A simple odd-symmetric filter for digital broadcasting

A new odd-symmetric filter for ISI suppression and VSB transmission is proposed. The frequency response of the proposed filter is similar to that of an ideal raised-cosine filter, but in contrast to raised-cosine the new filter is realizable, e.g. using simple active filters. Simulation results show that concerning ISI suppression the new filter is significantly more efficient than the classical Butterworth or Chebyshev filters. The proposed filter can be also used as a VSB filter for TV modulators and demodulators.     

Nyquist 1 universal filters

The Nyquist (1928) 1 filters (NFls) with both nonlinear phase response and amplitude response of nonspecified symmetry are investigated. It is shown that one of the filter's responses (amplitude or phase) can be chosen almost arbitrary. The second one is then derived from the condition of zero intersymbol interference (ISI) in data transmission synchronous systems. As a specific application of the presented theory, a simple procedure for calculating NFl's with ISI-free matched and unmatched filter properties is proposed     

A family of pulse-shaping filters with ISI-free matched andunmatched filter properties

The raised-cosine pulse-shaping filter plays an important role in digital communications due to its intersymbol interference (ISI)-free property. The ISI-free property holds after matched filtering is performed. In this letter, we propose a new family of pulse-shaping filters. These filters are ISI free with or without matched filtering. Using these new pulse-shaping filters, the computational load, and therefore the hardware cost in demodulation for modem design, might be reduced in some applications     

Analysis and optimization of DS-CDMA systems with time-limited partial response chip waveforms

Conventional direct sequence code division multiple access systems (DS-CDMA) using offset quadrature phase shift key (OQPSK) usually employ a strictly bandlimited partial response square-root raised cosine pulse as the chip waveform. They have the disadvantage of large envelope fluctuation that will incur performance degradation due to the intermodulation and bandwidth enlargement caused by post nonlinear processing. To improve the performance of DS-CDMA systems, the chip waveform and receiver should be properly selected. This paper presents a systematic performance analysis of a matched filter receiver and zero-forcing filter (ZF) receiver for DS-CDMA using a time-limited partial response chip waveform. Nevertheless the systematic performance analysis is applicable to bandlimited chip pulse as well. For the zero-forcing filters, we propose to select the frequency responses that satisfy the first Nyquist criterion. With this class of filters, we can choose the roll-off factor to minimize the total power of multiple access interference and noise power. The zero-forcing filter with proper choice of roll-off factor, referred to as optimum ZF, yields a performance better than the matched filter counterpart. The bit error rate (BER) performance of the optimum ZF with superposed quadrature amplitude modulation signal as the time pulse waveform is evaluated. It is shown that the optimum ZF provides better BER performance than conventional OQPSK and minimum shift keying, and its envelope uniformity is much better than that of OQPSK.     

Digital signal processing techniques in Nyquist-WDM transmission systems

In single-carrier wavelength-division multiplexing (WDM) systems, the spectral efficiency can be increased by reducing the channel spacing through digital signal processing (DSP). Two major issues with using tight filtering are cross talk between channels and inter-symbol interference (ISI) within a channel. By fulfilling the Nyquist criterion, Nyquist spectral-shaped WDM systems can achieve narrow channel spacings close to the symbol rate \((\hbox {R}_{\mathrm{S}})\) with negligible cross talk and ISI. In principle, DSP can generate any signals with arbitrary waveforms and spectrum shapes. However, the complexity of DSP is limited by its cost and power consumption. It is necessary to optimize the DSP to achieve the required performance at a minimum complexity. In this paper, we first introduced the background of digital signal processing for Nyquist spectral shaping in optical fiber WDM systems. Then, we investigated the use of digital finite impulse response (FIR) filters to generate Nyquist-WDM 16-ary quadrature amplitude modulation (16QAM) signals with the raised-cosine (RC) and root-raised-cosine (RRC) shape spectra. The system performance of both the RC and RRC spectra is also examined. Moreover, we explored the various methods to reduce digital-to-analog converter (DAC) sampling speed, such as using super-Gaussian electrical filters (E-filter) and spectral pre-emphasis. We also discussed receiver-side matched filter design for Nyquist-WDM receiver optimization.     

