CN103973254A - Transimpedance type integrated band-pass filter design method - Google Patents
Transimpedance type integrated band-pass filter design method Download PDFInfo
- Publication number
- CN103973254A CN103973254A CN201410114912.1A CN201410114912A CN103973254A CN 103973254 A CN103973254 A CN 103973254A CN 201410114912 A CN201410114912 A CN 201410114912A CN 103973254 A CN103973254 A CN 103973254A
- Authority
- CN
- China
- Prior art keywords
- signal flow
- flow graph
- current
- voltage
- branch
- 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.)
- Granted
Links
Abstract
A transimpedance type integrated band-pass filter design method includes the steps: (1) using a signal flow graph method to derivate a transimpedance type passive LC band-pass filter to obtain a signal flow graph of an LC filter; (2) using an invert integrator to realize the signal flow graph to obtain an all-pole transimpedance band-pass filter based on the invert integrator; (3) further replacing the invert integrator with an all-differential integrator to obtain a transimpedance type all-differential active RC band-pass filter circuit. The transimpedance filter designed according to the method can be directly connected with devices such as transducers, D/A (digital/analog) converters and the like directly outputting current, so that current-voltage conversion is avoided.
Description
Technical field
The invention belongs to Electronics and Information Engineering field, relate to a kind of across resistance type integrated belt Design of Bandpass Filter method.
Background technology
Filter is most popular analog circuit element except amplifier, is the core parts that form filter circuit.The processing to signal that develops rapidly of the communication technology and multimedia technology has proposed more and more higher requirement.And filter is as the key element of signal processing, the quality of its performance directly has influence on the performance of over all Integration circuit.Traditional filter is all the form that adopts voltage input-Voltage-output, in the time that the element of it and current forms is connected, need to access current-voltage converter in centre, has increased number of elements and the power consumption of circuit.Across resistance filter, as a kind of Novel Filter, it is input as current signal, is output as voltage signal, can directly be connected with the transducer or the D/A converter etc. that are output as electric current, has avoided the conversion of current-voltage, has reduced the overall complexity of hardware.Little because of its input impedance across resistance filter, low noise, and can the linear voltage swing that improves frequency mixer, has obtained the concern of Many researchers.
Traditional integrated Design of Active Filter is often taking transfer function as starting point, respectively with biquadratic joint and the realization of single order link, and then it is carried out to cascade obtains.The advantages such as everyone knows, Cascade Design has simplicity of design, and debugging is convenient, but its shortcoming is that response is high to component variation susceptibility.Feedback Design has the modular feature of cascade structure, and the sensitivity characteristic more superior than cascade structure can be provided again, but sort circuit complicated structure regulates difficulty, makes its application be subject to certain limitation.The Passive LC ladder network that both-end is carried has the response feature low to component variation susceptibility, and circuit structure is simple, and debugging is convenient, is applicable to the active filter that design is carved assembly precision and stability requirement lotus.
Summary of the invention
The present invention seeks to solve, the problem such as design process complicated high to component variation susceptibility across resistance type integrated belt Design of Bandpass Filter of the prior art, provide a kind of across resistance type integrated belt Design of Bandpass Filter method.The filter that the method obtains is a kind of new filter way of realization, and has the advantages such as susceptibility is low, dynamic range is large.
The technical solution used in the present invention is as follows:
A kind of across resistance type integrated belt Design of Bandpass Filter method, the method comprises the following steps:
1st, derive across resistance type Passive LC band pass filter with signal flow graph, obtain the signal flow graph of LC filter;
1.1st, first obtain full limit across LC band pass filter prototype according to the technical indicator of band pass filter, and the each component parameters of circuit and branch voltage and branch current are marked.
1.2nd, next, according to KCL, KVL and VCR, write out the relational expression between each branch voltage and branch current variable, to inductance row write current equation, electric capacity row write to voltage equation, obtain relational expression as follows:
（1）
Wherein,
i 1,
i 2,
i 3,
i 4represent respectively each branch current,
v 1,
v 2,
v 3represent each branch node voltage,
l 1,
l 2,
l 3be respectively branch road inductance,
c 1,
c 2,
c 3be respectively branch road electric capacity,
i infor input current,
i ofor output current,
r lfor load resistance.
