By Gordon W. Roberts, Vincent W. Leung
Design and research of Integrator-Based Log-Domain FilterCircuits bargains with the layout and research of log-domain clear out circuits. It describes numerous synthesis equipment that relief the clothier in constructing bipolar or BiCMOS clear out circuits with cut-off frequencies starting from the low kilohertz diversity to a number of countless numbers of megahertz. clear out reaction deviations as a result of transistor-level nonidealities are systematically analyzed, resulting in potent digital repayment schemes. quite a few examples are supplied within the textual content with measured experimental facts from IC prototypes. Design andAnalysis of Integrator-Based Log-Domain filter out Circuits is meant for engineers in learn or improvement, in addition to advanced-level engineering scholars. vast dialogue on clear out textual content metrics also needs to curiosity engineers who're answerable for trying out high-performance, high-speed analog or mixed-signal products.
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Additional info for Design and Analysis of Integrator-Based Log-Domain Filter Circuits
Furthermore, an impressive list of mathematical functions can be readily achieved. This leads us to the discussion of the Translinear Principle. The principle of translinear circuits will be demonstrated on the general single loop network shown in Figure 1-6. In this closed loop configuration, we shall assume that all N devices are forward biased with some arbitrary voltage Also, we let represent the number of elements forward-biased in a clockwise (CW) direction, so that represents the total number of counter-clockwise (CCW) elements.
It is appropriately named the voltage-programmable current mirror . Similarly, this circuit is composed of a single translinear loop with four complementary transistors. However, a voltage source, is now inserted into the loop. 26), we can directly write or with and Here the output current difference of two voltages, gives is expressed in terms of and the exponential Obviously, a wide range of current gain is now realizable by altering The second circuit just demonstrated happens to be the corner stone of the 18 Design and Analysis of Integrator-Based Log-Domain Filter Circuits log-domain filtering technique.
Then we would simply need to join these blocks together according to the specific topology, add the inverse †. 33) are only of illustrative importance. In fact, the linearization and synthesis techniques discussed in this book will hold as long as the mathematical operators are complementary. Therefore, without loss of generality, there can be X-domain filters or systems, as long as the X operator and its complementary are easily realizable with practical circuits. Chapter 1 Introduction 21 22 Design and Analysis of Integrator-Based Log-Domain Filter Circuits operators at the input and output, and the desired linear system will result.