一种基于FIR滤波器的非均匀小波周期采样方法

针对Shannon采样定理只能处理带限信号和要求采样率不低于Nyquist率的缺陷,研究了小波空间中的一种非均匀周期采样理论,给出了定理成立的条件及其突破Nyquist率限制的理论依据,将采样理论扩展到了非带限信号领域。对于紧支尺度函数张成的子波空间中的任意信号,可以利用非均匀周期采样所得的样本以及正交镜像滤波器理论求出其小波系数的估计值,进而得到信号的重建表达式。该方法在信号重建的过程中用到的全是有限冲击响应滤波器,避免了无限冲击响应滤波器的出现,降低了实际物理实现的难度。计算机仿真结果表明该方法是切实有效的,信号重建的相对误差小于1%。     

Design and hybrid realization of FIR Nyquist filters with quantized coefficients and low sensitivity to timing jitter

A design of finite impulse response (FIR) Nyquist filters with zero intersymbol interference (ISI) and low sensitivity to timing jitter is presented. Using an affine scaling linear programming algorithm, a near-optimum quantized coefficient set can be obtained in a feasible computational time. By varying a parameter, the design provides a tradeoff between the tail energy of the impulse response in the time domain and the stopband of the magnitude response in the frequency domain. We also present a pipelined multiplier-free FIR filter realization with periodically time-varying (PTV) coefficients based on a hybrid form. The realizations exploit the coefficient symmetry to reduce the hardware by about one half. By placing most of the shifts followed by addition toward the back end of the structure, hardware is reduced due to the shorter wordlength of the adders. The proposed structure has a provision to increase the speed by adjusting a design parameter but at the expense of more hardware.     

Optimum FIR Transmitter and Receiver Filters for Data Transmission Over Band-Limited Channels

The paper deals with the design of digital transmitter and receiver filters with finite impulse response (FIR) for data transmission over band-limited channels. The filters are matched and satisfy a zero intersymbol interference constraint when cascaded. For baseband transmission, the filters achieve optimum spectral concentration in the frequency range[-(1+beta)/2T, (1+beta)/2T]. Mathematically, the filter design leads to a generalized eigenvalue problem which is solved numerically by a projected gradient Procedure. For transmission over bandpass channels by combined amplitude and phase modulation, the design technique is modified so that filters with complex-valued impulse response and optimum spectral concentration in the range of positive bandpass frequencies[f_{c} - (1+beta)/2T, f_{c} + (1+beta)/2T]are obtained. In addition, the complex formulation allows the design of impulse responses with enhanced spectral attenuation in the corresponding range of negative frequencies in order to minimize imageband interference. Results are shown in terms of filter coefficients, signal spectra, and spectral concentrations obtained. For example, filters designed for a voiceband data modem operating at a symbol rate of 2400 baud achieve a spectral concentration of 98.5 percent with 24 coefficients andbeta = 0.1, and with only 0.001 percent of the total energy in the imageband region.     

Jointly optimal filters for data transmission over multiroute systems (Corresp.)

The problem of the joint optimization of transmitting and receiving filters is considered for a data transmitting system in which the channel may he represented during transmission by any element of an ensemble of system functions. It is shown that for any reasonable measure of performance such a system has an optimum receiving filter of a specific structure which, in the joint solution, leads to the existence of minimum total mean-square error filters which are bandlimited to a generalized Nyquist interval.     