1.3rd, formula (1) is represented with signal flow graph, in signal flow graph, upper node is all current forms, the input and output that this means integrator always one be electric current, one is voltage; By being multiplied by a proportion resistor R, all electric current variablees in signal flow graph become voltage form.
2nd, realize signal flow graph with inverting integrator, obtain full limit based on inverting integrator across stopband bandpass filter;
2.1st,, according to the signal flow graph in above-mentioned the 1.3rd step, show that the pass of the rear branch voltage of conversion and branch current is
（2）
Wherein,
,
,
,
,
be respectively the magnitude of voltage after the conversion of original signal flow graph electric current element, be positioned at Nodes on signal flow graph.
2.2nd, abbreviation
Order
thereby, V
0=V
1, V
4 '=V
3, above formula can further be reduced to
（3）
（4）
（5）
Formula (3), (4), (5) realize with inverting integrator and represent with accompanying drawing;
2.3rd, 3 accompanying drawings in above-mentioned the 2.2nd step are carried out comprehensively, obtain full limit based on inverting integrator across stopband bandpass filter;
3rd, further substitute inverting integrator with fully differential integrator, obtain across resistance type fully differential Active RC bandwidth-limited circuit.
advantage of the present invention and good effect:
1, the present invention is based on the LC filtered circuit of Two-Port Load, the integrated filter obtaining has the response feature low to element sensitivity.
2, the invention provides a kind of new filter implementation method, across resistance integrated belt bandpass filter, adopt the form of electric current input-Voltage-output, for filter circuit provides stable electric current, be suitable for realizing low-voltage, low-power consumption and great dynamic range filter.
Brief description of the drawings
The full limit of Fig. 1 is across resistance six rank LC band pass filter prototypes.
The full limit band of Fig. 2 leads to LC filter prototype signal flow graph.
Signal flow graph after Fig. 3 conversion.
Fig. 4 formula (3) realizes with inverting integrator.
Fig. 5 formula (4) realizes with inverting integrator.
Fig. 6 formula (5) realizes with inverting integrator.
The full limit of Fig. 7 based on inverting integrator is across resistance bandwidth-limited circuit.
Fig. 8 fully differential is active across stopband bandpass filter.
Fig. 9 is across resistance low pass LC filter circuit.
Figure 10 low pass is to the conversion with logical.
Figure 11 is across the logical LC filter prototype circuit of stopband.
Figure 12 six rank are across the logical active RC filter of stopband.
Figure 13 six rank are across stopband bandpass filter amplitude-frequency characteristic.
Below in conjunction with the drawings and specific embodiments, the present invention will be further described in detail.
Embodiment
Provided by the invention across resistance type integrated belt Design of Bandpass Filter method, comprise the following steps:
(1) derive across resistance type Passive LC band pass filter with signal flow graph, obtain the signal flow graph of LC filter;
(2) realize signal flow graph with inverting integrator, obtain full limit based on inverting integrator across stopband bandpass filter;
(3) further substitute inverting integrator with fully differential integrator, obtain across resistance type fully differential Active RC bandwidth-limited circuit.Specific as follows:
In described step (1), first obtain full limit across LC band pass filter prototype according to the technical indicator of band pass filter, and the each component parameters of circuit and branch voltage and branch current are marked.As shown in Figure 1.
Next, according to KCL, KVL and VCR, write out the relational expression between each branch voltage and branch current variable, to inductance row write current equation, electric capacity row write to voltage equation, obtain relational expression as follows:
（1）
Wherein,
i 1,
i 2,
i 3,
i 4represent respectively each branch current,
v 1,
v 2,
v 3represent each branch node voltage,
l 1,
l 2,
l 3be respectively branch road inductance,
c 1,
c 2,
c 3be respectively branch road electric capacity,
i infor input current,
i ofor output current,
r lfor load resistance.
Formula (1) is represented with signal flow graph, as shown in Figure 2.
In signal flow graph, upper node is all current forms, the input and output that this means integrator always one be electric current, one is voltage.Can become voltage form by all electric current variablees in signal flow graph are multiplied by a proportion resistor R, the signal flow graph after conversion is shown in Fig. 3.
