33 research outputs found
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Channel equalization to achieve high bit rates in discrete multitone systems
textMulticarrier modulation (MCM) techniques such as orthogonal frequency division
multiplexing (OFDM) and discrete multi-tone (DMT) modulation are attractive
for high-speed data communications due to the ease with which MCM can combat
channel dispersion. With all the benefits MCM could give, DMT modulation has an
extra ability to perform dynamic bit loading, which has the potential to exploit fully
the available bandwidth in a slowly time-varying channel. In broadband wireline
communications, DMT modulation is standardized for asymmetric digital subscribe
line (ADSL) and very-high-bit-rate digital subscriber line (VDSL) modems. ADSL
and VDSL standards are used by telephone companies to provide high speed data
service to residences and offices.
In an ADSL receiver, an equalizer is required to compensate for the channel’s
dispersion in the time domain and the channel’s distortion in the frequency domain
of the transmitted waveform. This dissertation proposes design methods for linear
equalizers to increase the bit rate of the connection. The methods are amenable
to implementation on programmable fixed-point digital signal processors, which are
employed in ADSL/VDSL transceivers.
A conventional ADSL equalizer consists of a time-domain equalizer, a fast
Fourier transform, and a frequency domain equalizer. The time domain equalizer
(TEQ) is a finite impulse response filter that when coupled with a discretized channel
produces an equivalent channel whose impulse response is shorter than that of
the discretized channel. This channel shortening is required by the ADSL standards.
In this dissertation, I first propose a linear phase TEQ design that exploits symmetry
in existing eigen-filter approaches such as minimum mean square error(MMSE),
maximum shortening signal to noise ratio (MSSNR) and minimum intersymbol interference
(Min-ISI) equalizers. TEQs with symmetric coefficients can reach the
same performance as non-symmetric ones with much lower training complexity.
Second, I improve Min-ISI design. I reformulate the cost function to make
long TEQs design feasible. I remove the dependency of transmission delay in order
to reduce the complexity associated with delay optimization. The quantized
weighting is introduced to further lower the complexity. I also propose an iterative
optimization procedure of Min-ISI that completely avoids Cholesky decomposition
hence is better suited for a fixed-point implementation.
Finally I propose a dual-path TEQ structure, which designs a standard singleFIR
TEQ to achieve good bit rate over the entire transmission bandwidth, and
designs another FIR TEQ to improve the bit rate over a subset of subcarriers. Dualpath
TEQ can be viewed as a special case of a complex valued filter bank structure
that delivers the best bit rate of existing DMT equalizers. However, dual-path
TEQ provides a very good tradeoff between achievable bit rate vs. implementation
complexity on a programmable digital signal processor.Electrical and Computer Engineerin
Intersymbol and Intercarrier Interference in OFDM Transmissions through Highly Dispersive Channels
This work quantifies, for the first time, intersymbol and intercarrier
interferences induced by very dispersive channels in OFDM systems. The
resulting achievable data rate for \wam{suboptimal} OFDM transmissions is
derived based on the computation of signal-to-interference-plus-noise ratio for
arbitrary length finite duration channel impulse responses. Simulation results
point to significant differences between data rates obtained via conventional
formulations, for which interferences are supposed to be limited to two or
three blocks, versus the data rates considering the actual channel dispersion
Efficient channel equalization algorithms for multicarrier communication systems
Blind adaptive algorithm that updates time-domain equalizer (TEQ) coefficients by Adjacent Lag Auto-correlation Minimization (ALAM) is proposed to shorten the channel for multicarrier modulation (MCM) systems. ALAM is an addition to the family of several existing correlation based algorithms that can achieve similar or better performance to existing algorithms with lower complexity. This is achieved by designing a cost function without the sum-square and utilizing symmetrical-TEQ property to reduce the complexity of adaptation of TEQ to half of the existing one. Furthermore, to avoid the limitations of lower unstable bit rate and high complexity, an adaptive TEQ using equal-taps constraints (ETC) is introduced to maximize the bit rate with the lowest complexity. An IP core is developed for the low-complexity ALAM (LALAM) algorithm to be implemented on an FPGA. This implementation is extended to include the implementation of the moving average (MA) estimate for the ALAM algorithm referred as ALAM-MA. Unit-tap constraint (UTC) is used instead of unit-norm constraint (UNC) while updating the adaptive algorithm to avoid all zero solution for the TEQ taps. The IP core is implemented on Xilinx Vertix II Pro XC2VP7-FF672-5 for ADSL receivers and the gate level simulation guaranteed successful operation at a maximum frequency of 27 MHz and 38 MHz for ALAM-MA and LALAM algorithm, respectively. FEQ equalizer is used, after channel shortening using TEQ, to recover distorted QAM signals due to channel effects. A new analytical learning based framework is proposed to jointly solve equalization and symbol detection problems in orthogonal frequency division multiplexing (OFDM) systems with QAM signals. The framework utilizes extreme learning machine (ELM) to achieve fast training, high performance, and low error rates. The proposed framework performs in real-domain by transforming a complex signal into a single 2–tuple real-valued vector. Such transformation offers equalization in real domain with minimum computational load and high accuracy. Simulation results show that the proposed framework outperforms other learning based equalizers in terms of symbol error rates and training speeds