基于FIR与相位补偿IIR滤波器的雷达回波信号处理

FIR与IIR频率选择滤波器的设计,被广泛应用于数字信号处理领域之中。文章以雷达回波信号的数字处理为例,首先分别设计FIR,IIR滤波器完成了对信号特定频率分量的滤除。进而,针对IIR滤波器的非线性相位,基于最优化设计全通系统实现了相位补偿,并对FIR,IIR滤波器进行了综合比较。     

Techniques to Generate ISI and Jitter-Free Bandlimited Nyquist Signals and a Method to Analyze Jitter Effects

An analytical method to predict the data pattern dependent jitter is presented. Results obtained are shown to be in excellent agreement with those obtained by computer simulation and laboratory measurement. In order to find methods that can generate an ISI (intersymbol interference) and jitter-free bandlimited Nyquist signal, a double-intervaled raised cosine and its spectral characteristics are studied. Based on this, a search for new double-intervaled pulses having low spectral sidelobes is conducted. Pulses having desirable spectral characteristics and their application in communication systems are discussed. Two methods for the generation of ISI and jitter-free Nyquist signals are described. The first one uses the concept of pulse overlapping while the second one incorporates the nonlinear switching concept. These two methods are equivalent as they can generate the same output signals. Hardware implementation and measured results on this nonlinear switching filter are given. The simplicity of its design and its low cost will enable this type of nonlinear switching filter suitable for use in low bit rate satellite communication systems.     

Digital filter design techniques in the frequency domain

Digital filtering is the process of spectrum shaping using digital components as the basic elements. Increasing speed and decreasing size and cost of digital components make it likely that digital filtering, already used extensively in the computer simulation of analog filters, will perform, in real-time devices, the functions which are now performed almost exclusively by analog components. In this paper, using the z-transform calculus, several digital filter design techniques are reviewed, and new ones are presented. One technique can be used to design a digital filter whose impulse response is like that of a given analog filter; other techniques are suitable for the design of a digital filter meeting frequency response criteria. Another technique yields digital filters with linear phase, specified frequency response, and controlled impulse response duration. The effect of digital arithmetic on the behavior of digital filters is also considered.     

Zero-forcing electrical filters for direct detection opticalsystems

Intersymbol interference (ISI) in direct detection optical systems can limit channel spacing in frequency division multiplexing systems, and data rates, and transmission distances in long-haul transmission. It is desirable to reduce or cancel ISI in these situations, We investigate zero-forcing electrical filters to cancel ISI, and obtain tight performance bounds for minimum noise variance zero-forcing filters. We apply the results to Mach-Zehnder and Fabry-Perot filters, and to fibers with second order dispersion. We compare the performance of zero-forcing filters to that of rectangular impulse response filters and find that zero-forcing filters are advantageous in severe ISI situations with multilevel signalling     

Recursive realization of finite impulse filters using finite field arithmetic

Recursive filter design techniques are described and developed for finite impulse filters using finite field arithmetic. The finite fields considered have the formGF(q^{2}), the Galois field ofq^{2}elements, and are analogous to the field of complex numbers whenqis a prime such that(-1)is not a quadratic residue. These filters can be designed to yield either a desired finite impulse or finite frequency response function. This filtering technique has other possible applications, including the encoding or decoding of information and signal design. Infinite signal trains can be decomposed naturally into orthogonal sequences which may be useful in the encoding and decoding process and may provide another approach to convolutional coding. Since the recursive filters developed here do not have the accumulation of round-off or truncation error that one might expect in recursive computations, such filters are noise-free transducers in the sense of Shannon.     

Design of 2-D Linear Phase Digital Filters Using Schur Decomposition and Symmetries

In this paper we present a new and numerically efficient technique for designing 2-D linear phase octagonally symmetric digital filters using Schur decomposition method (SDM) and the diagonal symmetry of the 2-D impulse response specifications. This technique is based on two steps. First, the 2-D impulse response matrix is decomposed into a parallel realization of k sections, each comprising two cascaded linear phase SISO 1-D FIR digital filters. It is shown that using the symmetry property of the 2-D impulse response matrix and the fact that the left and right eigenspaces obtained by SDM are transpose of each other, the design problem of two 1-D digital filters is reduced to the design problem of only one 1-D digital filter in each section.     

