A systematic class AB state space synthesis method based on MOSFET square law and translinear square-root cells

2015 ◽  
Vol 43 (12) ◽  
pp. 1989-2010 ◽  
Author(s):  
Saziye Surav Yilmaz ◽  
Abdullah T. Tola
Keyword(s):  
State Space ◽  
Synthesis Method ◽  
Square Root ◽  
Root Cells ◽  
Class Ab

REALIZATION OF SQUARE ROOT DOMAIN TOW–THOMAS BIQUADRATIC FILTER

2010 ◽  
Vol 19 (05) ◽  
pp. 1015-1024
Author(s):  
SİNEM ÖLMEZ ◽  
UĞUR ÇAM
Keyword(s):  
State Space ◽  
Supply Voltage ◽  
Synthesis Method ◽  
Model Parameters ◽  
Square Root ◽  
Spice Simulation ◽  
Biquadratic Filter ◽  
Simulation Results ◽  
Theoretical Results ◽  
Good Agreement

In this paper, a Tow–Thomas biquadratic filter designed in square root domain is proposed. The presented filter is constructed with a lossy integrator, a lossless integrator, and a summer block. To the best knowledge of the authors, the filter is the first square root domain Tow–Thomas filter in the literature. The state space synthesis method is used to design the biquadratic filter. The filter operated at 2.5 V supply voltage is simulated by using SPICE simulation program with 0.25 μm TSMC CMOS model parameters. Simulation results are in good agreement with theoretical results that the cut-off frequency and quality factor of the filter are tunable electronically.

scholarly journals Reduction of second order linear dynamical systems, with large dissipation, by state variable transformations

1990 ◽  
Vol 32 (2) ◽  
pp. 207-222
Author(s):  
R. B. Leipnik
Keyword(s):  
Dynamical Systems ◽  
State Space ◽  
Computing Time ◽  
Square Root ◽  
Space Systems ◽  
Linear Dynamical Systems ◽  
State Variable ◽  
State Space Systems ◽  
Linear State ◽  
Eigenvectors And Eigenvalues

AbstractLinear dynamical systems of the Rayleigh form are transformed by linear state variable transformations , where A and B are chosen to simplify analysis and reduce computing time. In particular, A is essentially a square root of M, and B is a Lyapunov quotient of C by A. Neither K nor C is required to be symmetric, nor is C small. The resulting state-space systems are analysed by factorisation of the evolution matrices into reducible factors. Eigenvectors and eigenvalues are determined by these factors. Conditions for further simplification are derived in terms of Kronecker determinants. These results are compared with classical reductions of Rayleigh, Duncan, and Caughey, which are reviewed at the outset.

State-space interpretation of Foster-synthesis method for LC networks

1972 ◽  
Vol 8 (9) ◽  
pp. 240 ◽  
Author(s):  
Satish Puri ◽  
Hiroshi Takeda
Keyword(s):  
State Space ◽  
Synthesis Method

A NEW CURRENT-MODE SQUARE-ROOT-DOMAIN GENERAL NOTCH FILTER

2013 ◽  
Vol 22 (01) ◽  
pp. 1250072 ◽  
Author(s):  
ALI KIRCAY ◽  
M. SERHAT KESERLIOGLU ◽  
UGUR CAM
Keyword(s):  
Process Parameters ◽  
Synthesis Method ◽  
Notch Filter ◽  
Current Mode ◽  
Second Order ◽  
Center Frequency ◽  
Cmos Process ◽  
Square Root ◽  
Mos Transistors ◽  
Level 3

In this paper, a new current-mode second-order square-root-domain general notch filter is proposed. The design is based on the state-space synthesis method with two subcircuit; square-root and squarer/divider circuits. In the circuit, the input and the output values, and dominant variables are all currents. Only MOS transistors and grounded capacitors are required to realize the filter circuit. Three cases of the second-order notch filter were obtained. The regular notch was obtained when ωn = ωp, the lowpass notch was obtained when ωn > ωp, and the highpass notch was obtained when ωn < ωp. The center frequency, and the notch frequency of the filter can be electronically tuned by changing external currents. Time and frequency domain simulations are performed using PSPICE program for the filter to verify the theory and to show the performance of it. For this purpose, the filter is simulated by using TSMC 0.35 μm Level 3 CMOS process parameters.

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