Bit-Error-Rate-Minimizing Channel Shortening Using Post-FEQ Diversity Combining and a Genetic Algorithm
In advanced wireline or wireless communication systems, i.e., DSL, IEEE 802.11a/g, HIPERLAN/2, etc., a cyclic prefix which is proportional to the channel impulse response is needed to append a multicarrier modulation (MCM) frame for operating the MCM accurately. This prefix is used to combat inter symbol interference (ISI). In some cases, the channel impulse response can be longer than the cyclic prefix (CP). One of the most useful techniques to mitigate this problem is reuse of a Channel Shortening Equalizer (CSE) as a linear preprocessor before the MCM receiver in order to shorten the effective channel length. Channel shortening filter design is a widely examined topic in the literature. Most channel shortening equalizer proposals depend on perfect channel state information (CSI). However, this information may not be available in all situations. In cases where channel state information is not needed, blind adaptive equalization techniques are appropriate. In wireline communication systems (such as DMT), the CSE design is based on maximizing the bit rate, but in wireless systems (OFDM), there is a fixed bit loading algorithm, and the performance metric is Bit Error Rate (BER) minimization. In this work, a CSE is developed for multicarrier and single-carrier cyclic prefixed (SCCP) systems which attempts to minimize the BER. To minimize the BER, a Genetic Algorithm (GA), which is an optimization method based on the principles of natural selection and genetics, is used. If the CSI is shorter than the CP, the equalization can be done by a frequency domain equalizer (FEQ), which is a bank of complex scalars. However, in the literature the adaptive FEQ design has not been well examined. The second phase of this thesis focuses on different types of algorithms for adapting the FEQ and modifying the FEQ architecture to obtain a lower BER. Simulation results show that this modified architecture yields a 20 dB improvement in BER
Analysis of high capacity short reach optical links
Over the last few years, the global Internet traffic has grown exponentially due to the advent of the social networks,
high definition streaming, online gaming, high performance computing and cloud services. The network is
saturating, facing a challenge to provide enough capacity to such ever-demanding bandwidth expensive
applications. Fiber optic communications is the only technology capable of dealing such high demands due to its
advantages over the traditional electrical transmission technology.
The short haul transmissions currently rely on direct detection due to low cost, low power and low complexity as
compared to the coherent detection schemes. In order to increase the bit rate, several advance modulation formats
are under investigation for short reach transmissions. Such links mostly use intensity modulation direct detection
(IMDD) schemes providing a simple system when compared with the coherent receivers.
In this thesis the performance of Multilevel Pulse Amplitude Modulation (MPAM) is studied using IMDD,
providing good spectral efficiency as well as able to deal with the limited electronic devices bandwidth. MPAM
can address the typical optical channel without the need to go with more complex and higher power modulation
schemes. It provides a trade off between sensitivity and the complexity. So a simple communication system using
MPAM is implemented using an external modulated laser transmitted over a distance of 2 km. In order to reduce
the cost, single laser and single receiver technique is being adopted. The performance of the MPAM system in a
bandwidth limited scenarios is studied with a possibility to use equalization techniques to improve the sensitivity.
The utility of Forward Error Correction codes is also studied to improve the performance without increasing the
latency.
By increasing the number of bits per symbol, the system becomes more sensitive to the impairments. Moreover,
the components and the connectors in the transmission system also introduces multipath interference (MPI) that is
a key limitation to the use of advance modulation formats. Hence a detailed study is carried out to investigate the
MPI effects. At the end, a novel idea based on reflective Mach-Zehnder modulator (MZM) is presented that reuses
the modulated wavelength eliminating the need for a laser. As a consequent, the cost and power consumption
specifically targeted for the optical interconnect environment is reduced.
In a nutshell, the thesis provides an overview of the direct detection system targeted to the short optical links. It
includes the studies related to the optical transmission systems and provides an insight of the available advance
modulation formats and the detection schemes. Finally, the simulations and laboratory results are provided
showing that adoption of MPAM is a viable solution that should be employed in high capacity short reach optical
links