Design of a Five Phase CMOS OTA oscillator

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Design of a Five Phase CMOS OTA oscillator

Design of a Five Phase CMOS OTA oscillator

Karan Bahal,

B. Tech,

Bharati Vidyapeeths College of Engineering New Delhi

Manoranjan Kumar,

Assistant Professor, Northern India Engineering College,

New Delhi

Abstract This paper presents a five phase CMOS OTA oscillator. In this oscillator we are using the resistor as an OTA. Since all the OTA-based simulators exhibit wide range electronic tenability of their important circuit parameters and reliable high frequency performance. The multiphase sinusoidal oscillator has their wide application in communication, signal processing and power controllers. A basic scheme is used for realization of odd phase oscillators using OTA as the active device. These oscillators can provide n signals equal in amplitude as well as equally spaced in phase.



    The sinusoidal oscillator realized with operational trans

    conductance amplifier (OTA),-C technique provide highly linear electronic tenability and have more reliable high

    frequency performance, than operational amplifier based

    oscillator. Moreover, the -C sinusoidal oscillator circuits are suitable for integrated circuit implementation, both in

    bipolar and CMOS technologies. The quadrature oscillator is an important unit in many applications, in communication, signal processing and instrumentation systems.Using OTA, oscillators have greater advantages over op-amp based oscillators .An OTA is an amplifying unit with a current output(high output resistance) in contrast to the classical op- amp having a low output resistance (voltage source). OTA are used normally without external feedback.They have better high frequency capability thanop-anps. The output voltages is

    simply output current times load impedance. Since can be

    varied the gain can be controlled by an external control

    voltage. The first commercially available integrated circuit units were produced by RCA in 1969 (before being acquired by General Electric), in the form of the CA3080, and they have been improved since that time. Although most units are constructed with bipolar transistors, field effect transistor units are also produced. The OTA is not as useful by itself in the vast majority of standard op-amp functions as the ordinary op- amp because its output is a current. One of its principal uses is in implementing electronically controlled applications such as variable frequency oscillators and filters and variable gain amplifier stages which are more difficult to implement with standard op-amps.Earlier versions of the OTA had neither the Ibias terminal shown in the diagram nor the diodes shown adjacent to it. They were all added in later versions. As depicted in the diagram, the anodes of the diodes are attached together and the cathode of one is attached to the non inverting

    with input resistors, the diodes distort the differential input voltage to offset a significant amount of input stage non linearity at higher differential input voltages. According to National Semiconductor, the addition of these diodes increases the linearity of the input stage by a factor of 4. There are so many disadvantages of op-amp oscillator in context to the OTA oscillator. First, its output of a current contrasts to that of standard operational amplifier whose output is a voltage. Second, except for its input stage (which is a simple two transistor differential amplifier), its internal circuitry is completely different. The OTA is constructed completely of transistors and diodes; it uses no resistors or capacitors. Third, it is usually used "open-loop"; without negative feedback in linear applications. This is possible because the magnitude of the resistance attached to its output controls its output voltage. Therefore a resistance can be chosen that keeps the output from going into saturation, even with high differential input voltages.


    Oscillation results from an unstable state; i.e., the feed-back system cant find a stable state because its transferfunction cant be satisfied.Any system can beunstable, when (1+A) = 0, because A/0 is an undefined state. Thus, the key to designing an oscillator is to insure that A = 1called the Barkhausen criterion.The 180°phase shiftcriterion applies to negative feedback systems,and 0° phase shift applies to positive feedback systems. The figure shown below shows the five phase CMOS OTA oscillator.

    Fig.1.Schematic of five phaseCMOS OTA oscillator.

    For the circuit given above, the voltage transfer function of each block is given by:



    For five phase,the analysis yields the condition and frequency of oscillation of multiphase sinusoidal oscillator given by:

    input (Vin+) and the cathode of the other to the inverting input

    /C 5

    (Vin). The diodes are biased at the anodes by a current (Ibias) that is injected into the Ibias terminal. These additions make two substantial improvements to the OTA. First, when used

    S+1/RC =1

    After expanding the expression, we get the result


    – /5

    5+55/RC +103/22 +102/33 +5S/44 +1/55


    Put S=j,we have:

    This value is acceptable.

    And the value of corresponding to this , is given by;

    = 0.7266;


To prove the performances of the proposed circuit, the tanner tool was used for the examination. The entire five nodesgives

5 /5

j5+54/RC j103/22 -102/33 +j5/44



=1 sinusoidal waveform. Figure (1) depicts the schematic

description of the CMOS OTA oscillator used in the simulations. The circuit was biased with -3V supply voltages.The results showed inbelow Figure 2 shows the oscillation frequency:

5 5 54


5 5 5




+ 1/





22 44

3 2



33 +



+ 5 10


+ 5/44

=1 (1)

Equating Imaginary part to zero of equation no.(1),we get;





+ = 0



Let2=t, we have;


4 10


+ =0


2 10


After solving this equation, we get;


+ =0


t= 5±25 ;


Taking positive sign, we have;




Taking negative sign, we have;




Now equating the real part to one, we have;

105 2











33 +



+ 5




+ 5/44

Putting the value of 2=1=9.472/22, in the above

equation, we get;

5 =354.873/5

This value is not acceptable.

Now putting the another value of 2=2=0.528/22, in the

above equation, we get;

5 8.334



= 2.8875;



Figure(2) shows the output of the oscillator. All nodes having the same sinusidal output but having different phase. Hence from the above discussion we get our required condition of

oscillation and frequency of oscillation.


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