Optimization of Noise Shaping Filter for Quantizer With Error Feedback

Ohno, Shûichi; Tariq, M. Rizwan

doi:10.1109/tcsi.2016.2627031

Cited by 15 publications

(6 citation statements)

References 22 publications

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“…To obtain CT loop filter H[s], we first design DT ΔΣ modulator loop filter that will meet a given resolution requirement by using the method proposed in [5]. We use the Lee coefficient γ = 1.5 which limit the maximum out-of-band gain to 3.52 dB for the NTF with no ELD.…”

Section: Simulation Resultsmentioning

confidence: 99%

“…The majority of ΔΣ modulators in the ADC literature are implemented as discrete-time (DT) circuits such as switched current or switched capacitor [4,5]. However, there is an increasing interest in designing ΔΣ modulators using continuous-time (CT) circuitry, because it is generally possible to clock CT ΔΣ modulators at much higher frequencies as compared to DT ΔΣ modulators [6].…”

Section: Introductionmentioning

confidence: 99%

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Design of a Continuous-Time Loop Filter for ΔΣ Modulators with Excess Loop Delay

Tariq

Ohno

2018

Stochastic Systems Theory and its Applications (SSS)

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In this paper, we propose a continuous-time (CT) loop filter for minimizing the quantization noise in a Delta-Sigma (ΔΣ) modulator. We use the impulseinvariant transformation to obtain a CT loop filter from a discrete-time (DT) loop filter. We consider a nonideal CT ΔΣ modulator which is affected by the excess loop delay (ELD). The ELD is known to affect the stability and noise shaping performance of the CT ΔΣ modulator. Our objective is to design the CT modulator whose stability is not affected by the presence of ELD. A design example for a lowpass CT ΔΣ modulator based radio frequency (RF) receiver is provided for simulations. We also compare the mean squared error (MSE) performance of our modulator with the conventional design.

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Section: Simulation Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Design of a Continuous-Time Loop Filter for ΔΣ Modulators with Excess Loop Delay

Tariq

Ohno

2018

Stochastic Systems Theory and its Applications (SSS)

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“…A sound-shaping quantizer compensates for the resulting increase in quantization noise. The added quantization noise is moved out of the corresponding frequency band by this quantizer, which preserves the desired signal quality level [18]. The decrease in bits simplifies the AD and DA converter design.…”

Section: Proposed δ-σAdc Modulator Architecturementioning

confidence: 99%

Delta-sigma ADC modulator for multibit data converters using passive adder entrenched second order noise shaping

Nahar

Khleaf

2021

Bulletin EEI

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This paper introduces a multi-bit data converters (MDC) modulator of the 2nd order delta-sigma analog-to-digital converter use the passive adder proposed. The noise shaping quantizer can provide feedback that has generated quantization noise and perform additional shaping noise first-order by coupling noise method.Thus, two Integrator's with ring amplifier and the MDC is shaped by noise coupling quantizer know the 2nd-order noise coupled with somewhat of a DAC modulator. At a summing point, the inputs are summed and then filtered with a low pass filter. A cyclic second order response is generated with a data weighted averaging (DWA) technique in which the DACs ' outputs are limited to one of two states in the noise shaping responses. Mainly as a result of the harmonic distortion in circuits of amplifier. Transistor rate is equipped for the fully differential switched condenser integrator used, a comparator and DWA. The modulator with proposed DWA design, almost quarterly improved timing margin. A simulated SNDR of 92dB is obtained at 20 MHz sampling frequency; while a sinusoidal output of 4.112 dBFS is tested at 90µs besides 20 MHz as the bandwidth. The power consumption is 0.33 mW while the voltage of the supply is 1.2V.

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“…The BMI can be converted into an LMI using a change of variables [24], [25]. Thus, as shown in [26], the optimization problem is cast into a convex optimization problem that can be solved numerically and efficiently with a numerical solver such as the CVX [27]. In this case, the order of R[z] should be set to be equal to the order of P [z] because it is the minimum order that can achieve a minimum and a higher order for R[z] does not reduce the minimum [24], [25].…”

Section: Design Of the Noise Shaping Filtersmentioning

confidence: 99%

Mean Squared Error Analysis of Quantizers With Error Feedback

Ohno

Teruyuki

Tariq

et al. 2017

IEEE Trans. Signal Process.

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A ∆Σ modulator that is often utilized to convert analog signals into digital signals can be modeled as a static uniform quantizer with an error feedback filter. In this paper, we present a rate-distortion analysis of quantizers with error feedback including the ∆Σ modulators, assuming that the error owing to overloading in the static quantizer is negligible. We demonstrate that the amplitude response of the optimal error feedback filter that minimizes the mean squared quantization error can be parameterized by one parameter. This parameterization enables us to determine the optimal error feedback filter numerically. The relationship between the number of bits used for the quantization and the achievable mean squared error can be obtained using the optimal error feedback filter. This clarifies the ratedistortion property of quantizers with error feedback. Then, ideal optimal error feedback filters are approximated by practical filters using the Yule-Walker method and the linear matrix inequality-based method. Numerical examples are provided for demonstrating our analysis and synthesis.

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Optimization of Noise Shaping Filter for Quantizer With Error Feedback

Cited by 15 publications

References 22 publications

Design of a Continuous-Time Loop Filter for ΔΣ Modulators with Excess Loop Delay

Design of a Continuous-Time Loop Filter for ΔΣ Modulators with Excess Loop Delay

Delta-sigma ADC modulator for multibit data converters using passive adder entrenched second order noise shaping

Mean Squared Error Analysis of Quantizers With Error Feedback

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