WO2002084234A1 - Apparatus and method for the analysis of signal frequencies - Google Patents
Apparatus and method for the analysis of signal frequencies Download PDFInfo
- Publication number
- WO2002084234A1 WO2002084234A1 PCT/GB2002/001708 GB0201708W WO02084234A1 WO 2002084234 A1 WO2002084234 A1 WO 2002084234A1 GB 0201708 W GB0201708 W GB 0201708W WO 02084234 A1 WO02084234 A1 WO 02084234A1
- Authority
- WO
- WIPO (PCT)
- Prior art keywords
- sampling
- signal
- frequency
- components
- data
- Prior art date
Links
Classifications
-
- H—ELECTRICITY
- H03—ELECTRONIC CIRCUITRY
- H03H—IMPEDANCE NETWORKS, e.g. RESONANT CIRCUITS; RESONATORS
- H03H17/00—Networks using digital techniques
- H03H17/02—Frequency selective networks
- H03H17/0283—Filters characterised by the filter structure
- H03H17/0286—Combinations of filter structures
- H03H17/0291—Digital and sampled data filters
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R23/00—Arrangements for measuring frequencies; Arrangements for analysing frequency spectra
- G01R23/16—Spectrum analysis; Fourier analysis
Definitions
- the present invention relates to a method and apparatus for analysing and synthesising signal frequencies .
- Known frequency analysis units generally contain built-in filters, which, as far as possible, block all component frequencies of a signal which exceed the maximum recoverable frequency of the analogue to digital (A/D) converter sampling unit which is used.
- the maximum recoverable frequency is generally taken as up to half of the sampling rate of the A/D converter being used. More generally, in the area of frequency shift techniques, it is expressed that the maximum bandwidth that can be recovered is limited to half the sampled frequency. This consideration is as laid down in the universally stated Nyquist Criteria or as in Shannon's Sampling Theory. If the frequencies exceeding this limit are not blocked, aliased or "fold-over" signals would be produced, thereby giving erroneous information.
- an analogue signal to be monitored or analysed contains a frequency that occurs above the Nyquist frequency of the A/D converter, then that frequency would be removed by filters and thus missed.
- the problem with this known arrangement is that it is necessary to know the highest frequency in advance, so that filters can be set accordingly. However, should a signal unexpectedly contain a frequency which occurs above the predicted maximum frequency, this frequency would be filtered out and so missed in the analysis .
- One application of such signal analysis is in the vibration monitoring of machinery.
- Sensors can be placed at strategic locations on the machinery so as to monitor one or more signals, which are captured within a computer or dedicated spectrum analyser via one or more A/D converters.
- A/D converters By monitoring the frequencies generated by the machinery during operation it is possible to establish whether components within the machinery are defective or malfunctioning. Naturally, a machine which has defective components will emit more vibration or noise signals than a machine with little or no defect within its components.
- the captured signals are converted into computer data arrays- by advanced frequency analysis techniques such as, for example, the Fast Fourier Transform (FFT) , Hartley Transform or Chirp Transform.
- FFT Fast Fourier Transform
- Hartley Transform Hartley Transform
- Chirp Transform the frequency make up of the signals emitted by the machine can be analysed.
- the problem encountered when converting analogue signals to digital format is when the analogue signal contains frequencies which are too high to be contained within the previously explained bandwidth of the A/D converting system.
- the highest frequency which can be unambiguously retrieved cannot be greater than half of the sampling frequency of the A/D converter.
- the maximum bandwidth that can be unambiguously recovered is less than half of the capture frequency ' of the A/D converter.
- an apparatus for analysing a signal comprising signal receiving means, signal sampling means and data processing means,. wherein the sampling means has at least two sampling components, each of said sampling components being adapted to sample the signal at a different sampling rate, and wherein the data processing means is adapted to apply frequency analysis techniques to the data derived from said at least two sampling components.
- said apparatus further comprises a display means.