Doppler-corrected differential detection of MPSK

An open-loop technique is presented for estimating and correcting Doppler frequency shift in an M-ary differential phase-shift-keyed (MDPSK) receiver. The novelty of the scheme is based on the observation that whereas the change in phase of the received signal over a full symbol contains the sum of the data (phase) and the Doppler-induced phase shift, the same change in phase over half a symbol (within a given symbol interval) contains only the Doppler-induced phase shift. Thus, by proper processing, the latter can be estimated and removed from the former. Analytical and simulation results are given for the variance of the above estimator, and the error probability performance of the MDPSK receiver is evaluated in the presence of the Doppler correction. Next, the practical considerations associated with the application of this technique on bandlimited Nyquist channels are discussed and incorporated into the final design. It is shown that the receiver can, in the absence of timing jitter, be designed to allow combined Doppler correction and data detection with no penalty due to intersymbol interference (ISI). The effects of ISI due to timing jitter are assessed by computer simulation     

A Least-Squares Filter Design Technique for the Compensation of Frequency Response Mismatch Errors in Time-Interleaved A/D Converters

This paper introduces a least-squares filter design technique for the compensation of frequency response mismatch errors in $M$-channel time-interleaved analog-to-digital converters. The overall compensation system is designed by determining $M$ filter impulse responses analytically through $M$ separate matrix inversions. The proposed technique offers an alternative to least-squares techniques that determine all filters simultaneously. Several design examples are included for illustration.      

A unified approach to IFIR filter design using B-spline functions

An efficient procedure is presented for the design of interpolated finite impulse response (IFIR) filters with linear phase. The algorithm uses the uniform B-spline function as an interpolator and solves the optimal Chebyshev approximation problem on the appropriate subinterval. The technique can be used for the design of general low-pass, high-pass and bandpass filters. Although the number of multiplications of the IFIR filter is dependent on the bandwidth and the center frequency of the desired filter, this approach nearly always provides a substantial reduction in complexity when compared to other FIR and IFIR design procedures     

Design of binary bandlimited signals imbedded in colored Gaussian noise and intersymbol interference

This paper considers the design of binary bandlimited receiver signals as well as the design of the receiver filter for signal immunity to intersymbol interference and additive colored Gaussian noise. The design problem is treated in the frequency domain. The maximum probability of error is minimized by choosing signals with zero intersymbol interference. When transmission is below the Nyquist rate, bandlimited signals with gradual cutoff are designed. Other waveforms, with intersymbol interference but possessing no sequences of unbounded amplitude, are also investigated. Examples are given demonstrating the application of the theory.     

The search for optimized shaping filters suitable for vsat systems

The satellite communications industry has seen the emergence of VSAT (very small aperture terminal) systems with the promise of high growth in the next decade. The system design of the VSAT ground station has generally followed traditional satellite communication system design, namely featuring data transmission using QPSK (quadrature phase shift keying) or BPSK (binary phase shift keying) and 50 per cent raised cosine shaping filters with quasilinear transmission. Transmitter power is strictly limited and is at a premium for the VSAT transmitter which usually consists of a non-linear solid-state power amplifier (SSPA). Consequently it is important to operate the SSPA so that the maximum power is obtained, which means that the SSPA should be operated close to its saturation point. In so doing considerable distortion can be introduced, which leads to intersymbol interference (ISI) in the receiver and an associated degradation in error rate. Although constant envelope BPSK or QPSK solves the intersymbol interference problem and enables operation at the saturating point of the SSPA, the sinx/x spectral shape has unacceptable sidelobe levels. This paper gives results of a search for a pulse shaping filter characteristic that is bandlimited and yet has improved performance over the traditional root 50 per cent cosine roll-off filter when used in a VSAT ground station with a SSPA. The performance improvement due to improved shaping filtering is maintained over a range of output levels of the SSPA. Performance evaluation results using computer simulation are presented.