Undoubtedly, today’s integrated electronic systems owe their remarkable performance
primarily to the rapid advancements of digital technology since 1970s. The various
important advantages of digital circuits are: its abstraction from the physical details of
the actual circuit implementation, its comparative insensitiveness to variations in the
manufacturing process, and the operating conditions besides allowing functional
complexity that would not be possible using analog technology. As a result, digital
circuits usually offer a more robust behaviour than their analog counterparts, though
often with area, power and speed drawbacks. Due to these and other benefits, analog
functionality has increasingly been replaced by digital implementations.
In spite of the advantages discussed above, analog components are far from
obsolete and continue to be key components of modern electronic systems. There is
a definite trend toward persistent and ubiquitous use of analog electronic circuits in
day-to-day life. Portable electronic gadgets, wireless communications and the
widespread application of RF tags are just a few examples of contemporary
developments. While all of these electronic systems are based on digital circuitry,
they heavily rely on analog components as interfaces to the real world. In fact, many
modern designs combine powerful digital systems and complementary analog
components on a single chip for cost and reliability reasons. Unfortunately, the design
of such systems-on-chip (SOC) suffers from the vastly different design styles of
analog and digital components. While mature synthesis tools are readily available for
digital designs, there is hardly any such support for analog designers apart from wellestablished
PSPICE-like circuit simulators. Consequently, though the analog part
usually occupies only a small fraction of the entire die area of an SOC, but its design
often constitutes a major bottleneck within the entire development process.
Integrated continuous-time active filters are the class of continuous-time or
analog circuits which are used in various applications like channel selection in radios,
anti-aliasing before sampling, and hearing aids etc. One of the figures of merit of a
filter is the dynamic range; this is the ratio of the largest to the smallest signal that can
be applied at the input of the filter while maintaining certain specified performance.
The dynamic range required in the filter varies with the application and is decided by
the variation in strength of the desired signal as well as that of unwanted signals that are to be rejected by the filter. It is well known that the power dissipation and the
capacitor area of an integrated active filter increases in proportion to its dynamic
range. This situation is incompatible with the needs of integrated systems, especially
battery operated ones. In addition to this fundamental dependence of power dissipation
on dynamic range, the design of integrated active filters is further complicated by the
reduction of supply voltage of integrated circuits imposed by the scaling down of
technologies to attain twin objective of higher speed and lower power consumption in
digital circuits. The reduction in power consumption with decreasing supply voltage
does not apply to analog circuits. In fact, considerable innovation is required with a
reduced supply voltage even to avoid increasing power consumption for a given signal
to noise ratio (S/N). These aspects pose a great hurdle to the active filter designer.
A technique which has attracted the attention of circuit designers as a possible
route to filters with higher dynamic range per unit power consumption is
“companding”. Companding (compression-expansion) filters are a very promising
subclass of continuous-time analog filters, where the input (linear) signal is initially
compressed before it will be handled by the core (non-linear) system. In order to
preserve the linear operation of the whole system, the non-linear signal produced by
the core system is converted back to a linear output signal by employing an
appropriate output stage. The required compression and expansion operations are
performed by employing bipolar transistors in active region or MOS transistors in
weak inversion; the systems thus derived are known as logarithmic-domain (logdomain)
systems. In case MOS transistors operated in saturation region are employed,
the derived structures are known as Square-root domain systems. Finally, the third
class of companding filters can also be obtained by employing bipolar transistors in
active region or MOS transistors in weak inversion; the derived systems are known as
Sinh-domain systems. During the last several years, a significant research effort has been already
carried out in the area of companding circuits. This is due to the fact that their main
advantages are the capability for operation in low-voltage environment and large
dynamic range originated from their companding nature, electronic tunability of the
frequency characteristics, absence of resistors and the potential for operations in varied
frequency regions.Thus, it is obvious that companding filters can be employed for implementing
high-performance analog signal processing in diverse frequency ranges. For example,
companding filters could be used for realizing subsystems in: xDSL modems, disk
drive read channels, biomedical electronics, Bluetooth/ZigBee applications, phaselocked
loops, FM stereo demodulator, touch-tone telephone tone decoder and
crossover network used in a three-way high-fidelity loudspeaker etc.
A number of design methods for companding filters and their building blocks
have been introduced in the literature. Most of the proposed filter structures operate
either above 1.5V or under symmetrical (1.5V) power supplies. According to data that
provides information about the near future of semiconductor technology, International
Technology Roadmap for Semiconductors (ITRS), in 2013, the supply voltage of digital
circuits in 32 nm technology will be 0.5 V. Therefore, the trend for the implementation of
analog integrated circuits is the usage of low-voltage building blocks that use a single
0.5-1.5V power supply.
Therefore, the present investigation was primarily concerned with the study and
design of low voltage and low power Companding filters. The work includes the
study about: the building blocks required in implementing low voltage and low power
Companding filters; the techniques used to realize low voltage and low power
Companding filters and their various areas of application.
Various novel low voltage and low power Companding filter designs have been
developed and studied for their characteristics to be applied in a particular portable
area of application. The developed designs include the N-th order universal
Companding filter designs, which have been reported first time in the open literature.
Further, an endeavor has been made to design Companding filters with orthogonal
tuning of performance parameters so that the designs can be simultaneously used for
various features. The salient features of each of the developed circuit are described.
Electronic tunability is one of the major features of all of the designs. Use of
grounded capacitors and resistorless designs in all the cases makes the designs suitable
for IC technology. All the designs operate in a low-voltage and low-power
environment essential for portable system applications.
Unless specified otherwise, all the investigations on these designs are based on the
PSPICE simulations using model parameters of the NR100N bipolar transistors and BSIM 0.35μm/TSMC 0.25μm /TSMC 0.18μm CMOS process MOS transistors. The
performance of each circuit has been validated by comparing the characteristics
obtained using simulation with the results present in the open literature.
The proposed designs could not be realized in silicon due to non-availability of
foundry facility at the place of study. An effort has already been started to realize
some of the designs in silicon and check their applicability in practical circuits. At the
basic level, one of the proposed Companding filter designs was implemented using the
commercially available transistor array ICs (LM3046N) and was found to verify the
theoretical predictions obtained from the simulation results