- each of said sampling components comprises an analogue to digital signal converter, a data storage means and a control means.
- each of said sampling components further comprises a clock that determines the sampling rate of said sampling components.
- said data processing means controls the sampling, storing and communication of data from said sampling components via said control means .
- said at least two sampling components sample the signal at first and second sampling rates, respectively, wherein said second sampling rate is n-Ri Hz, where Ri is much less than n and where n is the first sampling rate.
- the sampling means has three sampling components having first, second and third sampling rates, respectively, wherein said second sampling rate is n-R ⁇ Hz and said third sampling rate is n+R 2 Hz, where Ri and R 2 are much less than n and where n is the first sampling rate.
- Ri and R 2 are chosen to be as small as possible as this factor contributes to increasing the maximum unambiguous recoverable frequency.
- said signal receiving means comprises at least one sensor or signal source.
- a method of analysing the frequencies of a signal comprising the steps of: receiving the signal via a signal receiving means ; sampling the signal using at least two sampling components, the sampling components being adapted to sample the signal at different sampling rates; communicating the sampling data from said sampling components to a data processing means; applying a frequency analysis technique to the sampling data via said data processing means; and comparing the resultant frequencies of said frequency analysis step via said data processing means .
- said at least two sampling components sample the signal at first and second sampling rates, respectively, wherein said second sampling rate is n-Rj Hz, where R x is much less than n and where n is the first sampling rate.
- the signal is sampled using three sampling components having first, second and third sampling rates, respectively, wherein said second sampling rate is n-Ri Hz and said third sampling rate is n+R 2 Hz, where R x and R 2 are much less than n and where n is the first sampling rate.
- Ri and R 2 are chosen to be as small as possible as this factor contributes to increasing the maximum unambiguous recoverable frequency .
- the frequency analysis technique of the application step is chosen from the group comprising a Fast Fourier Transform, a Hartley Transform and a Chirp Transform.
- the method uses an apparatus in accordance with the first aspect of the present invention.
- Figure 1 shows diagramr ⁇ atically an example of how an alias frequency can occur
- Figure 2 shows a graph illustrating the alias frequency of Figure 1
- Figure 3 shows in diagrammatical form how multiple frequencies can create an alias frequency with the example of Figure 1;
- Figure 4 shows a block diagram of an asynchronous data logger component of the present invention
- Figure 5 shows a block diagram illustrating the steps of the analysis program of the present invention
- Figures 6(a) and 6(b) and 7 (a) -(c) show diagrammatically the frequency determination step of the present invention.
- Figure 3 shows in diagrammatical form how multiple fold-over or aliasing can occur.
- This example is based upon that shown in Figure 1, but with the multiple fold-over frequency ranges shown in the form of a sawtooth diagram comprised of frequency ranges NY1-NY6. Where the ranges meet are fold-over points FO 1 -FO 5 .
- the diagram shows that not only can the 1.2 KHz signal appear folded over as in Figure 1, but also a large number of other frequencies can also fold over and only appear within the primary 0- 1 KHz range.
- the Nyquist range for this example is 0-1 KHz as the sampling frequency is 2 KHz.
- the Nyquist range is shown as the range NYl in Figure 3, and the fold over point F0 ⁇ is therefore at 1 KHz.
- the line NY2 represents the frequency range 1-2 KHz which is the • fold over of the 0-1 KHz range represented by line NYl, the frequency range NY2 itself folding over at fold over point F0 2 (2 KHz) .
- each 1 KHz range as represented by lines NY3-NY6 folds over at a respective fold over point F0 3 -F0 5 .
- ranges NYl, NY3 , and NY5 are referred to herein as positive slopes, while ranges NY2 , NY4, and NY6 are referred to as negative slopes.
- reference line P illustrates how higher frequencies in the ranges NY2-NY6 would still show during analysis as an alias frequency of 0.8 KHz, as shown in Figure 1.
