Efficient Wide-Band FIR LTI Systems Derived Via Multi-Rate Techniques and Sparse Bandpass Filters

Sheikh, Zaka Ullah; Johansson, Håkan

doi:10.1109/tsp.2012.2194712

Cited by 8 publications

(3 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In Part II, we propose three reconstruction schemes that offer trade-offs between online redesign and reconstructor complexities. To reduce the complexity, these reconstructors utilize a two-rate based approach [66] which earlier has been used only for uniformly sampled signals [67][68][69][70][71][72][73][74][75]. However, here, the two-rate based approach is extended for the reconstruction of nonuniformly sampled signals which requires new design techniques.…”

Section: Low-complexity Reconstruction Schemesmentioning

confidence: 99%

Signal Reconstruction Algorithms for Time-Interleaved ADCs

Pillai¹

2015

View full text Add to dashboard Cite

An analog-to-digital converter (ADC) is a key component in many electronic systems. It is used to convert analog signals to the equivalent digital form. The conversion involves sampling which is the process of converting a continuous-time signal to a sequence of discrete-time samples, and quantization in which each sampled value is represented using a finite number of bits. The sampling rate and the effective resolution (number of bits) are two key ADC performance metrics. Today, ADCs form a major bottleneck in many applications like communication systems since it is difficult to simultaneously achieve high sampling rate and high resolution. Among the various ADC architectures, the time-interleaved analog-to-digital converter (TI-ADC) has emerged as a popular choice for achieving very high sampling rates and resolutions. At the principle level, by interleaving the outputs of M identical channel ADCs, a TI-ADC could achieve the same resolution as that of a channel ADC but with M times higher bandwidth. However, in practice, mismatches between the channel ADCs result in a nonuniformly sampled signal at the output of a TI-ADC which reduces the achievable resolution. Often, in TI-ADC implementations, digital reconstructors are used to recover the uniform-grid samples from the nonuniformly sampled signal at the output of the TI-ADC. Since such reconstructors operate at the TI-ADC output rate, reducing the number of computations required per corrected output sample helps to reduce the power consumed by the TI-ADC. Also, as the mismatch parameters change occasionally, the reconstructor should support online reconfiguration with minimal or no redesign. Further, it is advantageous to have reconstruction schemes that require fewer coefficient updates during reconfiguration. In this thesis, we focus on reducing the design and implementation complexities of nonrecursive finite-length impulse response (FIR) reconstructors. We propose efficient reconstruction schemes for three classes of nonuniformly sampled signals that can occur at the output of TI-ADCs.iii Firstly, we consider a class of nonuniformly sampled signals that occur as a result of static timing mismatch errors or due to channel mismatches in TI-ADCs. For this type of nonuniformly sampled signals, we propose three reconstructors which utilize a two-rate approach to derive the corresponding single-rate structure. The two-rate based reconstructors move part of the complexity to a symmetric filter and also simplifies the reconstruction problem. The complexity reduction stems from the fact that half of the impulse response coefficients of the symmetric filter are equal to zero and that, compared to the original reconstruction problem, the simplified problem requires only a simpler reconstructor.Next, we consider the class of nonuniformly sampled signals that occur when a TI-ADC is used for sub-Nyquist cyclic nonuniform sampling (CNUS) of sparse multi-band signals. Sub-Nyquist sampling utilizes the sparsities in the analog signal to sample the signal at a lowe...

show abstract

Section: Low-complexity Reconstruction Schemesmentioning

confidence: 99%

Signal Reconstruction Algorithms for Time-Interleaved ADCs

Pillai¹

2015

View full text Add to dashboard Cite

show abstract

“…The frequency response masking technique has received considerable attentions recently [1][2][3][4][5]. The reduction in arithmetic complexity of frequency selective digital filters is due to the use of multirate sparse (namely periodic) subfilters.…”

Section: Introductionmentioning

confidence: 99%

“…Four types of linear-phase FIR differentiators based on FRM filters were designed in [3] and the overhead cost in terms of the delay and the number of delay elements is moderate. Fractional-order differentiators and integrators were examined in [4] [5] and have been extended to variable fractional-delay FIR filters with the two-rate based FRM technique in [6]. The FRM filters have been employed for the design of prototype filters with sharp stopband edges in filter banks with large number of channels [7]- [8].…”

Section: Introductionmentioning

confidence: 99%

A New Algorithm for Non-Multiplier Approximation of Frequency Transformation for Two-Dimensional FRM Filters

Chen

Peng

2013

AMM

View full text Add to dashboard Cite

In this paper, non-multiplier approximation of frequency transformation is examined. 2-D frequency response marking filters with sum of powers-of-two (SOPOT) coefficients are designed. The numbers of adders allocated to transformation coefficients are determined in the experiments so that the resulting 2-D filters preserve the stopband attenuation of the original 1-D prototype filters. Experimental results of 2-D wideband FIR filters with low arithmetic operations and computational complexity are presented.

show abstract

On FIR Filter Approximation of Fractional-Order Differentiators and Integrators

Johansson

2013

IEEE J. Emerg. Sel. Topics Circuits Syst.

View full text Add to dashboard Cite

Efficient Wide-Band FIR LTI Systems Derived Via Multi-Rate Techniques and Sparse Bandpass Filters

Cited by 8 publications

References 16 publications

Signal Reconstruction Algorithms for Time-Interleaved ADCs

Signal Reconstruction Algorithms for Time-Interleaved ADCs

A New Algorithm for Non-Multiplier Approximation of Frequency Transformation for Two-Dimensional FRM Filters

On FIR Filter Approximation of Fractional-Order Differentiators and Integrators

Contact Info

Product

Resources

About