In described step (2), realize signal flow graph with inverting integrator, obtain full limit based on inverting integrator across stopband bandpass filter, its concrete steps are as follows:
According to above-mentioned signal flow graph, show that the pass of the rear branch voltage of conversion and branch current is
（2）
Wherein,
,
,
,
,
be respectively the magnitude of voltage after the conversion of original signal flow graph electric current element, be positioned at Nodes on signal flow graph.
Order
thereby, V
0=V
1, V
4 '=V
3, above formula can further be reduced to
（3）
（4）
（5）
Formula (3) realizes with inverting integrator, represents as shown in Figure 4.
Formula (4) realizes with inverting integrator, represents as shown in Figure 5.
Formula (5) realizes with inverting integrator, represents as shown in Figure 6.
Above-mentioned 3 figure are carried out comprehensively, obtain full limit based on inverting integrator across stopband bandpass filter, as shown in Figure 7.
In described step (3), with the alternative inverting integrator of fully differential integrator, obtain across resistance type fully differential Active RC bandwidth-limited circuit, as shown in Figure 8.
embodiment 1
A specific embodiment of the present invention is to adopt signal flow graph to design one across resistance type band pass filter, and its technical indicator is:
Lower cut-off frequecy of passband: f
1=0.67MHz, upper cut-off frequecy of passband: f
u=1.5MHz;
Stopband lower-cut-off frequency: f
s1=0.4MHz, stopband upper cut-off frequency: f
su=2.5MHz;
The maximum attenuation that passband allows: A
max=1dB, the minimal attenuation that stopband allows: A
min=20dB;
R
S=R
L=10KΩ。
Through frequency inverted, can obtain the amplitude-frequency characteristic of low pass filter.
Utilize formula
=1,
, the normalization technical indicator that can calculate low pass filter is:
Cut-off frequecy of passband f
p=1Hz, the maximum attenuation that passband allows: A
max=1dB,
Stopband cut-off frequency: f
s=2.53Hz, the minimal attenuation that stopband allows: A
min=20dB;
Both-end is carried R
s=R
l=1 Ω.
Select Chebyshev to approach, compute low pass filtered device exponent number N,
（6）
Can calculate n=2.32, upwards get N=3.In the process rounding, can produce certain difference, be N-n here, is also the reason that causes the fluctuation of Chebyshev filter low frequency pass band part.In order to reduce passband fluctuation, use here
substitute
, in the exponent number N substitution formula (6) that is about to obtain, be used for solving
.
（7）
Calculated by formula (7)
=0.13dB, gets
=0.2dB.
Fig. 9 be gained across resistance low pass LC filter circuit.
Carry out the parameter transformation of low pass lc circuit to the logical lc circuit of band, its transformation relation is as Figure 10, and wherein B represents pass band width,
represent the centre frequency of passband.
By above-mentioned conversion, can obtain the lc circuit prototype across stopband bandpass filter, as shown in figure 11.
Utilize the method for introducing to carry out full limit to Figure 11 circuit above and derive across the signal flow graph of stopband bandpass filter, finally obtain six rank across the logical Active RC filter circuit figure of stopband, as shown in figure 12.
In figure, all resistances are all 1
, capacitance C
1=C
2=235.385nF, C
3=C
4=107.612nF, C
5=C
6=114.615nF, C
7=C
8=221.004nF, C
9=C
10=235.385nF, C
11=C
12=107.612nF.
Parameter in Fig. 8 is carried out to renormalization, order
,
（8）
According to formula (8), obtain the circuit parameter after renormalization
, C
1=C
2=23.54pF, C
3=C
4=10.76pF, C
5=C
6=11.46pF, C
7=C
8=22.1pF, C
9=C
10=23.54pF, C
11=C
12=10.76pF.
The fully differential integrator here adopts LMH6551 model.Figure 12 is set up to net table, and utilize Hspice to carry out emulation, obtain simulation result as shown in figure 13.
Can find out from simulation result, meet technical requirement with the active filter of the method design, filtering performance is good, has both retained general active filter and has had advantages of, also has the feature that passive filter is low to component parameters sensitivity.