- 0.8 KHz is 0.2 KHz below the Nyquist frequency of 1 KHz
- any frequency that is either 0.2 KHz above or below the frequency at the fold over points F0 3 and F0 5 would show up during analysis as 0.8 KHz.
- an incoming frequency of 2.8 KHz lies within the NY3 frequency range but will show as 0.8 KHz in the NYl range due to the aforementioned limitations of current analysis techniques.
- ADL Asynchronous Data Logging
- the ADL has three independent 16-bit sampling channels, which sample the same signal over the same overall time sequence but at slightly different sampling rates, as they are each clocked independently at different rates .
- the three samples may then be analysed and mathematically recombined to overcome aliasing problems .
- the preferred embodiment of the ADL uses three channels, the ADL may have any number of channels greater than or equal to two, as will be described below.
- the signal to be analysed is passed from a signal source or sensor 1 to each of the three channels I-III via a buffer 2, with no filtering.
- Each of the channels I-III comprises an analogue to strictly digital (A/D) signal converter 3, a sampling clock 4 to set the sampling rate of the converter 3, a memory 5 or other suitable data storage means for storing sampled data and an individual channel control microcontroller 6, which serves as a control means and has overall control of the sampling, storing and communication of data in its particular channel.
- the overall control of the ADL is provided by a master microcontroller 7, which serves as a further control means and communicates with the individual microcontrollers 6, a data processing means such as a PC (not shown) , and a display means, such as a PC monitor (not shown) which is used to receive and subsequently analyse the data from the ADL, as will be described below.
- a master microcontroller 7 which serves as a further control means and communicates with the individual microcontrollers 6, a data processing means such as a PC (not shown) , and a display means, such as a PC monitor (not shown) which is used to receive and subsequently analyse the data from the ADL, as will be described below.
- the preferred data processing means contains control and download programs for the ADL.
- the set-up program is run first and communicates with the ADL to set up the rate of the sampling clock 4 of each of the channels I-III, indicating the required number of samples and when to start.
- Each of the clocks 4 in this particular example can provide sampling frequencies from 1,562.5 Hz up to 62,500 Hz.
- the control program determines when the sampling of the A/D converters 3 starts and stops . Once the data has been logged in the ADL, the download program transfers the data to the data processing means for analysis.
- the ADL is connected to one or more sensors or signal sources 1.
- the set-up program can be run internally or by way of an external device, such as a PC, and initially detects the active channels of the ADL. The user then inputs each channel's chosen sampling times into the set-up, ' which are then conveyed to the individual channels of the ADL. Sampling times are input into the set-up program such that the sampling frequencies of each channel are very close. For the embodiment shown here with three channels I-III the centre channel II will sample at n Hz, and the channels I and III will sample at n-Ri Hz and n+R 2 Hz, respectively, where Ri and R 2 are much less than n.
- channel I will sample at 1,999 Hz
- channel II at 2,000 Hz
- channel III at 2,001 Hz.
- n is 2,000 Hz
- Ri and R 2 are each 1 Hz.
- R x and R 2 need not be the same value.
- the control program then instructs the ADL to commence sampling, with the sampling being carried out until either (i) a stop instruction is given, (ii) the memory 5 of the channel is full or (iii) a pre-set number of samples have been taken.
- the download program transfers the stored data from the ADL to the data processing means for analysis .
- FIG. 5 shows in block diagram form the steps of the analysis program in the data processing means once the sample data is loaded into data arrays 8 corresponding to the number of sampling channels in the ADL.
- the resultant samples are then analysed by performing a frequency analysis technique, such as a Fast Fourier Transform (FFT) , Hartley Transform, Chirp Transform or similar analysis technique, so as to locate the frequency components within the samples.
- FFT Fast Fourier Transform
- the data arrays 8 are analysed through FFT engines 9 to produce resultant frequencies 10 in the Nyquist range.
- Some of the located frequencies 10 may be aliased frequencies.
