embodiments, processor 2010, other elements or described herein of computing machine 2000 Various ancillary equipment in it is any can be integrated into individual equipment, system such as on on-chip system (" SOC "), encapsulation (" SOP ") or ASIC device.
Wherein systematic collection discussed here on user personal information or can utilize personal information situation Under, it can provide a user and have an opportunity or whether option collects user profile (for example, on user's with control program or feature The current location of the information of social networks, social action or activity, the professional, preference of user or user), or control whether And/or how from content server receive may be more relevant with user content.In addition, some data are before storage or use It may be handled in one or more ways so that remove personally identifiable information.For example, the identity of user can be carried out Processing so that can not be that user determines personal recognizable information, or obtain positional information (such as city, postcode Or state level) in the case of can be by the geographical position generalization of user so that the ad-hoc location of user can not be determined.Cause This, user can have to how to collect on user information and how the control used by content server.
Embodiment can include the computer program for implementing described herein and diagram function, wherein, including machine The instruction that is stored in computer-readable recording medium and perform these instructions processors computer system in realize the computer program.So And, it should be appreciated that there may be with computer programming to realize many different modes of embodiment, and these embodiments It should not be construed as limited to any one set of computer program instructions.In addition, skilled programmer can be based on this Application appended flow chart herein writes this computer program to realize in disclosed embodiment with associated description Embodiment.Therefore, the disclosure of the specific collection of code instructions is not construed as to how to manufacture and using embodiment Fully understand it is necessary.In addition, it will be appreciated by those skilled in the art that one or more of embodiment described herein Individual aspect can be performed by the hardware, software or its combination that can implement in one or more computing systems.In addition, Because more than one computer can perform the action, any reference of the action to being performed by computer should not be solved It is interpreted as being performed by single calculate.
It is capable of to be used together with software with performing the computer hardware of previously described method and processing function and retouches herein The example embodiment stated.System described herein, methods and procedures can be embodied in programmable calculator, computer and can hold In row software or digital circuit.Software can be stored on a computer-readable medium.For example, computer-readable medium can wrap Include floppy disk, RAM, ROM, hard disk, removable medium, flash memory, memory stick, optical medium, magnet-optical medium, CD-ROM etc.. Digital circuit can include integrated circuit, gate array, building block logic (building block logic), field programmable gate Array (FPGA) etc..
Example system, method and action described in previously presented embodiment are illustrative, and in alternative reality Apply in example, in the case of without departing from the scope and spirit of each embodiment, some actions can be with different order, parallel Ground performs, omits completely, and/or some actions are combined between different example embodiments, and/or is able to carry out some additional Action.Therefore, include this alternative embodiment in the scope of following claims, its according to most wide explanation so as to including This alternative embodiment.
Although specific embodiment is described in detail above, the description is merely for illustrative purposes.Therefore, It should be appreciated that unless expressly stated otherwise, otherwise many aspects described above are not intended as expectation or necessary member Part.In the case of the spirit and scope for not departing from the embodiment defined in appended claims, the sheet of the disclosure is benefited from Field those of ordinary skill can make disclosed aspect in addition to those described above, to example embodiment and repair Change, and the equivalent elements corresponding with the disclosed aspect of example embodiment or action, the scope of claims will be most wide Explain so as to cover this modification and equivalent structure free burial ground for the destitute.For example, can be wherein to handle any framework (example of radiofrequency signal Such as, cell phone, Wi-Fi network and other base stations) realize the disclosure technology embodiment.

Claims (18)