Comprehensive above-mentioned simulation result and analysis show, adopt the integrated active of the present invention's design to there are following several respects across resistance type band pass filter: 1. designing is that the Passive LC ladder circuit of carrying taking both-end is basis, the math equation that characterizes the trapezoidal internal act of LC is simulated, there is the muting sensitivity characteristic of Passive LC ladder-type filter; 2. realized across this new filter form of resistance filter, adopted the form of electric current input-Voltage-output, for filter circuit provides stable electric current; 3. create the net table of integrated full limit across stopband bandpass filter, and utilized circuit simulating software Hspice to realize emulation.Simulation results show design validity and feasibility.
Claims (1)
1. across a resistance type integrated belt Design of Bandpass Filter method, it is characterized in that the method comprises the following steps:
1st, derive across resistance type Passive LC band pass filter with signal flow graph, obtain the signal flow graph of LC filter;
1.1st, first obtain full limit across LC band pass filter prototype according to the technical indicator of band pass filter, and the each component parameters of circuit and branch voltage and branch current are marked;
1.2nd, next, according to KCL, KVL and VCR, write out the relational expression between each branch voltage and branch current variable, to inductance row write current equation, electric capacity row write to voltage equation, obtain relational expression as follows:
（1）
Wherein,
i 1,
i 2,
i 3,
i 4represent respectively each branch current,
v 1,
v 2,
v 3represent each branch node voltage,
l 1,
l 2,
l 3be respectively branch road inductance,
c 1,
c 2,
c 3be respectively branch road electric capacity,
i infor input current,
i ofor output current,
r lfor load resistance;
1.3rd, formula (1) is represented with signal flow graph, in signal flow graph, upper node is all current forms, the input and output that this means integrator always one be electric current, one is voltage; By being multiplied by a proportion resistor R, all electric current variablees in signal flow graph become voltage form;
2nd, realize signal flow graph with inverting integrator, obtain full limit based on inverting integrator across stopband bandpass filter;
2.1st,, according to the signal flow graph in above-mentioned the 1.3rd step, show that the pass of the rear branch voltage of conversion and branch current is
（2）
Wherein,
,
,
,
,
be respectively the magnitude of voltage after the conversion of original signal flow graph electric current element, be positioned at Nodes on signal flow graph;
2.2nd, abbreviation
Order
thereby, V
0=V
1, V
4 '=V
3, above formula can further be reduced to
（3）
（4）
（5）
Formula (3), (4), (5) realize with inverting integrator and represent with accompanying drawing;
2.3rd, 3 accompanying drawings in above-mentioned the 2.2nd step are carried out comprehensively, obtain full limit based on inverting integrator across stopband bandpass filter;
3rd, further substitute inverting integrator with fully differential integrator, obtain across resistance type fully differential Active RC bandwidth-limited circuit.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201410114912.1A CN103973254B (en) | 2014-03-26 | 2014-03-26 | A kind of across resistance type integrated band pass filter method for designing |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201410114912.1A CN103973254B (en) | 2014-03-26 | 2014-03-26 | A kind of across resistance type integrated band pass filter method for designing |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN103973254A true CN103973254A (en) | 2014-08-06 |
| CN103973254B CN103973254B (en) | 2016-11-23 |
Family
ID=51242375
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201410114912.1A Expired - Fee Related CN103973254B (en) | 2014-03-26 | 2014-03-26 | A kind of across resistance type integrated band pass filter method for designing |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN103973254B (en) |
Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN106209016A (en) * | 2016-06-23 | 2016-12-07 | 宁波芯辰微电子有限公司 | A kind of oval band filter method for simplifying |
| WO2018214454A1 (en) * | 2017-05-24 | 2018-11-29 | 华为技术有限公司 | Radio frequency transmitter |
| WO2021093520A1 (en) * | 2019-11-11 | 2021-05-20 | 苏州华芯微电子股份有限公司 | Transimpedance mirror filter with adjustable bandwidth, gain and frequency |
Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20050140454A1 (en) * | 2003-10-20 | 2005-06-30 | Katsumi Uesaka | Pre-amplifier for an optical communication |
| CN101656575A (en) * | 2009-09-30 | 2010-02-24 | 朱万华 | Free space optical communication device based on passive optical network (PON) |
| CN201821352U (en) * | 2009-10-10 | 2011-05-04 | 刘奕辉 | Free space photo-communication device based on passive optical network |
-
2014
- 2014-03-26 CN CN201410114912.1A patent/CN103973254B/en not_active Expired - Fee Related
Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20050140454A1 (en) * | 2003-10-20 | 2005-06-30 | Katsumi Uesaka | Pre-amplifier for an optical communication |
| CN101656575A (en) * | 2009-09-30 | 2010-02-24 | 朱万华 | Free space optical communication device based on passive optical network (PON) |
| CN201821352U (en) * | 2009-10-10 | 2011-05-04 | 刘奕辉 | Free space photo-communication device based on passive optical network |
Cited By (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN106209016A (en) * | 2016-06-23 | 2016-12-07 | 宁波芯辰微电子有限公司 | A kind of oval band filter method for simplifying |
| CN106209016B (en) * | 2016-06-23 | 2023-09-01 | 上海福满多半导体有限公司 | Method for simplifying elliptical band-pass filter |
| WO2018214454A1 (en) * | 2017-05-24 | 2018-11-29 | 华为技术有限公司 | Radio frequency transmitter |
| CN108933607A (en) * | 2017-05-24 | 2018-12-04 | 华为技术有限公司 | Radio frequency sending set |
| CN108933607B (en) * | 2017-05-24 | 2020-08-25 | 华为技术有限公司 | Radio frequency transmitter |
| US10917127B2 (en) | 2017-05-24 | 2021-02-09 | Huawei Technologies Co., Ltd. | Radio frequency transmitter |
| WO2021093520A1 (en) * | 2019-11-11 | 2021-05-20 | 苏州华芯微电子股份有限公司 | Transimpedance mirror filter with adjustable bandwidth, gain and frequency |
Also Published As
| Publication number | Publication date |
|---|---|
| CN103973254B (en) | 2016-11-23 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| Biolek | CDTA-building block for current-mode analog signal processing | |
| JP2964149B2 (en) | Filter circuit | |
| Chang et al. | Analytical synthesis of low-sensitivity high-order voltage-mode DDCC and FDCCII-grounded R and C all-pass filter structures | |
| Biolek et al. | Universal biquads using CDTA elements for cascade filter design | |
| Wu et al. | Universal voltage-and current-mode OTAs based biquads | |
| Ayten et al. | Current mode leapfrog ladder filters using a new active block | |
| CN103973254A (en) | Transimpedance type integrated band-pass filter design method | |
| Bruton | Multiple-amplifier RC-active filter design with emphasis on GIC realizations | |
| Wu et al. | Design of current-mode ladder filters using coupled-biquads | |
| Ray et al. | Efficient synthesis of OTA network for linear analog functions | |
| Biolek et al. | Current-input current-output universal biquad employing two bulk-driven VDTAs | |
| Sotner et al. | Design of fully adjustable solution of band-reject/all-pass filter transfer function using signal flow graph approach | |
| Psychalinos et al. | On the exact realization of log-domain elliptic filters using the signal flow graph approach | |
| Karybakas et al. | Low-sensitive CCII-based biquadratic filters offering electronic frequency shifting | |
| Sun et al. | Explicit design formulas for current‐mode leap‐frog OTA‐C filters and 300 MHz CMOS seventh‐order linear phase filter | |
| CN210274516U (en) | Audio amplifying circuit and playback apparatus | |
| JP2664675B2 (en) | Bandpass filter | |
| CN107302349B (en) | Novel low-pass filter design method based on transfer function and data processing | |
| Langhammer et al. | Fully differential universal current-mode frequency filters based on signal-flow graphs method | |
| Freeborn et al. | Fractional step analog filter design | |
| CN102347742B (en) | 1kFtADSL (1kFt Asymmetrical Digital Subscriber Loop) signal attenuation circuit | |
| Koksal | Realization of a general all‐pole current transfer function by using CBTA | |
| Domansky et al. | Higher order differentiator block for synthesis of controllable frequency dependent elements | |
| CN209330079U (en) | A kind of sef-adapting filter instructional device based on DSP | |
| Jurisic et al. | Inductorless elliptic filters with reduced number of capacitors using signal-flow graphs |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C06 | Publication | ||
| PB01 | Publication | ||
| C10 | Entry into substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| C14 | Grant of patent or utility model | ||
| GR01 | Patent grant | ||
| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20161123 Termination date: 20170326 |
|
| CF01 | Termination of patent right due to non-payment of annual fee |