- the signals within each of the 3 channels are compared by comparison step 11 so as to isolate the aliased frequencies.
- the frequency spectra of the different channels are then combined with each other to produce definitive and unambiguous results without anti-aliasing filters at results step 12.
- the waveforms produced by the samples from each channel can be shown for visual display on a display means (not shown) , in a similar manner to that of an oscilloscope.
- Figures 6(a) and 6(b) and 7 (a) -(c) show sawtooth diagrams similar to that of Figure 3.
- Figures 6(a) and 6(b) illustrate the analysis program for use with an ADL having two sampling channels.
- Channels I and II have sampling rates of 1,999 and 2,000 Hz, respectively, where the Nyquist frequencies will be 999.5 Hz and 1000 Hz. Therefore, for the reasons explained with reference to Figure 3 , an incoming frequency of 4.6 KHz will appear in channel I ( Figure 6(a)) as a perceived or aliased signal of 602 Hz.
- F act abs ( (Fl - F2)Q - Fl )
- SI and S2 are the relevant sampling frequencies for channels I and II, in • this case 1,999 and 2,000 Hz respectively.
- Figures 7 (a) - (c) show an example with an incoming frequency of 4,998 Hz. This would appear as 999 Hz in the 1,999 Hz sampling channel I of Figure 7(a) and as 998 Hz in the 2,000 Hz sampling channel II of Figure 6(b) .
- Figure 7(a) shows a movement up the frequency range from the 4,997.5 Hz fold-over point by 0.5 Hz on the 1,999 Hz channel I, so as to give a perceived or aliased frequency of 999 Hz (Nyquist Frequency of 999.5 Hz less 0.5 Hz) .
- the frequency moves down the frequency range from the 5000 Hz fold-over point by .0 Hz , so as to give a perceived or aliased frequency of 998 Hz (Nyquist Frequency of 1000 Hz less 2 Hz) .
- F is the maximum sampling frequency of the channel II A/D converter of the ADL compatible with obtaining three distinct sampling frequencies at R frequencies .
- R is the smallest incremental frequency of the ADL.
- channel II is the middle sampling rate of the three A/D converters in the ADL.
- the preferred embodiment of the invention uses three separate but constant frequency sampling channels, where only two of the three channels are required whilst both lie on the same slope and are therefore of the same polarity (negative or positive) on the sawtooth diagram.
- the third channel may be on an adjacent slope and, as such, will therefore be of a different polarity.
- An enhancement of the device can be obtained, by way of an example, by slightly varying the frequencies of the sampling channels during the capture process . With an increase in sampling frequencies the perceived aliased frequencies, if in fact they are aliased frequencies, will decrease for any component lying on a negative slope and correspondingly increase for any component lying on a positive slope. Using this method only two channels will be required to unambiguously retrieve the actual frequency component.
- an enhanced embodiment of the invention can be achieved in that, by predicting the polarity of the perceived frequencies the maximum frequency that can be unambiguously retrieved will be extended as in following equation:
- FE max is the enhanced maximum attainable frequency.
- SI, S2, S3, ... etc are the sampling frequencies on channels I, II and III, etc. This premise is based on the fact that the cyclic repeatability of multiply sampling frequencies is the Lowest Common Denominator of those sampling frequencies and thus up to that value, ie FE max , there will be no repeated perceived or aliased frequencies, ie each pattern of perceived or aliased frequencies from a given F act will be unique and will only repeat once F act is greater than FE max .
- This technique may be utilised, with the use of appropriately specified components, in such applications as communications and radar.
- An additional area of this application is to bring multiple high bandwidth frequency signals into lower frequency spectra.
- bandwidth such as radio and television
- ADL of the preferred embodiment is described as being a stand-alone unit, it may also be provided as an internal component of the data processing means upon which the analysis system is held.