1. a kind of computer implemented method for modulus signal conversion, including:
Receive analog input signal;
Generation supplement analog signal, the supplement analog signal are characterised by that amplitude is enough to trigger nonuniform sampling analog-to-digital conversion At least one voltage threshold in device;
The analog input signal received and the supplement analog signal generated are mixed;
By the mixed analog signal of nonuniform sampling analog-digital converter conversion, { shaking for signal mixed by representing is produced Width, time } tuple sequence;
Described in being removed by one or more computing devices from { amplitude, time } tuple sequence described in signal mixed by expression Supplementary signal, to produce nonuniform sampling { amplitude, the time } tuple for representing the mixed signal without the supplementary signal Sequence;And
By one or more of computing devices to representing the described non-equal of the mixed signal without the supplementary signal Even sampling { amplitude, time } tuple sequence carries out interpolation, represents that the time of the analog input signal is upper periodic to be formed Sample sequence;And
The output of interpolation sequence is changed for the numeral of the analog input signal by one or more computing devices.
2. the method for claim 1, wherein the supplement analog signal is tonal signal, triangle sound signal and frequency sweep One in sound signal.
3. method as claimed in claim 1 or 2, wherein:
The analog input signal is plural analog input signal, and
To each in the same phase and quadrature component of the plural analog input signal, mixed, changed in parallel channel, And interpolation.
4. method as claimed any one in claims 1 to 3, wherein, the supplement analog signal is characterised by amplitude foot To trigger each voltage threshold in nonuniform sampling analog-digital converter.
5. a kind of radio-frequency transmitter, including:
Antenna subsystem, the antenna subsystem operate in and analog signal interested are received via communication channel, and the sense is emerging The analog signal of interest includes modulation coding information;
Analog signal maker is supplemented, the supplement analog signal maker operates in generation supplement analog signal, the supplement Analog signal is characterised by that amplitude is enough to trigger at least one voltage threshold in nonuniform sampling analog-digital converter;
Blender, the blender operate in the analog signal interested that will be received and the supplement analog signal mixing;
Nonuniform sampling analog-digital converter, the nonuniform sampling analog-digital converter operate in:
Mixed signal is received,
Produce nonuniform sampling { amplitude, time } tuple sequence of signal mixed by representing;
The supplementary signal is removed from { amplitude, time } tuple sequence described in signal mixed by expression, is represented not with producing Nonuniform sampling { amplitude, time } tuple sequence of mixed signal with the supplementary signal;And
To representing that the nonuniform sampling { amplitude, time } tuple sequence of the mixed signal without the supplementary signal enters Row interpolation, to form the time upper periodic sample sequence for representing the analog input signal;And
Digital signal processor DSP, the digital signal processor DSP operate in demodulation interpolation sequence and the sequence by being demodulated Row decode the digital information.
6. radio-frequency transmitter as claimed in claim 5, wherein, the supplement analog signal is tonal signal, triangle sound signal With one in, frequency sweep sound signal.
7. the radio-frequency transmitter as described in claim 5 or 6, wherein:
The analog input signal is plural analog input signal, and
To each in the same phase and quadrature component of the plural analog input signal, mixed, changed in parallel channel, And interpolation.
8. the radio-frequency transmitter as any one of claim 5 to 7, wherein, the supplement analog signal is characterised by Amplitude is enough to trigger each voltage threshold in nonuniform sampling analog-digital converter.
9. a kind of computer program product, including:
Non-transitory computer readable storage means, the non-transitory computer readable storage means have in the nonvolatile Property computer readable storage means on the computer-executable program instructions implemented, the computer executable instructions are when by calculating When machine performs, the computer is set to perform modulus signal conversion, the computer-executable program instructions include:
For receiving the computer-executable program instructions of analog input signal;
For generating the computer-executable program instructions of supplement analog signal, the supplement analog signal is characterised by amplitude It is enough to trigger at least one voltage threshold in nonuniform sampling analog-digital converter;
Computer executable program for the analog input signal received and the supplement analog signal generated to be mixed refers to Order;
For changing mixed analog signal in the nonuniform sampling analog-digital converter, producing signal mixed by representing The computer-executable program instructions of { amplitude, time } tuple sequence;
For gone from { amplitude, time } tuple sequence described in signal mixed by expression it is described except supplementary signal, to produce table Show that the computer of nonuniform sampling { amplitude, time } tuple sequence of the mixed signal without the supplementary signal can perform Programmed instruction;And
For to representing that nonuniform sampling { amplitude, time } tuple sequence of the mixed signal without the supplementary signal enters Row interpolation, with formed represents the analog input signal time go up periodic sample sequence computer executable program refer to Order.
10. computer program product as claimed in claim 9, wherein, the supplement analog signal is tonal signal, triangle sound One in signal and frequency sweep sound signal.
11. the computer program product as described in claim 9 or 10, wherein:
The analog input signal is plural analog input signal, and
To each of the same phase and quadrature component of the plural analog input signal, mixed in parallel channel, change and Interpolation.
12. the computer program product as any one of claim 9 to 11, wherein, the spy of the supplement analog signal Levy each voltage threshold in being enough to trigger nonuniform sampling analog-digital converter in amplitude.
13. a kind of system for being used to perform modulus signal conversion, including:
Storage device;And
Processor, the processor are communicatively coupled to the storage device, wherein, the computing device is deposited described The application code instructions stored in storage equipment, so that the system:
Receive analog input signal;
Generation supplement analog signal, the supplement analog signal are characterised by that amplitude is enough to trigger nonuniform sampling analog-to-digital conversion At least one voltage threshold in device;
The analog input signal received and the supplement analog signal generated are mixed;
Mixed analog signal is changed in the nonuniform sampling analog-digital converter, produces { shaking for signal mixed by representing Width, time } tuple sequence;
To { amplitude, the time } tuple sequence carry out interpolation, with formed represent mixed by signal time on periodically adopt Sample sequence;And
The supplementary signal is removed from the interpolation sequence.
14. system as claimed in claim 13, wherein, the supplement analog signal be tonal signal, triangle sound signal and, sweep One in frequency sound signal.
15. the system as described in claim 13 or 14, wherein:
The analog input signal is plural analog input signal, and
To each of the same phase and quadrature component of the plural analog input signal, mixed in parallel channel, change and, Interpolation.
16. the system as any one of claim 13 to 15, wherein, generating the supplement analog signal includes:
Complementary digital signal is generated, and
The complementary digital signal is converted into supplement analog signal.
17. system as claimed in claim 16, wherein, removing the supplementary signal includes:By filtering or subtraction process, from { amplitude, time } tuple sequence of the interpolation removes the signal.
18. the system as any one of claim 13 to 17, wherein, the supplement analog signal is characterised by amplitude It is enough to trigger each voltage threshold in nonuniform sampling analog-digital converter.
CN201680035099.6A 2015-09-29 2016-09-22 Interpolation in nonuniform sampling analog-digital converter Pending CN107710623A (en)