Abstract
Description
Claims
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
EP02722423A EP1379844A1 (en) | 2001-04-18 | 2002-04-18 | Apparatus and method for the analysis of signal frequencies |
Applications Claiming Priority (2)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
GB0109518A GB0109518D0 (en) | 2001-04-18 | 2001-04-18 | Signal analysis and synthesis |
GB0109518.1 | 2001-04-18 |
Publications (1)
Publication Number | Publication Date |
---|---|
WO2002084234A1 true WO2002084234A1 (en) | 2002-10-24 |
Family
ID=9912987
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
PCT/GB2002/001708 WO2002084234A1 (en) | 2001-04-18 | 2002-04-18 | Apparatus and method for the analysis of signal frequencies |
Country Status (3)
Country | Link |
---|---|
EP (1) | EP1379844A1 (en) |
GB (1) | GB0109518D0 (en) |
WO (1) | WO2002084234A1 (en) |
Cited By (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN106500829A (en) * | 2016-09-30 | 2017-03-15 | 广州机智云物联网科技有限公司 | A kind of adaptively sampled frequency tracking method |
DE102019114930B3 (en) * | 2019-06-04 | 2020-06-25 | Voith Patent Gmbh | Method and arrangement for monitoring systems |
US20210011151A1 (en) * | 2019-07-10 | 2021-01-14 | GM Global Technology Operations LLC | Radar range ambiguity resolution using multi-rate sampling |
Citations (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US4866441A (en) * | 1985-12-11 | 1989-09-12 | Her Majesty The Queen In Right Of Canada, As Represented By The Minister Of National Defence | Wide band, complex microwave waveform receiver and analyzer, using distributed sampling techniques |
US6026418A (en) * | 1996-10-28 | 2000-02-15 | Mcdonnell Douglas Corporation | Frequency measurement method and associated apparatus |
US6208944B1 (en) * | 1997-06-26 | 2001-03-27 | Pruftechnik Dieter Busch Ag | Method for determining and displaying spectra for vibration signals |
Family Cites Families (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US5099194A (en) * | 1991-03-06 | 1992-03-24 | The United States Of America As Represented By The Secretary Of The Air Force | Digital frequency measurement receiver with bandwidth improvement through multiple sampling of real signals |
JPH0743402A (en) * | 1992-09-08 | 1995-02-14 | Aerometrics Inc | Method and device for obtaining frequency of time change signal |
-
2001
- 2001-04-18 GB GB0109518A patent/GB0109518D0/en not_active Ceased
-
2002
- 2002-04-18 EP EP02722423A patent/EP1379844A1/en not_active Ceased
- 2002-04-18 WO PCT/GB2002/001708 patent/WO2002084234A1/en not_active Application Discontinuation
Patent Citations (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US4866441A (en) * | 1985-12-11 | 1989-09-12 | Her Majesty The Queen In Right Of Canada, As Represented By The Minister Of National Defence | Wide band, complex microwave waveform receiver and analyzer, using distributed sampling techniques |
US6026418A (en) * | 1996-10-28 | 2000-02-15 | Mcdonnell Douglas Corporation | Frequency measurement method and associated apparatus |
US6208944B1 (en) * | 1997-06-26 | 2001-03-27 | Pruftechnik Dieter Busch Ag | Method for determining and displaying spectra for vibration signals |
Non-Patent Citations (1)
Title |
---|
See also references of EP1379844A1 * |
Cited By (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN106500829A (en) * | 2016-09-30 | 2017-03-15 | 广州机智云物联网科技有限公司 | A kind of adaptively sampled frequency tracking method |
DE102019114930B3 (en) * | 2019-06-04 | 2020-06-25 | Voith Patent Gmbh | Method and arrangement for monitoring systems |
WO2020244849A1 (en) * | 2019-06-04 | 2020-12-10 | Voith Patent Gmbh | Method for monitoring systems |
US20210011151A1 (en) * | 2019-07-10 | 2021-01-14 | GM Global Technology Operations LLC | Radar range ambiguity resolution using multi-rate sampling |
Also Published As
Publication number | Publication date |
---|---|
EP1379844A1 (en) | 2004-01-14 |
GB0109518D0 (en) | 2001-06-06 |
Similar Documents
Publication | Publication Date | Title |
---|---|---|
CA2152705C (en) | Nuclear magnetic resonance receiver, method and system | |
JP3444904B2 (en) | Signal analyzer | |
CN102419389B (en) | Time domain measurement in test and sensing device | |
JP5448452B2 (en) | Data compression to generate spectral trace | |
DE102012007874A1 (en) | Chirp communication | |
JP2008039780A (en) | Time-frequency domain conversion method and apparatus | |
CN104122444A (en) | All-digital intermediate frequency spectrum analyzer and spectrum analyzing method | |
KR101840828B1 (en) | SDR Receiver for detecting doppler frequency in CW radar and method for detecting the same | |
CN106199187B (en) | A kind of test method of multi-tone signal relative phase | |
US20070250558A1 (en) | Method and Device for Performing Spectrum Analysis of a Wanted Signal or Noise Signal | |
US20140163940A1 (en) | Method and system for modeling rf emissions occurring in a radio frequency band | |
CN105044459B (en) | A kind of harmonic analysis method | |
EP1379844A1 (en) | Apparatus and method for the analysis of signal frequencies | |
CN109581049B (en) | Measuring device and method for phase-coherent analysis of frequency-hopping signals | |
TWI753189B (en) | Method for processing continuous sensor signals and sensor system | |
JPH06506057A (en) | Method for determining the transmission characteristics of electrical conductors | |
US9726702B2 (en) | Impedance measurement device and method | |
JPH08184624A (en) | Transfer function measuring equipment | |
JP3599994B2 (en) | Radio wave measurement equipment | |
JP3146093B2 (en) | Two-stage fast Fourier transform method | |
JP5550203B2 (en) | Waveform analyzer | |
CN110940857A (en) | Spectrum parameter detection method | |
JPH0627163A (en) | Fft analyzer | |
McLean et al. | Nyquist—overcoming the limitations | |
JP2000284008A (en) | Frequency measuring method and device |
Legal Events
Date | Code | Title | Description |
---|---|---|---|
AK | Designated states |
Kind code of ref document: A1 Designated state(s): AE AG AL AM AT AU AZ BA BB BG BR BY BZ CA CH CN CO CR CU CZ DE DK DM DZ EC EE ES FI GB GD GE GH GM HR HU ID IL IN IS JP KE KG KP KR KZ LC LK LR LS LT LU LV MA MD MG MK MN MW MX MZ NO NZ OM PH PL PT RO RU SD SE SG SI SK SL TJ TM TN TR TT TZ UA UG US UZ VN YU ZA ZM ZW |
|
AL | Designated countries for regional patents |
Kind code of ref document: A1 Designated state(s): GH GM KE LS MW MZ SD SL SZ TZ UG ZM ZW AM AZ BY KG KZ MD RU TJ TM AT BE CH CY DE DK ES FI FR GB GR IE IT LU MC NL PT SE TR BF BJ CF CG CI CM GA GN GQ GW ML MR NE SN TD TG |
|
121 | Ep: the epo has been informed by wipo that ep was designated in this application | ||
WWE | Wipo information: entry into national phase |
Ref document number: 2002722423 Country of ref document: EP |
|
WWP | Wipo information: published in national office |
Ref document number: 2002722423 Country of ref document: EP |
|
REG | Reference to national code |
Ref country code: DE Ref legal event code: 8642 |
|
NENP | Non-entry into the national phase |
Ref country code: JP |
|
WWW | Wipo information: withdrawn in national office |
Country of ref document: JP |
|
WWR | Wipo information: refused in national office |
Ref document number: 2002722423 Country of ref document: EP |
|
WWW | Wipo information: withdrawn in national office |
Ref document number: 2002722423 Country of ref document: EP |