Applications Claiming Priority (3)

Application Number Priority Date Filing Date Title
US201562234625P 2015-09-29 2015-09-29
US62/234,625 2015-09-29
PCT/US2016/053197 WO2017058639A1 (en) 2015-09-29 2016-09-22 Interpolation in non-uniform sampling analog-to-digital converters

Publications (1)

Publication Number Publication Date
CN107710623A true CN107710623A (en) 2018-02-16

Family

ID=57043048

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201680035099.6A Pending CN107710623A (en) 2015-09-29 2016-09-22 Interpolation in nonuniform sampling analog-digital converter

Country Status (3)

Country Link
EP (1) EP3357163A1 (en)
CN (1) CN107710623A (en)
WO (1) WO2017058639A1 (en)

Citations (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN107710624A (en) * 2015-09-25 2018-02-16 谷歌有限责任公司 Increase sampling in nonuniform sampling analog-digital converter

Family Cites Families (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US9077360B2 (en) * 2013-03-01 2015-07-07 Texas Instruments Incorporated Extension of ADC dynamic range using post-processing logic

Patent Citations (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN107710624A (en) * 2015-09-25 2018-02-16 谷歌有限责任公司 Increase sampling in nonuniform sampling analog-digital converter

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
TÜNDE WANG等: "A Level-Crossing Analog-to-Digital Converter With Triangular Dither", 《IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I: REGULAR PAPERS 》 *

Also Published As

Publication number Publication date
WO2017058639A1 (en) 2017-04-06
EP3357163A1 (en) 2018-08-08

Similar Documents

Publication Publication Date Title
CN103929141B (en) AGC system for analog-digital converter
CN106560800B (en) The adjustment fixed point Fast Fourier Transform in radar and sonar applications
TW200934187A (en) Sparse sampling of signal innovations
JP6723368B2 (en) Fixed point high dynamic range fast Fourier transform
CN110931035B (en) Audio processing method, device, equipment and storage medium
CN109754815A (en) Systems, devices and methods for unmanned plane audio defeat
US20140009470A1 (en) System, method, and computer program product for calculating settings for a device, utilizing one or more constraints
CN110536216B (en) Equalization parameter matching method and device based on interpolation processing, terminal equipment and storage medium
CN106899296A (en) Frequency domain ADC flash memories are calibrated
CN108513206B (en) Sound system control method and device, terminal equipment and storage medium
TW201032488A (en) A method and an apparatus for forming signal estimates
JP2016529472A5 (en)
CN111863014A (en) Audio processing method and device, electronic equipment and readable storage medium
CN110909480A (en) Denoising method and denoising device for water turbine vibration signal
Handel et al. A calibration scheme for imperfect quantizers
JP2013143441A5 (en) Charged particle beam drawing method, charged particle beam drawing program, and charged particle beam drawing apparatus
CN107710624A (en) Increase sampling in nonuniform sampling analog-digital converter
CN107710623A (en) Interpolation in nonuniform sampling analog-digital converter
Huang et al. A simplified FRI sampling system for pulse streams based on constraint random modulation
CN112152624A (en) Compensation device and method, storage medium and electronic device
CN106569780B (en) Real-time sound effect processing method and system for multi-channel digital audio signal
Silva et al. An achievable data-rate region subject to a stationary performance constraint for LTI plants
JP6517124B2 (en) Noise suppression device, noise suppression method, and program
EP3182731A1 (en) A method for diagnosing sealing properties of microphone and/or loudspeaker seals in an electronic device
US7711031B2 (en) Adaptive technique for inter-carrier-interference canceling in OFDM systems

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
WD01 Invention patent application deemed withdrawn after publication
WD01 Invention patent application deemed withdrawn after publication

Application publication date: 20180216